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An improved smoothed molecular dynamics (SMD) method with high‐order shape function† Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-03-01 Shuai Wang; Lei Yang Zhao; Yan Liu
As an efficient molecular simulation method, the smoothed molecular dynamics (SMD) method introduces background mesh and mapping process into molecular dynamics (MD) procedure to suppress high‐frequency modes, so that a much larger time step than that of MD can be adopted. SMD method can achieve a nice overall accuracy, but local atomic disorders cannot be described very well with original SMD method
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Geometrically exact hybrid beam element based on nonlinear programming Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-03-01 Charilaos M. Lyritsakis; Charalampos P. Andriotis; Konstantinos G. Papakonstantinou
This work presents a hybrid shear‐flexible beam‐element, capable of capturing arbitrarily large inelastic displacements and rotations of planar frame structures with just one element per member. Following Reissner’s geometrically‐exact theory, the finite element problem is herein formulated within nonlinear programming principles, where the total potential energy is treated as the objective function
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Efficient stress‐constrained topology optimization using inexact design sensitivities Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-28 Oded Amir
An efficient computational approach to stress‐constrained topology optimization is presented. Using a multigrid‐preconditioned Krylov solver for the state and adjoint problems, the number of Krylov iterations is reduced significantly by enforcing early termination of the iterative solves. The criterion for early termination is based on the convergence of the design sensitivities with respect to Krylov
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Least‐squares virtual element method for the convection‐diffusion‐reaction problem Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-23 Gang Wang; Ying Wang; Yinnian He
In this paper, we introduce a least‐squares virtual element method for the convection‐diffusion‐reaction problem in mixed form. We use the H (div) virtual element and continuous virtual element to approximate the flux and the primal variables, respectively. The method allows for the use of very general polygonal meshes. Optimal order a priori error estimates are established for the flux and the primal
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Weighted integral solvers for elastic scattering by open arcs in two dimensions Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-25 Oscar P. Bruno; Liwei Xu; Tao Yin
We present new methodologies for the numerical solution of problems of elastic scattering by open arcs in two dimensions. The algorithms utilize weighted versions of the classical elastic integral operators associated with Dirichlet and Neumann boundary conditions, where the integral weight accounts for (and regularizes) the singularity of the integral‐equation solutions at the open‐arc endpoints.
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Extrapolation and Ce‐based implicit integration of anisotropic constitutive behavior Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-25 P. Areias; T. Rabczuk; J. Ambrósio
For finite strain plasticity with both anisotropic yield functions and anisotropic hyperelasticity, we use the Kröner‐Lee decomposition of the deformation gradient to obtain a differential‐algebraic system (DAE) in the semi‐implicit form and solve it by an implicit Richards on extrapolated method based on intermediate substeps. The source is here the right Cauchy‐Green tensor and the consistent Jacobian
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Simultaneously iterative procedure based on block Newton method for elastoplastic problems Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-21 Takeki Yamamoto; Takahiro Yamada; Kazumi Matsui
In this article, the authors formulate elastoplastic problems as a coupled problem of the equilibrium equation and the yield condition at each material point, and develop a numerical procedure based on the block Newton method to solve the overall structure using the finite element discretization. For the integration of stress, the backward difference scheme is employed. In the conventional return mapping
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Level‐wise Strain Recovery and Error Estimation for Natural Element Hierarchical Plate Models Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-22 J. R. Cho
Differing from the finite element method, most of mesh‐free methods are restricted to 2‐D problems owing to the difficulty in constructing 3‐D grids. But, for 3‐D elastic structures, this limitation could be effectively overcome when hierarchical models are employed. In the hierarchical models of elastic structures, only the in‐plane displacement field is needed to be approximated because the thickness‐wise
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Structural analysis of composite tubes using a meshless analytical dimensional reduction method Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-22 Saeid Khadem Moshir; Suong V. Hoa; Farjad Shadmehri
A polynomial based model in conjunction with dimensional reduction method are presented to perform cross‐sectional analysis and to determine strain distribution in composite tubes under bending loading. For beam structures with tubular cross‐section, the Variational Asymptotic Method (VAM) has been employed to decompose a 3‐D elasticity problem into a 2‐D cross‐sectional analysis and a 1‐D analysis
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The variable‐extended immersed boundary method for compressible gaseous reactive flows past solid bodies Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-05 Jian‐Hang Wang; Chi Zhang
An immersed boundary method (IBM) has been developed to handle the solid body embedded flowfield simulation for compressible reactive flows, paving the way of application for a wide range of fluid–solid interaction problems. Previously, the Brinkman penalization method (BPM), originated from porous media flows, has been successfully used for incompressible Navier–Stokes equations by adding penalization
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Numerical solution of additive manufacturing problems using a two‐level method Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-21 Alex Viguerie; Ferdinando Auricchio
Additive manufacturing (AM) techniques have grown significantly in recent years due to their ability to produce designs almost impossible to obtain with standard production technologies. This growth has in turn led to increased demand for numerical simulation of additive processes. Unfortunately, such simulations are difficult from the computational point of view, since additive problems are characterized
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Tuned hybrid nonuniform subdivision surfaces with optimal convergence rates Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-19 Xiaodong Wei; Xin Li; Yongjie J. Zhang; Thomas J. R. Hughes
This article presents an enhanced version of our previous work, hybrid nonuniform subdivision (HNUS) surfaces, to achieve optimal convergence rates in isogeometric analysis (IGA). We introduce a parameter λ ( 1 4 < λ < 1 ) to control the rate of shrinkage of irregular regions, so the method is called tuned hybrid nonuniform subdivision (tHNUS). Thus, HUNS is a special case of tHNUS when λ = 1 2 . While
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Hybrid multi‐objective optimization algorithm using Taylor series model and Spider Monkey Optimization Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-12 Radhika Menon; Anju Kulkarni; Deepak Singh; Mithra Venkatesan
Multi‐objective optimization is used for optimizing a number of objectives simultaneously. Mostly, the optimization algorithms considered the previous iterative position to find the next position updates. The main intention of this research is to design and develop a new model to solve the computational complexity, and the resource allocation problem. Based on this perspective, the Taylor series model
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An iterative scheme of flexibility‐based component mode synthesis with higher‐order residual modal compensation Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-19 In Seob Chung; Jin‐Gyun Kim; Soo‐Won Chae; K. C. Park
An Iterative Flexibility‐based Component Mode Synthesis (IF‐CMS) is presented for the model reduction of partitioned structural dynamic systems via localized Lagrange multipliers. A distinct IF‐CMS feature is the inclusion of hierarchical residual flexibility at each iteration, resulting in considerably improved accuracy compared with the classical Craig‐Bampton (CB) CMS method. The present IF‐CMS
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A refinement indicator for adaptive quasicontinuum approaches for structural lattices Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-12 Li Chen; Péter Z. Berke; Thierry J. Massart; Lars A.A. Beex; Marco Magliulo; Stéphane P.A. Bordas
The quasicontinuum (QC) method is a concurrent multiscale approach in which lattice models are fully resolved in small regions of interest and coarse‐grained elsewhere. Since the method was originally proposed to accelerate atomistic lattice simulations, its refinement criteria—that drive refining coarse‐grained regions and/or increasing fully‐resolved regions—are generally associated with quantities
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Coupled thermoelectroelastic analysis of thick and thin laminated piezoelectric structures by exact geometry solid‐shell elements based on the sampling surfaces method Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-10 Gennady M. Kulikov; Svetlana V. Plotnikova
A hybrid‐mixed exact geometry four‐node thermopiezoelectric solid‐shell element through the sampling surfaces (SaS) formulation is proposed. The SaS formulation is based on the choice of an arbitrary number of SaS within layers parallel to the middle surface and located at Chebyshev polynomial nodes in order to introduce the temperatures, displacements and electric potentials of these surfaces as basic
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Image‐based Simulation of Complex Fracture Networks by Numerical Manifold Method Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-18 Jie Wu
Complex geometric features of fracture networks contained in rock masses can be captured by digital images quickly and accurately. However, the continuous and discontinuous deformation simulation of rock masses directly based on digital images is still challenging. Based on the Numerical Manifold Method (NMM), a simple and efficient image‐based simulation method is developed for rock masses containing
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Implementation of the coupled two‐mode phase field crystal model with Cahn–Hilliard for phase‐separation in battery electrode particles Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-17 Karthikeyan Chockalingam; Willy Dörfler
In this article, we present the behavior of two‐mode phase field crystal (2MPFC) method under a concentration dependent deformation. A mixed finite element formulation is proposed for the 2MPFC method that solves a 10th‐order parabolic equation. Lithium concentration diffusion in the electrode particle is captured by the Cahn–Hilliard (CH) equation and the host electrode material, LixMn2O4 (LMO), which
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Numerical implementation and validation of a porous approach for fluid–structure interaction applied to pressurized water reactors fuel assemblies under axial water flow and dynamic excitation Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-10 Vincent Faucher; Guilllaume Ricciardi; Romain Boccaccio; Kevin Cruz; Thibaud Lohez; Simon A. Clément
The proposed contribution is dedicated to numerical methods for solving strongly coupled fluid–structure dynamic problems where the complexity of the structures and the reduced remaining fluid volume do not allow to handle their exact geometry. Porous approaches are preferred instead but it is mandatory to go beyond classical techniques to account for inertial and convective components of the flow
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A‐stable linear two‐step time integration methods with consistent starting and their equivalent single‐step methods in structural dynamics analysis Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-10 Jie Zhang
A spectral consistent starting procedure is proposed for the first‐order‐type A‐stable linear two‐step (LTS) time integration methods in structural dynamics analysis. The accuracy analysis for the LTS methods in structural dynamics is presented based on the first‐order model, which enables the algorithms in first‐order transient systems to be extended to structural dynamics under the umbrella of a
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A computationally tractable framework for nonlinear dynamic multiscale modeling of membrane woven fabrics Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-17 Philip Avery; Daniel Z. Huang; Wanli He; Johanna Ehlers; Armen Derkevorkian; Charbel Farhat
A general‐purpose computational homogenization framework is proposed for the nonlinear dynamic analysis of membranes exhibiting complex microscale and/or mesoscale heterogeneity characterized by in‐plane periodicity that cannot be effectively treated by a conventional method, such as woven fabrics. The framework is a generalization of the “finite element squared” (or FE2) method in which a localized
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Quantification and reduction of uncertainties in a wind turbine numerical model based on a global sensitivity analysis and a recursive Bayesian inference approach Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-16 Adrien Hirvoas; Clémentine Prieur; Elise Arnaud; Fabien Caleyron; Miguel Munoz Zuniga
A framework to perform quantification and reduction of uncertainties in a wind turbine numerical model using a global sensitivity analysis and a recursive Bayesian inference method is developed in this article. We explain how a prior probability distribution on the model parameters is transformed into a posterior probability distribution, by incorporating a physical model and real field noisy observations
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Finite element modeling of electro‐viscoelasticity in fiber reinforced electro‐active polymers Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-21 Anas Kanan; Michael Kaliske
In this work, aspects considering material modeling of electro‐mechanical coupling in fiber reinforced electro‐active polymers (EAP) and the corresponding finite element implementation are considered. We propose a constitutive model that takes into account the electro‐viscoelastic behavior of the isotropic matrix and the influence of unidirectional fibers on both the hyperelastic response and the viscous
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Extended Material Point Method for the 3D Crack Problems† Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-14 Yong Liang; Xiong Zhang; Yan Liu
The material point method (MPM) has demonstrated itself as an effective numerical method to simulate extreme events with large deformations including fracture problems. However, the traditional MPM encounters difficulties in simulating discontinuities due to its continuous nodal shape function. In this paper, The eXtended Material Point Method (XMPM) is proposed to simulate the 3D crack propagation
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Improvement in 3D Topology Optimization with h‐adaptive refinement using the Cartesian Grid Finite Element Method (cgFEM) Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-14 D. Muñoz; J. Albelda; J. J. Ródenas; E. Nadal
The growing number of scienti_c publications on Topology Optimization (TO) shows the great interest that this technique has generated in recent years. Among the di_erent methodologies for TO, this paper focuses on the well known Solid Isotropic Material Penalization (SIMP) method [1], broadly used because of its simple formulation and effciency. Even so, the SIMP method has certain drawbacks, namely:
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Dynamic Cracking Simulation by the Nonlocal Macro‐meso‐scale Damage Model for Isotropic Materials Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-14 Guangda Lu; Jianbing Chen
The newly proposed nonlocal macro‐meso‐scale damage (NMMD) model is extended to dynamic cracking simulation. For this purpose, the framework of continuum damage mechanics and damage constitutive model are firstly described. The NMMD, where the meso‐scale damage is determined according to the deformation of material bond and then the macroscopic topologic damage is endowed with the weighted averaging
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Electroelastic analysis of two‐dimensional ultrathin layered piezoelectric films by an advanced boundary element method Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-17 Yan Gu; Linlin Sun
The aim of the present study is to present an effect boundary element method (BEM) for electroelastic analysis of ultrathin piezoelectric films/coatings. The troublesome nearly singular integrals, which are crucial in applying the BEM for thin‐structural problems, are calculated accurately by using a nonlinear coordinate transformation method. The advanced BEM presented requires no remeshing procedure
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A generic energy‐conserving discrete element modeling strategy for concave particles represented by surface triangular meshes Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-17 Yuntian Feng
A generic energy‐conserving linear normal contact model for concave particles in the discrete element method (DEM) is presented in this article. It is derived based on a recently enhanced general energy‐conserving contact theory for arbitrarily shaped particles. A set of more effective evaluation schemes required in the model are also given, which shows that only the intersection boundary between two
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A robust topology optimization for enlarging working bandwidth of acoustic devices Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-24 Jincheng Qin; Hiroshi Isakari; Kouichi Taji; Toru Takahashi; Toshiro Matsumoto
We propose a novel robust topology optimization for designing acoustic devices that are effective for broadband sound waves. Here, we define the objective function as the weighted sum of the acoustic response to an incident wave consisting of a single frequency and its standard deviation (SD) against the frequency perturbation. By approximating the SD, under the assumption that the incident frequency
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An efficient eight‐node quadrilateral element for free vibration analysis of multilayer sandwich plates Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-10 Mohamed‐Ouejdi Belarbi; Ashraf M. Zenkour; Abdelouahab Tati; Sattar Jedari Salami; Abdelhak Khechai; Mohammed‐Sid‐Ahmed Houari
This article presents a free vibration analysis of laminated sandwich plates under various boundary conditions by using an efficient C0 eight‐node quadrilateral element. This new element is formulated based on the recently proposed layerwise model. The present model assumes an improved first‐order shear deformation theory for the face sheets while a higher‐order theory is assumed for the core maintaining
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Non‐intrusive reduced order modeling: Geometrical framework, high‐order models, and a priori analysis of applicability Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-16 Wawrzyniec J. Kostorz; Ann H. Muggeridge; Matthew D. Jackson
We present an intuitive geometrical framework for non‐intrusive model reduction. Based on simple low‐dimensional geometry that is easy to visualize and interpret, the approach enables one to predict model features a priori and explain them a posteriori. Two simple a priori methods for analyzing the suitability of non‐intrusive model reduction are consequently presented and discussed. As a natural consequence
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A global eigenvalue reassignment method for the stabilization of nonlinear reduced‐order models Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-10 Elnaz Rezaian; Mingjun Wei
The systematic and physics‐infused construction of a projection‐based reduced‐order model (ROM) shows the capability to replicate the original high‐dimensional system's dynamical evolution but with a fractional computational cost. However, certain nonlinear features and high‐frequency contributions may be lost throughout the aggressive order reduction. Thus, ROMs in a broad category of fluid dynamics
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Implementation of Hybridizable Discontinuous Galerkin method for time‐harmonic anisotropic poroelasticity in two dimensions Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-05 Hélène Barucq; Julien Diaz; Rose‐Cloé Meyer; Ha Pham
We apply a Hybridizable Discontinuous Galerkin (HDG) method to numerically solve two‐dimensional anisotropic poroelastic wave equations in the frequency domain given by Biot theory. The motivation for choosing HDG method comes from the complexity of the considered equations and the high number of unknowns. The HDG method possesses all the advantages of Discontinuous Galerkin method (hpadaptivity, accuracy
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Multiscale design of nonlinear materials using a Eulerian shape optimization scheme Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-05 Ahmad R. Najafi; Masoud Safdari; Daniel A. Tortorelli; Philippe H. Geubelle
Motivated by recent advances in manufacturing, the design of materials is in the focal point of interest in the material research community. One of the critical challenges in this field is finding optimal material microstructure for a desired macroscopic response. This work presents a computational method for mesoscale‐level design of particulate composites for an optimal macroscale‐level response
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A real‐time optimization algorithm for the fixed‐stress splitting scheme Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-05 Hermínio T. Honório; Bruno Martins; Clovis R. Maliska
The efficient solution of the systems of equations arising from coupled consolidation problems are a matter of concern worldwide. The fixed‐stress splitting scheme is an effective approach for solving these equations either in a sequential manner or as a preconditioner for a fully coupled approach. Recent studies show that it is possible to improve the rate of convergence of the fixed‐stress approach
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An adjoint‐assisted multilevel multifidelity method for uncertainty quantification and its application to turbomachinery manufacturing variability Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-30 Pavanakumar Mohanamuraly; Jens‐Dominik Müller
In this work we propose, analyze, and demonstrate an adjoint‐based multilevel multifidelity Monte Carlo (MLMF) framework called FastUQ. The framework is based on the MLMF of Geraci et al. and uses the Inexpensive Monte Carlo (IMC) method of Ghate as low‐fidelity surrogate. The setup cost of IMC‐1 surrogate in FastUQ requires just the adjoint solution at the input mean whose computational cost is independent
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An Adaptive Harmonic Polynomial Cell Method with Immersed Boundaries: Accuracy, Stability and Applications Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-04 Chao Tong; Yanlin Shao; Harry B. Bingham; Finn‐Christian W. Hanssen
We present a 2D high‐order and easily accessible immersed‐boundary adaptive Harmonic Polynomial Cell (IB‐AHPC) method to solve fully‐nonlinear wave‐structure interaction problems in marine hydrodynamics using potential‐ow theory. To reduce the total number of cells without losing accuracy, adaptive quad‐tree cell refinements are employed close to the free‐surface and structure boundaries. The present
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Thermo‐elastic topology optimization with stress and temperature constraints Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-03 Qingxuan Meng; Bin Xu; Chao Wang; Lei Zhao
A thermo‐elastic topology optimization with stress and temperature constraints is proposed to attack the complex multi‐physics problem in this paper. Based on the rational approximation of material properties (RAMP), the coupled equations of mechanic and temperature field are solved. Two optimization problems, volume minimization with temperature and stress constraints, and traditional compliance minimization
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Acoustic scattering in nonhomogeneous media and the problem of discontinuous gradients: Analysis and inf‐sup stability in the method of finite spheres Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-03 Williams L. Nicomedes; Klaus‐Jürgen Bathe; Fernando J. S. Moreira; Renato C. Mesquita
In this paper we focus on a meshfree formulation for the solution of time‐harmonic acoustic scattering problems and verify the stability of the procedure. The sound waves propagate in nonhomogeneous media, giving rise to discontinuities in the gradients of the pressure field across the interfaces between regions of different material properties. Meshfree methods usually do not reproduce accurately
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Anderson‐accelerated polarization schemes for fast Fourier transform‐based computational homogenization Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-06 Daniel Wicht; Matti Schneider; Thomas Böhlke
Classical solution methods in fast Fourier transform‐based computational micromechanics operate on, either, compatible strain fields or equilibrated stress fields. By contrast, polarization schemes are primal‐dual methods whose iterates are neither compatible nor equilibrated. Recently, it was demonstrated that polarization schemes may outperform the classical methods. Unfortunately, their computational
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On topology optimization of design‐dependent pressure‐loaded three‐dimensional structures and compliant mechanisms Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-05 Prabhat Kumar; Matthijs Langelaar
This article presents a density‐based topology optimization method for designing three‐dimensional (3D) compliant mechanisms (CMs) and loadbearing structures with design‐dependent pressure loading. Instead of interface‐tracking techniques, the Darcy law in conjunction with a drainage term is employed to obtain pressure field as a function of the design vector. To ensure continuous transition of pressure
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A new method for optimizing the topology of hinge‐free and fully decoupled compliant mechanisms with multiple inputs and multiple outputs Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-03 Jianhua Rong; Xuanpei Rong; Luo Peng; Jijun Yi; Quan Zhou
Compliant mechanisms with multiple inputs and multiple outputs have a wide range of applications in precision mechanics, e.g., cell manipulations, electronic microscopes, and etc. The movement uncoupling and maximum desired output displacements among these devices all become critical because many inputs and outputs are involved. The topology optimization design of compliant mechanisms, which can solve
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A three‐dimensional enhanced dual‐porosity and dual‐permeability approach for hydromechanical modeling of naturally fractured rocks Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-11-26 Julio Rueda; Cristian Mejia; Nilthson Noreña; Deane Roehl
The natural fracture system plays an important role in the development of naturally fractured reservoirs. Traditionally, those reservoirs are simulated using dual‐porosity and dual‐permeability models. Conventional dual‐porosity models adopt over‐simplifications in terms of characterization of the fractured system. Generally, they focus on the hydraulic problem and do not consider the rock and fracture
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A novel primal‐dual eigenstress‐driven method (PEM) for shakedown analysis of structures Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-01 Kai Li; Gengdong Cheng; Yu Wang; Yuan Liang
The shakedown load of elastoplastic structures under multiple variable loading is an important factor in structural design and integrity analysis. In classical plasticity shakedown analysis is an essential and challenging problem. Most existing methods are based on the solution of super large‐scale mathematical programming, basis reduction or mechanics insight method which have their own limitations
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A hybrid level set method for the integrated optimization of structural topology and multi‐component layout Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-01 Xiaopeng Li; Liang Gao; Ying Zhou; Hao Li
A hybrid level set method is proposed for devising structures with embedded components, where the supporting structure as well as the positions and orientations of the components are optimized simultaneously. Two different types of level sets, namely the explicit and implicit level set are introduced to respectively represent the components and supporting structure. In this fashion, smooth geometries
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On the shift‐invert Lanczos method for the buckling eigenvalue problem Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-02-01 Chao‐Ping Lin; Huiqing Xie; Roger Grimes; Zhaojun Bai
We consider the problem of extracting a few desired eigenpairs of the buckling eigenvalue problem Kx = λKGx, where K is symmetric positive semi‐definite, KG is symmetric indefinite, and the pencil K –λKG is singular, namely, K and KG share a non‐trivial common nullspace. Moreover, in practical buckling analysis of structures, bases for the nullspace of K and the common nullspace of K and KG are available
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Frictional interactions for non‐localized beam‐to‐beam and beam‐inside‐beam contact Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-04 Marco Magliulo; Jakub Lengiewicz; Andreas Zilian; Lars A. A. Beex
This contribution presents the extensions of beam‐to‐beam and beam‐inside‐beam contact schemes of the same authors towards frictional interactions. Since the schemes are based on the beams' true surfaces (instead of surfaces implicitly deduced from the beams' centroid lines), the presented enhancements are not only able to account for frictional sliding in the beams' axial directions, but also in the
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Topology optimization employing a condensation method for nonlinear structural frames with supplemental mass Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-31 Navid Changizi; Gordon P. Warn
A topology optimization schema employing a condensation method for nonlinear frame structures with supplemental mass subjected to time‐varying excitation is presented. In the context of the design of structural frames, in certain applications, the supplemental mass can be order(s) of magnitude larger than the mass of the system itself. Thus, condensing the system of governing equations to only those
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An adaptive granular representative volume element model with an evolutionary periodic boundary for hierarchical multiscale analysis Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-05 Tongming Qu; Yuntian Feng; Min Wang
The hierarchical multiscale analysis normally utilizes a microscopic representative volume element (RVE) model to capture path/history‐dependent macroscopic responses instead of using phenomenological constitutive models. However, for problems involving large deformation, the current RVE model used in geomechanics may lose representative properties due to the progressive distortion of the RVE box,
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An efficient and robust structural reliability analysis method with mixed variables based on hybrid conjugate gradient direction Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-19 Peng Huang; Hong‐Zhong Huang; Yan‐Feng Li; Hua‐Ming Qian
Traditional reliability analysis is based on probability theory with precise distributions. However, determining the distribution of all variables precisely is impossible due to insufficient information. Therefore, random and interval variables may be encountered, and probabilistic reliability methods are hard to use. The existing interval variables make reliability analysis more difficult. In this
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Improving efficiency and robustness of enhanced assumed strain elements for nonlinear problems Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-13 Robin Pfefferkorn; Simon Bieber; Bastian Oesterle; Manfred Bischoff; Peter Betsch
The enhanced assumed strain (EAS) method is one of the most frequently used methods to avoid locking in solid and structural finite elements. One issue of EAS elements in the context of geometrically nonlinear analyses is their lack of robustness in the Newton–Raphson scheme, which is characterized by the necessity of small load increments and large number of iterations. In the present work we extend
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Uncertainty‐oriented double‐scale topology optimization with macroreliability limitation and micromanufacturing control Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-05 Lei Wang; Xingyu Zhao; Dongliang Liu; Xiao Chen
This article proposes an uncertainty‐oriented double‐scale topology optimization method considering macroreliability limitation and micromanufacturing control. The procedure combines the homogenization method to solve the equivalent elastic property of the microstructure, the feature distance theory to evaluate reliability, a density projection for manufacturability control, and the solid isotropic
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A C1‐continuous time domain spectral finite element for wave propagation analysis of Euler–Bernoulli beams Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-21 Santosh Kapuria; Mayank Jain
A C1‐continuous time‐domain spectral finite element (SFE) is developed for efficient and accurate analysis of flexural‐guided wave propagation in Euler–Bernoulli beam‐type structures. A new C1‐continuous spectral interpolation using the Lobatto basis is proposed, which is shown to eliminate the Runge phenomenon observed in the conventional higher order Hermite interpolation. It is also able to diagonalize
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Robust topology optimization methodology for continuum structures under probabilistic and fuzzy uncertainties Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-23 Zeng Meng; Yang Wu; Xuan Wang; Shanhong Ren; Bo Yu
Owing to the variations in geometric dimensions, material properties and external loads in engineering applications, robust topology optimization (RTO) has garnered increasing attention in recent years to account for the uncertain behaviors during the preliminary concept design phases. This paper presents a hybrid RTO method to simultaneously resolve the epistemic and aleatory uncertainties. First
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Constrained motion design with distinct actuators and motion stabilization Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2021-01-24 Renate Sachse; Florian Geiger; Manfred Bischoff
The design of adaptive structures is one method to improve sustainability of buildings. Adaptive structures are able to adapt to different loading and environmental conditions or to changing requirements by either small or large shape changes. In the latter case, also the mechanics and properties of the deformation process play a role for the structure’s energy efficiency. The method of variational
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Efficient computation of the magnetic polarizabiltiy tensor spectral signature using proper orthogonal decomposition Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-14 Ben A. Wilson; Paul D. Ledger
The identification of hidden conducting permeable objects from measurements of the perturbed magnetic field taken over a range of low frequencies is important in metal detection. Applications include identifying threat items in security screening at transport hubs, location of unexploded ordnance, and antipersonnel landmines in areas of former conflict, searching for items of archeological significance
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A level set model for stress‐dependent corrosion pit propagation Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-23 Richard Dekker; Frans P. van der Meer; Johan Maljaars; Lambertus J. Sluys
A numerical model for corrosion pit propagation under mechanical loading is presented. The level set method is used for corrosion front tracking and also enables the domain to be split into a solid and a pit domain. In the pit the diffusion of atoms originating from the dissolution process occurring at the pit front is simulated. The model is capable of automatically capturing lacy cover formation
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Addendum to the paper “High‐order symmetric cubature rules for tetrahedra and pyramids” Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-04 Jan Jaśkowiec; N. Sukumar
In Jaśkowiec and Sukumar (Int J Numer Methods Eng, doi: 10.1002/nme.6528, 2020), we presented high‐order (p = 2–20) symmetric cubatures rules for tetrahedra and pyramids. This algorithm was sensitive to the initial location of the cubature nodes, and it did not converge for p > 11 over prisms and hexahedra (cubes). In this addendum, we resolve this issue and obtain high‐order symmetric rules over prisms
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A global residual‐based stabilization for equal‐order finite element approximations of incompressible flows Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-23 Douglas R. Q. Pacheco; Richard Schussnig; Olaf Steinbach; Thomas‐Peter Fries
Due to simplicity in implementation and data structure, elements with equal‐order interpolation of velocity and pressure are very popular in finite‐element‐based flow simulations. Although such pairs are inf‐sup unstable, various stabilization techniques exist to circumvent that and yield accurate approximations. The most popular one is the pressure‐stabilized Petrov–Galerkin (PSPG) method, which consists
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Accessibility of support structures in topology optimization for additive manufacturing Int. J. Numer. Meth. Eng. (IF 2.866) Pub Date : 2020-12-21 Emiel van de Ven; Can Ayas; Matthijs Langelaar; Robert Maas; Fred van Keulen
Additive manufacturing (AM) and topology optimization (TO) have a synergetic relation, as AM can produce complex TO designs, and TO provides high‐performance parts that utilize the form freedom provided by AM. Recently, TO has been tailored more toward AM with the inclusion of the minimum allowable overhang angle as a design constraint: resulting designs can be built without any support structures