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A novel mixed finite element method based on the volume coordinate system for stress analysis of plates Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-03-01 Jintao Zhou, Guanghui Qing
Traditional bilinear isoparametric coordinate systems exhibit sensitivity to mesh distortion due to their fully high-order polynomials being only equivalent to first-order polynomials in Cartesian coordinate systems when confronted with mesh distortion. This paper combines the concept of 3- and 6-component volume coordinate systems (VCS) with the generalized mixed element method to develop a novel
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Simple finite element algorithm for solving antiplane problems with Gurtin–Murdoch material surfaces Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-02-26 María A. Herrera-Garrido, Sofia G. Mogilevskaya, Vladislav Mantič
The finite element algorithm is developed to solve antiplane problems involving elastic domains whose boundaries or their parts are coated with thin and relatively stiff layers. These layers are modeled by the vanishing thickness Gurtin–Murdoch material surfaces that could be open or closed, and smooth or non-smooth. The governing equations for the problems are derived using variational arguments.
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Numerical modelling of shear cutting in complex phase high strength steel sheets: A comprehensive study using the Particle Finite Element Method Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-02-25 Olle Sandin, Patrick Larour, Juan Manuel Rodríguez, Sergi Parareda, Samuel Hammarberg, Jörgen Kajberg, Daniel Casellas
The study examines the shear cutting process of Advanced High Strength Steel using the Particle Finite Element Method. Shear cutting, a crucial process in sheet metal forming, often leads to microcracks and plastic deformation that degrades the material performance in subsequent applications, such as cold forming, crashworthiness, and fatigue resistance. This work utilises the Particle Finite Element
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Application of zonal Reduced-Order-Modeling to tire rolling simulation Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-02-22 D. Danan, R. Meunier, T. Dairay, T. Homolle, M. Yagoubi
Physic-based simulation remains a key enabler for real-world ever-growing complex industrial systems especially when crucial decisions are needed. While classical approaches have proven their accuracy and robustness over the years and come with a rich mathematical foundation, they suffer from several limitations depending of the underlying physics and use cases. For instance, especially concerning
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An enhanced single Gaussian point continuum finite element formulation using automatic differentiation Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-02-19 Njomza Pacolli, Ahmad Awad, Jannick Kehls, Bjorn Sauren, Sven Klinkel, Stefanie Reese, Hagen Holthusen
This contribution presents an improved low-order 3D finite element formulation with hourglass stabilization using automatic differentiation (AD). Here, the former Q1STc formulation is enhanced by an approximation-free computation of the inverse Jacobian. To this end, AD tools automate the computation and allow a direct evaluation of the inverse Jacobian, bypassing the need for a Taylor series expansion
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Robust multi-physical-material topology optimization with thermal-self-weight uncertain loads Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-02-13 Minh-Ngoc Nguyen, Joowon Kang, Soomi Shin, Dongkyu Lee
Most topology optimization techniques for enhanced designs rely on the premise of deterministic loads. Nevertheless, in actuality, variables such as placements, weights, and orientations of applied loads may inadvertently fluctuate. Deterministic load-based designs may exhibit suboptimal structural performance in the presence of loading uncertainties. Uncertain aspects must be considered in topological
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An assumed enhanced strain finite element formulation for modeling hydraulic fracture growth in a thermoporoelastic medium Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-02-11 Fushen Liu
This paper presents an assumed enhanced strain finite element framework for simulating hydraulic fracture propagation in saturated thermoporoelastic media, considering the influence of thermal effects. The proposed approach combines classical thermoporoelasticity theory with a cohesive fracture model to describe the coupled behaviors of fluid flow, rock deformation and fracture propagation. Within
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Sequential sensor placement for damage detection under frequency-domain dynamics Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-02-11 Mark J. Chen, Kavinayan Sivakumar, Gregory A. Banyay, Brian M. Golchert, Timothy F. Walsh, Michael M. Zavlanos, Wilkins Aquino
Identification and monitoring of damage have a growing importance in the maintenance of structures. A robust active sensing framework that integrates model-based inference and optimal sensor placement is proposed. By tightly coupling measured data and data acquisition scenarios, a simultaneous approach of damage estimation and sensor placement can be used to continuously and accurately assess a structure
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Stress-related topology optimization based on Isogeometric Analysis and global stress measures Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-02-05 Yupeng Huang, Song Yao, Xing Chen
This paper presents a robust isogeometric topology optimization (ITO) framework that integrates Isogeometric Analysis (IGA) with global stress measures to enhance both accuracy and stability in stress-related structural optimization. Non-Uniform Rational B-Splines (NURBS)-based IGA is employed to ensure higher-order continuity and refined topology representation, enabling precise stress evaluation
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Conditional value at risk for damage identification in structural digital twins Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-02-01 Facundo N. Airaudo, Harbir Antil, Rainald Löhner
Given measurements from sensors and a set of standard forces, an optimization based approach to perform damage identification in structures is introduced. The key novelty lies in letting the loads and measurements to be random variables. Subsequently, the conditional-value-at-risk (CVaR) is minimized subject to the elasticity equations as constraints. CVaR is a risk measure that leads to minimization
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Improving the computation of forced responses of periodic structures by the wave-based finite element method via a modified generalized Bloch mode synthesis Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-01-29 Vinícius M. de S. Santos, Thiago de P. Sales, Morvan Ouisse
Periodic structures have attracted interest across various fields of science and engineering due to their unique ability to manipulate wave propagation. The Wave-based Finite Element Method (WFEM) is typically employed to model such systems by relying on the dynamic behavior of a single unit cell of the lattice. However, the WFEM can face challenges in handling unit cell finite element (FE) models
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Time-domain finite element model of level-dependent nonlinear filter earplug Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-01-29 Cyril Blondé-Weinmann, Christophe Ruzyla, Sébastien Roth, Pascal Hamery
Nonlinear filter earplugs are hearing protection devices that protect against high-level impulse noises while allowing communication and situational awareness. Unlike conventional passive protectors, these devices provide increasing attenuation with the impulse sound pressure level thanks to filters made of one or more small orifices. Their performances are usually assessed with experimental measurements
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Chebyshev polynomials in moving Kriging meshfree method for laminated composite plates Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-01-19 Lieu B. Nguyen, P. Phung-Van, Chien H. Thai
We propose a new shape function for a meshfree method by combining of moving Kriging (MK) and Chebyshev interpolations, referred to Chebyshev moving Kriging (CMK) interpolations. This approach improves the accuracy of the numerical solutions by using Chebyshev polynomials in place of traditional polynomials. Additionally, Chebyshev polynomials are utilized to represent a higher-order shear deformation
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An adaptive mesh refinement algorithm for stress-based phase field fracture models for heterogeneous media: Application using FEniCS to ice-rock cliff failures Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-01-14 Duc Tien Nguyen, Abhinav Gupta, Ravindra Duddu, Chandrasekhar Annavarapu
Fracture propagation in heterogeneous ice-rock cliffs and hanging glaciers is complicated by the presence of internal interfaces and material property mismatch, so their failure risk is difficult to assess. Despite recent advances, phase-field fracture modeling is computationally expensive for large-scale homogeneous and heterogeneous material media. Here, we present an adaptive mesh refinement algorithm
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A hybrid stress finite element for the efficient nonlinear analysis of masonry walls based on a multi-failure strength domain Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-01-11 G. Bertani, A. Bilotta, A.M. D’Altri, S. de Miranda, F.S. Liguori, A. Madeo
A novel 8-node hybrid stress finite element (FE) is proposed for the efficient nonlinear analysis of in-plane loaded masonry walls. To provide a robust, easy-to-characterize mechanically, and computationally efficient practice-oriented numerical framework, masonry is idealized as an elasto-plastic homogeneous continuum. Elasto-plasticity is considered at the FE level by means of a dual-decomposition
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Advancing industrial finite element software: Developing Model Order Reduction for nonlinear transient thermal problems Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-01-11 Pierre-Eliot Malleval, Ronan Scanff, David Néron
Over the past two decades, non-intrusive techniques have been used to develop reduced-order models for nonlinear structures in industrial environments. These techniques have placed a significant emphasis on a posteriori methods, which often rely on solutions derived from computationally expensive full-order models. Using a priori methods not relying on the full order model might be preferred as they
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Adaptive Interface-PINNs (AdaI-PINNs) for transient diffusion: Applications to forward and inverse problems in heterogeneous media Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-01-10 Sumanta Roy, Dibakar Roy Sarkar, Chandrasekhar Annavarapu, Pratanu Roy, Brice Lecampion, Dakshina Murthy Valiveti
We model transient diffusion in heterogeneous materials using a novel physics-informed neural networks framework (PINNs) termed Adaptive interface physics-informed neural networks or AdaI-PINNs (Roy et al. arXiv preprint arXiv:2406.04626, 2024). AdaI-PINNs utilize different activation functions with trainable slopes tailored to each material region within the computational domain, allowing for a fully
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Designing novel vascular stents with enhanced mechanical behavior through topology optimization of existing devices Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-01-09 Nicola Ferro, Francesco Mezzadri, Dario Carbonaro, Emanuele Galligani, Diego Gallo, Umberto Morbiducci, Claudio Chiastra, Simona Perotto
A variety of different vascular stent designs are currently available on the market, featuring different geometries, manufacturing materials, and physical characteristics. Here, we propose a framework for designing innovative stents that replicate and enhance the mechanical properties of existing devices. The framework includes a Solid Isotropic Material with Penalization (SIMP)-based topology optimization
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Computational modeling of a residually stressed thick-walled cylinder under the combined action of axial extension and inflation Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-01-08 Murtadha J. Al-Chlaihawi, Dariel Desena-Galarza, Heiko Topol, José Merodio
Previous studies have shown that the mechanical response of incompressible hyperelastic materials is affected by the occurrence of residual stresses. In the context of biological soft tissues, such residual stresses result from factors that include growth and development processes. The detailed effect of these initial stresses on mechanical behavior remains to be explored in detail. The magnitude and
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An innovative beam element with section components cohesive interaction for reinforced concrete frames Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-01-08 S.Hamed Ebrahimi
The behavior of a Timoshenko concrete beam reinforced by ribbed steel rebars is a function of the cohesive interaction between the concrete and reinforcement provided via bond-slip or traction-separation law. Bond-slip interactions between top/bottom reinforcements and the concrete beam section considering the shear deformations have been studied in this paper in static loading and nonlinear material
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Formulating finite elements representing a given microstructure without using homogenisation Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-01-06 Kazem Ghabraie
A framework is proposed to directly calculate the stiffness matrix of a macro-element equivalent to a desired microstructure. In a sense, this approach enables the estimation of the “homogenised” properties of microstructures without using the homogenisation theory. The proposed framework is based on assumed displacement fields within equivalent macro-elements. Different displacement assumptions are
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Feature-driven topology optimization of continuum structures with tailored octree meshing Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2025-01-04 Zhen Liu, Liang Xia
To achieve accurate finite element (FE) analysis and to capture intricate geometric features in topology optimization using the feature mapping method, it is essential to apply extreme finely discretized background FE mesh. However, this necessity comes with increased time and memory overheads and may even lead to the failure of solving 3D problems. Consequently, this paper proposes a tailored 2:1
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Development of [formula omitted] smooth isogeometric functions for planar multi-patch domains for NURBS based analysis Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-12-27 Lokanath Barik, Abinash Kumar Swain
This paper proposes a novel framework for constructing C1 smooth isogeometric functions on the planar multipatch domain. We extend the concept of C1 coupling, wherein the null space approach was used to construct geometrically continuous basis functions as linear combinations of C0 basis functions near patch junctions. However, due to the lack of continuity constraints, the resulting approximate basis
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A simple hybrid linear and nonlinear interpolation finite element for the adaptive Cracking Elements Method Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-12-17 Xueya Wang, Yiming Zhang, Minjie Wen, Herbert A. Mang
The Cracking Elements Method (CEM) is a numerical tool for simulation of quasi-brittle fracture. It neither needs remeshing, nor nodal enrichment, or a complicated crack-tracking strategy. The cracking elements used in the CEM can be considered as a special type of Galerkin finite elements. A disadvantage of the CEM is that it uses nonlinear interpolation of the displacement field (e.g. Q8 and T6 elements
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Finite element analysis-enabled optimization of process parameters in additive manufacturing Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-12-17 Jingyi Wang, Panayiotis Papadopoulos
A design optimization framework is proposed for process parameters in additive manufacturing. A finite element approximation of the coupled thermomechanical model is used to simulate the fused deposition of heated material and compute the objective function for each analysis. Both gradient-based and gradient-free optimization methods are developed. The gradient-based approach, which results in a balance
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Plate finite elements with arbitrary displacement fields along the thickness Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-12-14 E. Carrera, D. Scano, E. Zappino
The present paper introduces a methodology for formulating two-dimensional structural theories featuring arbitrary kinematic fields. In the proposed approach, each displacement variable can be examined through an independent expansion function, enabling the integration of both classical and higher-order theories within a unified framework. The Carrera Unified Formulation is used to derive the governing
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An arbitrary Lagrangian-Eulerian corotational formulation for nonlinear dynamic analysis of arbitrarily curved viscoelastic beams Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-12-13 Lanfeng Deng, Mu-Qing Niu, Xin Yang, Yimin Fan, Li-Qun Chen
In this paper, a three-dimensional arbitrary Lagrangian-Eulerian (ALE) formulation based on the consistent corotational method for flexible structures' large deformation problems is proposed. In contrast with the Lagrangian formulations, the proposed formulation can accurately describe moving boundary and load problems using moving nodes. The ALE formulation for flexible structures with an arbitrarily
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An hp-finite element for vibration analysis of laminates reinforced with curvilinear fibres Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-12-06 Pedro Camacho, Pedro Ribeiro, Hamed Akhavan
In this paper, an approach to model thin composite plates reinforced with curvilinear fibres is presented and applied to analyse modes of vibration. Particular attention is given to plates with non-standard geometries, which are less commonly addressed in studies on this topic. Aiming to achieve accuracy with a small number of degrees-of-freedom, the model is based on Kirchhoff’s plate theory, combined
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Dynamic topology optimization incorporating the material anisotropy feature for 3D printed fiber composite structures Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-11-26 Kaiyuan Meng, Junyu Fu, Dianwei Qu, Lei Li, Jikai Liu
For additive manufacturing of fiber-reinforced composites, integrated structural topology optimization and deposition path planning is critical in capturing the anisotropic material feature for designing dynamic performance-oriented structures. Hence, this paper proposes a concurrent optimization method for simultaneously optimizing the structural topology and the fiber deposition path. The Solid Orthotropic
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An adaptive mesh refinement algorithm for crack propagation with an enhanced thermal–mechanical local damage model Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-11-22 Manh Van Pham, Minh Ngoc Nguyen, Tinh Quoc Bui
This paper presents a computationally effective approach for crack propagation under mechanical and thermal loads based on an adaptive mesh refinement (AMR) approach tailored for our recently developed enhanced local damage model. The mesh-dependent issue encountered in the classical local theories is effectively mitigated by incorporation of fracture energy and element characteristic length into the
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Fracture process zone modelling of a magnesia spinel refractory using phase field fracture model Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-11-15 Zain Ali, Shengli Jin, Dietmar Gruber
Fracture in quasi-brittle materials, such as refractories and reinforced concrete, involves complex mechanisms due to a progressive micro-cracking process within a fracture process zone (FPZ). This study employs Wu's phase field model (PFM) to simulate fracture behaviour in a magnesia spinel refractory. The PFM integrates fracture mechanics and damage mechanics, predicting tortuous crack patterns when
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Difference in dynamic direct tensile failure mechanism between homogeneous mortar and three-dimensional mesoscopic concrete based on the split Hopkinson tension bar Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-11-15 Jing He, Dianah Mazlan, Badorul Hisham Abu Bakar, Li Chen
At the mesoscale, concrete is considered a three-phase composite material comprising stone, mortar, and the interfacial transition zone. Even though mortar is an important component of concrete, its material parameters have not been determined systematically, and they are often modeled by assuming that they are weaker versions of the concrete parameters. Therefore, accurately describing the role of
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Concurrent multiscale modelling of woven fabrics: Using beam finite elements with contact at mesoscale Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-11-09 Celso Jaco Faccio Júnior, Vijay Nandurdikar, Alfredo Gay Neto, Ajay B. Harish
The mechanical behaviour of textile materials, fundamental to textile composites, is critical for designing advanced material solutions. Mechanical modelling of textiles is highly complex due to the interactions between yarns, resulting in distinct nonlinear characteristics for different textile patterns. Therefore, engineering methods are essential for analysing loading scenarios and integrating decisions
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Enhancing data representation in forging processes: Investigating discretization and R-adaptivity strategies with Proper Orthogonal Decomposition reduction Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-11-07 David Uribe, Camille Durand, Cyrille Baudouin, Régis Bigot
Effective data reduction techniques are crucial for enhancing computational efficiency in complex industrial processes such as forging. In this study, we investigate various discretization and mesh adaptivity strategies using Proper Orthogonal Decomposition (POD) to optimize data reduction fidelity in forging simulations. We focus particularly on r-adaptivity techniques, which ensure a consistent number
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Impact of surface roughness on the formation of necking instabilities in additive manufactured porous metal plates subjected to dynamic plane strain stretching Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-11-06 M. Anil Kumar, J.C. Nieto-Fuentes, J.A. Rodríguez-Martínez
This paper investigates the influence of surface roughness on multiple necking formation in additive manufactured porous ductile plates subjected to dynamic plane strain stretching. For this purpose, we have developed a computational model in ABAQUS/Explicit which includes surface texture and discrete voids measured from 3D-printed metallic specimens using optical profilometry and X-ray tomography
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Investigation of nonlinear buckling of FGM shells using a high-order finite continuation approach Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-11-06 Oussama Elmhaia, Omar Askour, Yassir Sitli, Said Mesmoudi, Mohammed Rammane, Oussama Bourihane, Youssef Hilali
This study investigates the buckling behavior of cylindrical shells composed of Functionally Graded Materials (FGMs) when subjected to axial compression, challenging conventional assumptions regarding the influence of Poisson’s effect in homogeneous materials. To address this, we utilize a numerical approach employing the Asymptotic Numerical Method (ANM). Contrary to the expected linear pre-buckling
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Dual failure analysis of 3D structures under cyclic loads using bFS-FEM based numerical approaches Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-11-02 Phuc L.H. Ho, Canh V. Le, Changkye Lee, Dung T. Tran, Phuong H. Nguyen, Jurng-Jae Yee
Failure mechanism of 3D structures cannot always be produced by the low-order finite elements due to the so-called volumetric locking effect. In this paper, dual numerical approaches based on the bubble face-based smoothed finite element method (bFS-FEM) are developed, ensuring that the locking problem is prevented and accurate load factors of elastic-perfectly plastic structures under cyclic actions
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3D analysis of reinforced concrete structural components using a multi-surface elasto-plastic-anisotropic-damage material model Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-10-30 A. Torabizadeh, A. Sarikaya, R.E. Erkmen
Elastic-Plastic-Damage material models are widely adopted for the numerical modelling of concrete because of their capability of representing pressure sensitive 3D material behaviour considering permanent inelastic deformations as well as degradation of material moduli beyond the elastic range. In this paper, we develop a non-associative multi-surface plastic-damage material model for the 3D solid
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Efficient thermal modeling of laser directed energy deposition using the forward Euler scheme: Methodology, merits and limitations Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-10-21 Simon Essongue, Vaibhav Nain, Muriel Carin
This paper explores mesoscale conduction-based modeling of Laser Directed Energy Deposition (LDED) for metallic materials. We benchmark the forward Euler (explicit) time integration strategy against the backward Euler (implicit) scheme using two experimentally validated simulations. Our results demonstrate the explicit scheme’s faster computational speed. Additionally, we identify previously overlooked
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Optimum thickness design method for micro-shell structure embedded in 3D macrostructure Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-10-17 Rina Nagai, Masatoshi Shimoda, Musaddiq Al Ali
In this study, we propose a multiscale thickness optimization method for designing micro-shell structure assuming that the macrostructure consists of multiple micro-shell structures. The micro-shell structures are connected to the macrostructure using the NIAH (Novel numerical implementation of asymptotic homogenization) method. The distributed thickness of the micro-shell structures is used as design
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Adaptive stopping criterion of iterative solvers for efficient computational cost reduction: Application to Navier–Stokes with thermal coupling Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-10-15 Ghaniyya Medghoul, Gabriel Manzinali, Elie Hachem, Aurélien Larcher
In this article, a strategy for efficient computational cost reduction of numerical simulations for complex industrial applications is developed and evaluated on multiphysics problems. The approach is based on the adaptive stopping criterion for iterative linear solvers previously implemented for elliptic partial differential equations and the convection–diffusion equation. Control of the convergence
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Multi-objective topological design considering functionally graded materials and coated fiber reinforcement Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-10-09 Hyunseung Ryu, Jeonghoon Yoo
This study presents a multi-objective topology optimization method tailored to structures fabricated from functionally graded materials (FGMs), coated FGMs, and coated fiber-reinforced composite materials (FRCMs) with fixed fiber thickness. The design objective is the simultaneous minimization of elastic and thermal compliance. The material properties of these composite materials were derived to generate
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The influence of anomalies in supporting structures on the validation of finite-element blade bearing models Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-10-09 Matthis Graßmann, Matthias Stammler, Oliver Menck, Florian Schleich
Finite-element analysis is the only means to determine the load distribution of large slewing bearings considering flexible bearing rings and supporting structures. For reliable results, the plausibility of the models need to be validated. Previous attempts on validating a finite-element model of a slewing bearing against measurement results have indicated a huge dependence of the deformation on tolerances
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Numerical and experimental predictions of the static behaviour of thick sandwich beams using a mixed {3,2}-RZT formulation Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-10-07 M. Sorrenti, M. Gherlone
This paper presents a numerical and experimental assessment of the static behaviour of thick sandwich beams using the mixed {3,2}-Refined Zigzag Theory (RZT{3,2}(m)). The displacement field of the RZT{3,2}(m) assumes a piecewise continuous cubic zigzag distribution for the axial contribution and a smoothed parabolic variation for the transverse one. At the same time, the out-of-plane stresses are assumed
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Application of a finite element method variant in nonconvex domains to parabolic problems Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-10-04 Anjaly Anand, Tamal Pramanick, Abhishek Das
In this paper we address one of the major difficulties which is the nonconvex behavior of the domains while finding the solution of the problems. The part of the domain where the nonsmoothness appears is where the challenge arises and the way that area is handled using different numerical methods reveals the effectiveness of these techniques. Here in this article, we study the semilinear parabolic
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Spur gear tooth root stress analysis by a 3D flexible multibody approach and a full-FE contact-based formulation Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-10-04 Valentin Mouton, Emmanuel Rigaud, Cyril Chevrel-Fraux, Pierre Casanova, Joël Perret-Liaudet
This paper proposes an original method to determine the gear tooth root stresses from a 3D finite element (FE) flexible multibody approach and a full-FE contact-based formulation. The contact problem is dealt with an augmented Lagrangian formulation whereas the analysis is performed by a preconditioned gradient solver (PCG). Tooth flank modifications are directly introduced within the 3D model. This
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Meso-scale modelling of complex fibre composite geometries using an immersed boundary method Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-09-26 Elias Börjesson, Clemens V. Verhoosel, Joris J.C. Remmers, Martin Fagerström
This paper investigates the application of immersed methods to simplify the discretisation and modelling process for meso-scale geometries in fibre-reinforced composites. The geometry of meso-scale structures in fibre-reinforced composites can often be categorised as complex, and frequently presents considerable challenges for meshing software. This complexity necessitates either time-consuming manual
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Stability maps for the slightly compressible poker chip detachment problem Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-09-23 András Levente Horváth, Attila Kossa
The “poker chip problem” was originally investigated experimentally to create hydrostatic tension in rubber-like materials. Different modes of contact failure were already described during these experiments. Since then, this problem has proven to be useful for investigating the detachment mechanisms of dry adhesives. This is primarily achieved with FE simulations, as many important quantities cannot
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Reduced order online and offline data-driven modeling to investigate the nonlinear dynamics of laminate structures under multiparametric uncertainties Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-09-20 K. Chikhaoui, V. Couillard, Y. Guevel, J.M. Cadou
Manufacturing processes of composites involve a margin of parameter variability (e.g., geometric, mechanical, loading) which results in an inaccurate prediction of their dynamics when considered with exact assumptions. Real-time calculation of such structures confronts engineers with several challenges (e.g., dimension of finite element model, size of parameter space, uncertainty level, nonlinearity)
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A two-level semi-hybrid-mixed model for Stokes–Brinkman flows with divergence-compatible velocity–pressure elements Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-09-17 Pablo G.S. Carvalho, Philippe R.B. Devloo, Sônia M. Gomes
A two-level version for a recent semi-hybrid-mixed finite element approach for modeling Stokes and Brinkman flows is proposed. In the context of a domain decomposition of the flow region Ω, composite divergence-compatible finite elements pairs in H(div,Ω)×L2(Ω) are utilized for discretizing velocity and pressure fields, using the same approach previously adopted for two-level mixed Darcy and stress
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A non-intrusive multiscale framework for 2D analysis of local features by GFEM — A thorough parameter investigation Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-09-13 A.C.P. Bueno, N.A. Silveira Filho, F.B. Barros
This work comprehensively investigates key parameters associated with a recently proposed non-intrusive coupling strategy for multiscale structural problems. The IGL-GFEMgl combines the Iterative Global Local Method and the Generalized Finite Element Method with global–local enrichment, GFEMgl. Different scales of the problem are solved using distinct finite element codes: the commercial software Abaqus
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A modular finite element approach to saturated poroelasticity dynamics: Fluid–solid coupling with Neo-Hookean material and incompressible flow Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-09-11 Paulo H. de F. Meirelles, Jeferson W.D. Fernandes, Rodolfo A.K. Sanches, Wilson W. Wutzow
Several methods have been developed to model the dynamic behavior of saturated porous media. However, most of them are suitable only for small strain and small displacement problems and are built in a monolithic way, so that individual improvements in the solution of the solid or fluid phases can be difficult. This study shows a macroscopic approach through a partitioned fluid–solid coupling, in which
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On the Gauss–Legendre quadrature rule of deep energy method for one-dimensional problems in solid mechanics Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-09-11 Thang Le-Duc, Tram Ngoc Vo, H. Nguyen-Xuan, Jaehong Lee
Deep energy method (DEM) has shown its successes to solve several problems in solid mechanics recently. It is known that determining proper integration scheme to precisely calculate total potential energy (TPE) value is crucial to achieve high-quality training performance of DEM but it has not been discovered satisfactorily in previous related works. To shed light on this matter, this study focuses
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A Chimera method for thermal part-scale metal additive manufacturing simulation Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-09-04 Mehdi Slimani, Miguel Cervera, Michele Chiumenti
This paper presents a Chimera approach for the thermal problems in welding and metallic Additive Manufacturing (AM). In particular, a moving mesh is attached to the moving heat source while a fixed background mesh covers the rest of the computational domain. The thermal field of the moving mesh is solved in the heat source reference frame. The chosen framework to couple the solutions on both meshes
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Solving linear elasticity benchmark problems via the overset improved element-free Galerkin-finite element method Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-09-02 Javier A. Zambrano-Carrillo, Juan C. Álvarez-Hostos, Santiago Serebrinsky, Alfredo E. Huespe
A novel approach for the solution of linear elasticity problems is introduced in this communication, which uses a hybrid chimera-type technique based on both finite element and improved element-free Galerkin methods. The proposed overset improved element-free Galerkin-finite element method (Ov-IEFG-FEM) for linear elasticity uses the finite element method (FEM) throughout the entire problem geometry
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Finite element modeling of thermal residual stresses in functionally graded aluminum-matrix composites using X-ray micro-computed tomography Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-08-31 Witold Węglewski, Anil A. Sequeira, Kamil Bochenek, Jördis Rosc, Roland Brunner, Michał Basista
Metal-ceramic composites by their nature have thermal residual stresses at the micro-level, which can compromise the integrity of structural elements made from these materials. The evaluation of thermal residual stresses is therefore of continuing research interest both experimentally and by modeling. In this study, two functionally graded aluminum alloy matrix composites, AlSi12/Al2O3 and AlSi12/SiC
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An efficient reduced order model for nonlinear transient porous media flow with time-varying injection rates Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-08-29 Saeed Hatefi Ardakani, Giovanni Zingaro, Mohammad Komijani, Robert Gracie
An intrusive Reduced Order Model (ROM) is developed for nonlinear porous media flow problems with transient and time-discontinuous fluid injection rates. The proposed ROM is significantly more computationally efficient than the Full Order Model (FOM). The training regime is generated using the FOM with constant injection rates during the offline stage. The trained ROM exhibits high accuracy for complex
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Approximation of acoustic black holes with finite element mixed formulations and artificial neural network correction terms Finite Elem. Anal. Des. (IF 3.5) Pub Date : 2024-08-26 Arnau Fabra, Oriol Guasch, Joan Baiges, Ramon Codina
Wave propagation in elastodynamic problems in solids often requires fine computational meshes. In this work we propose to combine stabilized finite element methods (FEM) with an artificial neural network (ANN) correction term to solve such problems on coarse meshes. Irreducible and mixed velocity–stress formulations for the linear elasticity problem in the frequency domain are first presented and discretized