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Phase‐field model for ductile fracture in the stress resultant geometrically exact shell Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-13 Ran Ma, WaiChing Sun, Tong Guo
SummaryWe present a phase‐field fracture model for a stress resultant geometrically exact shell in finite deformation regime where the configuration manifold evolves according to deformation and fracture. The Reissner–Mindlin shell problem is first solved via the finite element method, where the independent unknown fields are the displacement and director. The phase‐field ductile fracture model is
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Fast explicit time integration schemes for parabolic problems in mechanics Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-13 Eugenio Oñate, Francisco Zárate, Juan M. Gimenez, Rainald Lohner, Sergio R. Idelsohn
We present a family of fast explicit time integration schemes of first, second and third order accuracy for parabolic problems in mechanics solved via standard numerical methods that have considerable higher computational efficiency versus existing explicit methods of the same order. The derivation of the new explicit schemes is inspired on the finite increment calculus (FIC) procedure used for obtaining
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An efficient shear and bending‐locking‐free quadrilateral plate element using a modified Hellinger‐Reissner functional and the Bergan free formulation Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-11 Jean‐Louis Batoz, Irwan Katili, Susilo Widyatmoko, Eduard Antaluca
This paper presents a general variational principle as theoretical support for creating a simple and efficient quadrilateral plate finite element called BKWA, having only a single displacement and two rotations at corner nodes according to the Reissner‐Mindlin plate theory. The functional is a modified Hellinger‐Reissner in terms of the kinematic variables and independent transverse shear strains.
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A three‐dimensional thermal‐electrochemical‐mechanical‐porous flow multiscale formulation for battery cells Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-11 Sandeep Kulathu, Juan A. Hurtado, Kingshuk Bose, Youngwon Hahn, Pavel A. Bouzinov, Robert L. Taylor, Victor Oancea
Several decades after the invention of the rechargeable Li‐ion battery, countless innovations from both the research and industry communities have led to placing the secondary battery at the heart of the electrification revolution in recent years. Mathematical and numerical models have been trusted companions in advancing the technology to help guide design improvements or to gain insight when physical
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Pattern formation in dense populations studied by inference of nonlinear diffusion-reaction mechanisms Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-06 Siddhartha Srivastava, Krishna Garikipati
Reaction-diffusion systems have been proposed as a model for pattern formation and morphogenesis. The Fickian diffusion typically employed in these constructions model the Brownian motion of particles. The biological and chemical elements that form the basis of this process, like cells and proteins, occupy finite mass and volume and interact during migration. We propose a Reaction-Diffusion system
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Efficient stochastic modal decomposition methods for structural stochastic static and dynamic analyses Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-06 Zhibao Zheng, Michael Beer, Udo Nackenhorst
This article presents unified and efficient stochastic modal decomposition methods to solve stochastic structural static and dynamic problems. We extend the idea of deterministic modal decomposition method for structural dynamic analysis to stochastic cases. Standard/generalized stochastic eigenvalue equations are adopted to calculate the stochastic subspaces for stochastic static/dynamic problems
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Radial point interpolation-Chebychev method with asymptotic numerical method for nonlinear buckling analysis of graphene oxide powder-reinforced composite beams Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-06 Omar Askour, Mohammed Rammane, Said Mesmoudi, Youssef Hilali, Oussama Bourihane
This study aims to analyze the buckling and post-buckling behaviors of multilayer nanocomposite beams reinforced with graphene oxide powders (GOPs) at low concentrations. The GOPs are randomly oriented and evenly distributed throughout the composite layers, with their weight fraction varying in the thickness direction. The Halpin-Tsai model is employed to estimate each layer's effective material properties
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A new Hermite finite element for nonlinear Kirchhoff rods: The plane case Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-08 Francisco Armero
This article presents the formulation of a finite element method for nonlinear Kirchhoff rods, based on a interpolation of the rod's geometry in terms of Hermite shape functions. The critical use of the same interpolation scheme for both the geometry and the kinematics of the rod is shown to lead to the correct invariant properties of the final numerical formulation, thus leading to the correct resolution
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An ANS/ATFs-based unsymmetric solid-shell finite element algorithm for high-quality finite deformation analysis of hyper-elastic shell Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-05 Ru-Xia Ma, Song Cen, Chen-Feng Li
An effective updated Lagrangian (UL) algorithm is designed for extending the recent distortion-tolerant unsymmetric 8-node, 24-DOF hexahedral solid-shell element, US-ATFHS8, to finite deformation analysis of hyper-elastic shell structures. The distinguishing feature of this unsymmetric element is that two different interpolation schemes are employed for virtual displacement and real stress calculations
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Nonlinear statics of three-dimensional curved geometrically exact beams by a hierarchal quadrature element method Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-05 Bo Liu, Pan Xie
Nonlinear static analyses of three-dimensional (3D) curved geometrically exact beams are carried out using a hierarchal quadrature element method (HQEM) in this work. The initial value of the rotational quaternions is computed from an initial-value problem with arc-length as the “time” variable, so that the quaternions can be differentiated in subsequent computation. The 3D curved geometrically exact
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Penalty‐free discontinuous Galerkin method Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-04 Jan Jaśkowiec, N. Sukumar
In this article, we present a new high‐order discontinuous Galerkin (DG) method, in which neither a penalty parameter nor a stabilization parameter is needed. We refer to this method as penalty‐free DG. In this method, the trial and test functions belong to the broken Sobolev space, in which the functions are in general discontinuous on the mesh skeleton and do not meet the Dirichlet boundary conditions
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Stress field and interaction forces between dislocations and precipitate distributions Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-01 A. Takahashi, T. Kasuya, N. M. Ghoniem
A computational method is developed for calculation of the stress field and interaction forces between dislocations and precipitates of arbitrary shape and distribution. The internal stress generated by precipitates due to coherency strain is implemented within the discrete dislocation dynamics (DDD) framework. The s‐version finite element method (s‐FEM), which models a precipitate of arbitrary shape
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High‐order models for hydro‐mechanical coupling problems in multiscale porous media Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-01 Hong Zuo, Zhiqiang Yang, Junzhi Cui, Shouchun Deng, Haibo Li, Zitao Guo
An accurate prediction of nonlinear hydro‐mechanical (HM) coupling in subsurface structures with pronounced heterogeneity at multiple spatial scales is still an open topic and crucial for numerous engineering applications, for example, hydraulic fracturing and enhanced geothermal systems. In this study, novel high‐order multi‐scale asymptotic solutions are developed to accurately capture the locally
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A multiscale preconditioner for crack evolution in porous microstructures: Accelerating phase‐field methods Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-28 Kangan Li, Yashar Mehmani
Phase‐field methods are attractive for simulating the mechanical failure of geometrically complex porous microstructures described by 2D/3D x‐ray CT images in subsurface (e.g., CO storage) and manufacturing (e.g., Li‐ion battery) applications. They capture the nucleation, growth, and branching of fractures without prior knowledge of the propagation path or having to remesh the domain. Their drawback
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Correction to Non‐linear space–time elasticity Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-28
S. Schuß, S. Glas and C. Hesch, DOI: 10.1002/nme.7194 In equation (8) on page 1968 a typo within the equation occurred: The second term on the right-hand side of the equation, we have to write ∂ψ(F,H,J)∂H×F$$ \frac{\partial \psi \left(F,H,J\right)}{\partial H}\times F $$ We apologize for this error.
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A FE2 shell model with periodic boundary conditions for thin and thick shells Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-28 Friedrich Gruttmann, Werner Wagner
In this article a FE2 shell model for thin and thick shells within a first order homogenization scheme is presented. A variational formulation for the two‐scale boundary value problem and the associated finite element formulation is developed. Constraints with 5 or 9 Lagrange parameters are derived which eliminate both rigid body movements and dependencies of the shear stiffness on the size of the
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A stable formulation of correspondence‐based peridynamics with a computational structure of a method using nodal integration Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-24 Jiarui Wang, Masoud Behzadinasab, Weican Li, Yuri Bazilevs
SummaryIn this paper, we lay out a variational framework for correspondence‐based peridynamic (PD) formulations of solid mechanics. Using the framework, we address the numerical instabilities of the original version of correspondence‐based PD by developing a natural stabilization technique that avoids costly bond‐associated approaches and retains the structure of a method with nodal integration. Accuracy
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Some remarks on load modeling in nonlinear structural analysis–Statics with large deformations–Consistent treatment of follower load effects and load control Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-21 Karl Schweizerhof, Alexander Konyukhov
Load modeling in nonlinear statics, particularly incorporating large deformations differs significantly from the treatment in linear analysis. As in structural dynamics masses in a gravity field generate the loading, their location, and their modifications within the deformation process must be considered in a nonlinear simulation. A specific view besides loading by masses is on gas and fluid interaction
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Higher-order inverse mass matrices for the explicit transient analysis of heterogeneous solids Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-15 Robert Cimrman, Radek Kolman, José A. González, K.C. Park
New methods are presented for the direct computation of higher-order inverse mass matrices (also called reciprocal mass matrices) that are used for explicit transient finite element analysis. The motivation of this work lies in the need of having appropriate sparse inverse mass matrices, which present the same structure as the consistent mass matrix, preserve the total mass, predict suitable frequency
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Assumed strain methods in micromechanics, laminate composite voxels and level sets Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-20 Jonas Lendvai, Matti Schneider
This work deals with the composite voxel method, which—in its original form—furnishes voxels containing more than one material with a surrogate material law accounting for the heterogeneity in the voxel. We show that the laminate composite voxel technique naturally arises as an assumed strain method, that is, the general framework introduced by Simo‐Rifai, for a specific choice of enhanced strain field
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An implicit Updated Lagrangian Fragile Points Method with a support domain refinement scheme for solving large deformation problems Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-14 Xueyan Dai, Zetao Ke, Mingjing Li, Leiting Dong, Satya N. Atluri
Engineering structures may undergo large deformations, but simulating is still challenging for existing numerical methods, for example, the element-based methods struggle from the mesh distortion and the strong form particle-based methods exhibit tensile instability. This article aims on presenting a novel numerical method for large deformation simulations, which is named the implicit Updated Lagrangian
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Evolutionary topology optimization approach to design multiphase soundproof systems with poroelastic media Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-14 Rodrigo L. Pereira, Lidy M. Anaya-Jaimes, Renato Pavanello
With the constant development of cities, noise sources have become increasingly present inside and outside living environments. Consequently, soundproof systems comprised of porous materials have been widely adopted as filling fabric of closed-space structures, such as in the components of buildings, airplanes or automobiles. However, in many situations, simply filling spaces may not be the most effective
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Uncertainty-oriented thermoelastic topology optimization with stress constraint Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-14 Changzheng Cheng, Bo Yang, Xuan Wang, Ikjin Lee
The material redistribution abilities of traditional deterministic topology optimization are effective in addressing stress-related design issues in thermal elastic structures. However, uncertainties are inevitable in real-world. The structural strength of a design, achieved through deterministic topology optimization, is highly susceptible to these uncertainties, which may result in failure. This
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Face-centred finite volume methods for Stokes flows with variable viscosity Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-14 Ruben Sevilla, Thibault Duretz
Six face-centred finite volume formulations are derived and compared for the simulation of Stokes flows with spatially varying viscosity. The main difference between the methods derived is the mixed variable used in the mixed formulation and the use of a weak or strong form in each element using integration by parts. A brief discussion about the properties of the different methods is provided, including
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Structure preserving and energy dissipative contact approaches for implicit dynamics Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-13 M. A. Puso, J. H. Porter, T. Slavik
In this work, several structure preserving and energy dissipative contact approaches are proposed and evaluated. The time integration schemes considered are general with regard to the version of constraint type, but here the emphasis was on mortar contact. The proposed mortar contact approach conserves both linear and angular momentum for mortar contact in a novel way. The proposed time integration
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Probabilistic relative entropy in elasto-plasticity using the iterative generalized stochastic stress-based Finite Element Method Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-13 Marcin Kamiński, Rafał Bredow
The generalized iterative stochastic perturbation approach to the stress-based Finite Element Method has been proposed in this work. This approach is completed using the complementary energy principle, Taylor expansion of the general order applicable to all random functions and parameters as well as nodal polynomial response bases determined with the use of the Least Squares Method. The main aim of
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Discrete variable topology optimization for maximizing single/multiple natural frequencies and frequency gaps considering the topological constraint Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-12 Zeyu Deng, Yuan Liang, Gengdong Cheng
Finding optimized structural topology design for maximizing natural frequencies and frequency gaps of continuum structures is crucial for engineering applications. However, two significant numerical issues must be addressed: non-smoothness caused by multiple frequencies and Artificial Localized Rigid Motion (ALRM) modes due to the violation of the topological constraint related to isolated islands
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Use of effective multiscale cohesive models in the simulation of spall in metal plates Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-07 A. Pandolfi, M. Ortiz
Ductile fracture of metals is the net result of void nucleation, growth and coalescence mechanisms that operate at the microscale. Optimal scaling analysis provides the analytical form of the effective material law that models the ductile fracture phenomena at the macroscale. The upscaled model of ductile behavior assumes the form of a cohesive relation—surface traction versus displacement—of the power-law
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Design sensitivity analysis of modal frequencies of elastic structures submerged in an infinite fluid domain Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-09 Chang-Jun Zheng, Meng-Wei Han, Hong-Yong Chen, Shuai Wang, Chuan-Xing Bi
This paper presents a numerical approach for the design sensitivity analysis of modal frequencies of elastic structures submerged in an unbounded heavy fluid domain. Because the feedback of sound pressure onto the fluid-loaded structures has to be taken into account in this case, a fully coupled scheme which combines the structural finite element method (FEM) and the acoustic boundary element method
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M-PINN: A mesh-based physics-informed neural network for linear elastic problems in solid mechanics Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-08 Lu Wang, Guangyan Liu, Guanglun Wang, Kai Zhang
Physics-informed neural networks (PINNs) have emerged as a promising approach for solving a wide range of numerical problems. Nevertheless, conventional PINNs frequently face challenges in model convergence and stability when optimizing complex loss functions containing complex gradients. In this study, a new mesh-based PINN method, called M-PINN, is proposed drawing the ideas of the finite element
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Transverse shear parametrization in hierarchic large rotation shell formulations Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-05 Rebecca Thierer, Bastian Oesterle, Ekkehard Ramm, Manfred Bischoff
Consistent treatment of large rotations in common Reissner–Mindlin formulations is a complicated task. Reissner–Mindlin formulations that use a hierarchic parametrization provide an elegant way to facilitate large rotation shell analyses. This can be achieved by the assumption of linearized transverse shear strains, resulting in an additive split of strain components, which technically simplifies implementation
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On the implementation of a material point-based arc-length method Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-06 Nathan D. Gavin, Giuliano Pretti, William M. Coombs, John C. Brigham, Charles E. Augarde
The material point method is a versatile technique which can be used to solve various types of solid mechanics problems, especially those involving large deformations. However, the capability of the material point method to track a load-displacement response can deteriorate once a limit point, such as snap-through or snap-back, in the response is encountered. One way of overcoming this is to use path
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Hexahedral finite elements with enhanced fixed-pole interpolation for linear static and vibration analysis of 3D micropolar continuum Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-04 Laura Grbac, Gordan Jelenic, Dragan Ribarić, Sara Grbčić Erdelj
The spotlight of this research is on the application of the fixed-pole interpolation, sometimes used in the analysis of three-dimensional (3D) geometrically non-linear beams, but for which no attempts have been made to apply it to linear analysis so far. Particular attention is given to the correlation between the linearised forms of the fixed-pole and helicoidal interpolation with the linked interpolation
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Converting pixel-type topology optimization results to MMC-representation based on sparse optimization and its applications Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-31 Ran Ling, Gang Xu, Xiaoyu Zhang, Jinlan Xu, Xu Guo
How to realize the switching between various topology optimization approaches such as SIMP and moving morphable component (MMC) method, is a crucial challenge in the field of structural design. In this article, a robust conversion framework is proposed to convert a pixel-type topology optimization result to MMC representation. Based on the sparse optimization approach, the framework enables the determination
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NN-mCRE: A modified constitutive relation error framework for unsupervised learning of nonlinear state laws with physics-augmented neural networks Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-25 Antoine Benady, Emmanuel Baranger, Ludovic Chamoin
This article proposes a new approach to train physics-augmented neural networks with observable data to represent mechanical constitutive laws. To train the neural network and learn thermodynamics potentials, the proposed method does not rely on strain-stress or strain-free energy pairs but needs only partial strain or displacement measurements inside the structure. The neural network is trained thanks
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A convergence-enhanced Timoshenko beam element for the stochastic nonlinear analysis of reinforced concrete components Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-25 Dong Xiang, Xiangling Gao
An effective and precise physical model is generally required for the performance assessment of reinforced concrete (RC) components. In this study, a convergence-enhanced Timoshenko beam element considering finite deformation is proposed for the stochastic nonlinear analysis of RC components. The unified framework of the rank 2 correction matrix is obtained by approximating the iterative matrix through
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An enriched virtual element method for 2D-3C generalized membrane shell model on surface Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-25 Qian Yang, Xiaoqin Shen, Jikun Zhao, Yumin Cheng
Dealing with complex shell surfaces using the finite element method, we are often limited to simple geometric meshes such as triangles and quadrangles and have to refine the meshes to meet the calculation accuracy requirements, significantly increasing the calculation cost. The virtual element method (VEM), a new numerical method with high mesh flexibility, has been widely applied to many physical
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An adaptive sampling algorithm for reduced-order models using Isomap Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-23 Rakesh Halder, Krzysztof J. Fidkowski, Kevin J. Maki
The use of reduced-order models (ROMs) in physics-based modeling and simulation is a popular tool for drastically lowering the computational cost associated with high-fidelity simulations. ROMs use training data from a set of computed high-fidelity simulations with different design parameters that control physical and geometric properties of the full-order model. The quality of the training data dictates
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Assessment of the possibility of quantitative identification of the Mannesmann effect using ductile fracture criteria Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-23 Tomasz Bulzak, Łukasz Wójcik, Konrad Lis, Tomasz Kusiak
This article presents a study to estimate the possibility of determining the shape and size of a Mannesmann effect crack using the finite element method. Experimental tests were carried out to obtain reference specimens with a crack. A rotational compression test of cylindrical specimens in a channel was used for the experimental studies. Finite element tests were carried out using nine ductile fracture
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A fully coupled regularized mortar-type finite element approach for embedding one-dimensional fibers into three-dimensional fluid flow Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-23 Nora Hagmeyer, Matthias Mayr, Alexander Popp
The present article proposes a partitioned Dirichlet-Neumann algorithm, that allows to address unique challenges arising from a novel mixed-dimensional coupling of very slender fibers embedded in fluid flow using a regularized mortar-type finite element discretization. The fibers are modeled via one-dimensional (1D) partial differential equations based on geometrically exact nonlinear beam theory,
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Reduced order modeling based inexact FETI-DP solver for lattice structures Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-22 T. Hirschler, R. Bouclier, P. Antolin, A. Buffa
This paper addresses the overwhelming computational resources needed with standard numerical approaches to simulate architected materials. Those multiscale heterogeneous lattice structures gain intensive interest in conjunction with the improvement of additive manufacturing as they offer, among many others, excellent stiffness-to-weight ratios. We develop here a dedicated HPC solver that benefits from
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Modeling dynamic cracks initiation and propagation with the local to global approach Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-21 Zhaoyang Ma, Yuchao Guo, Wei Liu, Xiaofei Zhang, Xingming Guo
The recently proposed local to global (L2G) method shows an excellent ability of modeling complex arbitrary cracking problem with high efficiency and robustness. Here, we extend the L2G to model dynamic cracks initiation and propagation, in which additional nodes are dynamically introduced to capture displacement discontinuities induced by cracks' propagation, but displacements/accelerations of additional
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Contact framework for total Lagrangian smoothed particle hydrodynamics using an adaptive hybrid kernel scheme Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-21 I Made Wiragunarsa, Lavi Rizki Zuhal, Tatacipta Dirgantara, Ichsan Setya Putra
Total Lagrangian SPH (TLSPH) offers many advantages that can overcome instability and computational time issues. However, it is not naturally applicable to problems with contact. Many problems in solid dynamics and structural analysis require contact definition. In order to use the total Lagrangian formulation, further development for the contact algorithm is required. This research proposes an algorithm
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Element-free Galerkin method for a fractional-order boundary value problem Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-21 Akshay Rajan, Shubham Desai, Sai Sidhardh
In this article, we develop a meshfree numerical solver for fractional-order governing differential equations. More specifically, we develop a mesh-free interpolation-based element-free Galerkin numerical model for the fractional-order governing differential equations. The proposed fractional element-free Garlekin (f-EFG) numerical model is a lighter and more accurate alternative to existing mesh-based
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Concurrent multiscale and multi-material optimization method for natural vibration design of porous structures Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-14 Masatoshi Shimoda, Junpei Fujita, Musaddiq Al Ali, Ayu Kamiya
This paper proposes a concurrent multiscale optimization method of macrostructure topology and microstructure shapes for porous structures, aimed at maximizing a specified natural frequency. The multi-material distribution of the macrostructure and the shape of the microstructures are optimized by topology and shape optimization, respectively. The homogenized properties of the porous materials are
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A shape optimization pipeline for marine propellers by means of reduced order modeling techniques Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-14 Anna Ivagnes, Nicola Demo, Gianluigi Rozza
In this article, we propose a shape optimization pipeline for propeller blades, applied to naval applications. The geometrical features of a blade are exploited to parametrize it, allowing to obtain deformed blades by perturbating their parameters. The optimization is performed using a genetic algorithm that exploits the computational speed-up of reduced order models to maximize the efficiency of a
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Non-parametric measure approximations for constrained multi-objective optimisation under uncertainty Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-11 M. Rivier, N. Razaaly, P.M. Congedo
In this article, we propose non-parametric estimations of robustness and reliability measures approximation error, employed in the context of constrained multi-objective optimisation under uncertainty (OUU). These approximations with tunable accuracy permit to capture the Pareto front in a parsimonious way, and can be exploited within an adaptive refinement strategy. First, we illustrate an efficient
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TO-NODE: Topology optimization with neural ordinary differential equation Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-10 Qiaochu Ma, Edward C. De Meter, Saurabh Basu
Deep learning methods have become attractive recently to accelerate topology optimization (TO) because of their capability to save huge computational costs with negligible sacrifice in the quality of final topologies. However, most current approaches rely on numerical mechanics platforms for training which incur significant computation costs. Further, current approaches are not suited for dynamically
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On the number of subproblem iterations per coupling step in partitioned fluid-structure interaction simulations Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-08 Thomas Spenke, Nicolas Delaissé, Joris Degroote, Norbert Hosters
In literature, the cost of a partitioned fluid-structure interaction scheme is typically assessed by the number of coupling iterations required per time step, while ignoring the internal iterations within the nonlinear subproblems. In this work, we demonstrate that these internal iterations have a significant influence on the computational cost of the coupled simulation. Particular attention is paid
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Development of GPU-based matrix-free strategies for large-scale elastoplasticity analysis using conjugate gradient solver Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-08 Utpal Kiran, Deepak Sharma, Sachin Singh Gautam
In recent years, matrix-free conjugate gradient (CG) solvers with graphics processing unit (GPU) acceleration have been effectively used to reduce the execution timings of finite element method (FEM)-based engineering simulations. However, there is not much in the literature that discusses the application of matrix-free CG solvers for elastoplasticity. The primary challenge is the presence of both
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Mesh free analysis with Galerkin finite block method for linear PDEs Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-08 M. Lei, C. Z. Shi, P. H. Wen, J. Sladek, V. Sladek
Based on the Garlerkin method, the Galerkin finite block method (GFBM) is proposed to deal with two-dimensional (2D) linear partial differential equations (PDEs) with variable coefficients in this paper. The mapping technique is utilized to transform a block in physical domain into normalized square. Physical variables are approximated with double layer Chebyshev polynomials for 2D problem. A set of
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An extended phase-field approach for the efficient simulation of fatigue fracture processes Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-08 Christian Krüger, Verena Curoşu, Stefan Loehnert
Fatigue fracture simulations with the phase-field method (PFM) lack efficiency due to the fine meshes required, especially when each load cycle is simulated explicitly. Recent developments in combining the phase-field method for brittle fracture with the extended/generalised finite element method (XFEM/GFEM) show a remarkable reduction of the number of degrees of freedom and thus a reduction of computational
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Imposing different boundary conditions for thermal computational homogenization problems with FFT- and tensor-train-based Green's operator methods Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-07 Lennart Risthaus, Matti Schneider
To compute the effective properties of random heterogeneous materials, a number of different boundary conditions are used to define the apparent properties on cells of finite size. Typically, depending on the specific boundary condition, different numerical methods are used. The article at hand provides a unified framework for Lippmann–Schwinger solvers in thermal conductivity and Dirichlet (prescribed
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A large deformation multiphase continuum mechanics model for shock loading of soft porous materials Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-03 Zachariah T. Irwin, John D. Clayton, Richard A. Regueiro
A large deformation, coupled finite-element (FE) model is developed to simulate the multiphase response of soft porous materials subjected to high strain-rate loading. The approach is based on the theory of porous media (TPM) at large deformations. Simplifications to the one-dimensional regime studied in the numerical simulations follow. An overview of several different time integration schemes is
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A high-order shell finite element for the large deformation analysis of soft material structures Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-03 A. Pagani, R. Augello, E. Carrera
This work proposes a higher-order unified shell finite element for the analysis of cylinders made of compressible and nearly incompressible hyperelastic materials. The nonlinear governing equations are derived employing the Carrera unified formulation (CUF), thanks to which it is possible to build shell elements with the capability to capture three-dimensional (3D) transverse and out-of-plane effects
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Extended quasicontinuum methodology for highly heterogeneous discrete systems Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2023-12-27 Benjamin Werner, Jan Zeman, Ondřej Rokoš
Lattice networks are indispensable to study heterogeneous materials such as concrete or rock as well as textiles and woven fabrics. Due to the discrete character of lattices, they quickly become computationally intensive. The QuasiContinuum (QC) Method resolves this challenge by interpolating the displacement of the underlying lattice with a coarser finite element mesh and sampling strategies to accelerate
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Evaluating material point methods on problems involving free surfaces and strong gradients Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2023-12-20 Joshuah Wolper, Konstantinos Garyfallogiannis, Prashant K. Purohit, John L. Bassani
The material point method (MPM) enables large-deformation simulations of complex material behaviors with natural multi-material coupling. However, MPM struggles to accurately capture fields related to material discontinuities, for example, traction-free surfaces, making MPM fracture simulation challenging. Many MPMs seek to alleviate this challenge, but comparing these approaches has been elusive.