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A first‐order hyperbolic arbitrary Lagrangian Eulerian conservation formulation for non‐linear solid dynamics Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-04-24 Thomas B. J. Di Giusto, Chun Hean Lee, Antonio J. Gil, Javier Bonet, Matteo Giacomini
SummaryThe paper introduces a computational framework using a novel Arbitrary Lagrangian Eulerian (ALE) formalism in the form of a system of first‐order conservation laws. In addition to the usual material and spatial configurations, an additional referential (intrinsic) configuration is introduced in order to disassociate material particles from mesh positions. Using isothermal hyperelasticity as
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Nonlinear response modelling of material systems using constrained Gaussian processes Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-04-23 Sumudu Herath, Souvik Chakraborty
This article investigates the suitability of constrained Gaussian process regression in predicting nonlinear mechanical responses of material systems with notably reduced uncertainties. This study reinforces the conventional Gaussian processes with mechanics‐informed prior knowledge observed in various kinematic responses. Stiffening and softening responses of material systems mostly demonstrate at
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Plug‐and‐play adaptive surrogate modeling of parametric nonlinear dynamics in frequency domain Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-04-16 Phillip Huwiler, Davide Pradovera, Jürg Schiffmann
We present an algorithm for constructing efficient surrogate frequency‐domain models of (nonlinear) parametric dynamical systems in a non‐intrusive way. To capture the dependence of the underlying system on frequency and parameters, our proposed approach combines rational approximation and smooth interpolation. In the approximation effort, locally adaptive sparse grids are applied to effectively explore
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Reducing time and memory requirements in topology optimization of transient problems Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-04-12 M. J. B. Theulings, R. Maas, L. Noël, F. van Keulen, M. Langelaar
In topology optimization of transient problems, memory requirements and computational costs often become prohibitively large due to the backward‐in‐time adjoint equations. Common approaches such as the Checkpointing (CP) and Local‐in‐Time (LT) algorithms reduce memory requirements by dividing the temporal domain into intervals and by computing sensitivities on one interval at a time. The CP algorithm
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Extension of the a posteriori finite element method (APFEM) to geometrical alterations and application to stochastic homogenisation Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-04-09 Yanis Ammouche, Antoine Jérusalem
We recently proposed an efficient method facilitating the parametric study of a finite element mechanical simulation as a postprocessing step, that is, without the need to run multiple simulations: the a posteriori finite element method (APFEM). APFEM only requires the knowledge of the vertices of the parameter space and is able to predict accurately how the degrees of freedom of a simulation, i.e
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Thermodynamically consistent numerical modeling of immiscible two‐phase flow in poro‐viscoelastic media Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-04-08 Jisheng Kou, Amgad Salama, Huangxin Chen, Shuyu Sun
Numerical modeling of immiscible two‐phase flow in deformable porous media has become increasingly significant due to its applications in oil reservoir engineering, geotechnical engineering and many others. The coupling between two‐phase flow and geomechanics gives rise to a major challenge to the development of physically consistent mathematical models and effective numerical methods. In this article
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On sparse regression, Lp‐regularization, and automated model discovery Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-04-08 Jeremy A. McCulloch, Skyler R. St. Pierre, Kevin Linka, Ellen Kuhl
Sparse regression and feature extraction are the cornerstones of knowledge discovery from massive data. Their goal is to discover interpretable and predictive models that provide simple relationships among scientific variables. While the statistical tools for model discovery are well established in the context of linear regression, their generalization to nonlinear regression in material modeling is
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Higher‐order generalized‐α methods for parabolic problems Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-04-06 Pouria Behnoudfar, Quanling Deng, Victor M. Calo
We propose a new class of high‐order time‐marching schemes with dissipation control and unconditional stability for parabolic equations. High‐order time integrators can deliver the optimal performance of highly accurate and robust spatial discretizations such as isogeometric analysis. The generalized‐ method delivers unconditional stability and second‐order accuracy in time and controls the numerical
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On the role of tissue mechanics in fluid–structure interaction simulations of patient‐specific aortic dissection Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-04-06 Richard Schussnig, Malte Rolf‐Pissarczyk, Kathrin Bäumler, Thomas‐Peter Fries, Gerhard A. Holzapfel, Martin Kronbichler
Modeling an aortic dissection represents a particular challenge from a numerical perspective, especially when it comes to the interaction between solid (aortic wall) and liquid (blood flow). The complexity of patient‐specific simulations requires a variety of parameters, modeling assumptions and simplifications that currently hinder their routine use in clinical settings. We present a numerical framework
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A multiscale anisotropic polymer network model coupled with phase field fracture Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-04-06 Prajwal Kammardi Arunachala, Sina Abrari Vajari, Matthias Neuner, Jay Sejin Sim, Renee Zhao, Christian Linder
The study of polymers has continued to gain substantial attention due to their expanding range of applications, spanning essential engineering fields to emerging domains like stretchable electronics, soft robotics, and implantable sensors. These materials exhibit remarkable properties, primarily stemming from their intricate polymer chain network, which, in turn, increases the complexity of precisely
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Machine learning in solid mechanics: Application to acoustic metamaterial design Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-04-05 D. Yago, G. Sal‐Anglada, D. Roca, J. Cante, J. Oliver
Machine learning (ML) and Deep learning (DL) are increasingly pivotal in the design of advanced metamaterials, seamlessly integrated with material or topology optimization. Their intrinsic capability to predict and interconnect material properties across vast design spaces, often computationally prohibitive for conventional methods, has led to groundbreaking possibilities. This paper introduces an
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Asymptotic homogenization of phase‐field fracture model: An efficient multiscale finite element framework for anisotropic fracture Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-04-02 Pu‐Song Ma, Xing‐Cheng Liu, Xue‐Ling Luo, Shaofan Li, Lu‐Wen Zhang
The intractable multiscale constitutives and the high computational cost in direct numerical simulations are the bottlenecks in fracture analysis of heterogeneous materials. In an attempt to achieve a balance between accuracy and efficiency, we propose a mathematically rigorous phase‐field model for multiscale fracture. Leveraging the phase‐field theory, the difficulty of discrete‐continuous coupling
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Featured Cover Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-04-01 Qian Yang, Xiaoqin Shen, Jikun Zhao, Yumin Cheng
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Body‐fitted topology optimization via integer linear programming using surface capturing techniques Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-26 Anderson Soares da Costa Azevêdo, Hao Li, Naouyuki Ishida, Lucas Oliveira Siqueira, Rômulo Luz Cortez, Emílio Carlos Nelli Silva, Shinji Nishiwaki, Renato Picelli
Recent advancements in computational tools and additive manufacturing have expanded design possibilities on fluid devices and structures to also include aesthetics. However, traditional discrete density‐based topology optimization methods usually use square and cubic regular meshes, resulting in jagged contour patterns that require mesh refinement and post‐processing to numerical solution steps of
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A nonlinear finite viscoelastic formulation relative to the viscous intermediate configuration applied to plants Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-03-22 Jakob Platen, Bennett Pauls, Atul Anantheswar, Thea Lautenschläger, Christoph Neinhuis, Michael Kaliske
In the contribution at hand, a new formulation for finite strain viscosity relative to the viscous intermediate configuration is presented. The evolution of the viscous deformations is based upon a new numerical approach, which allows for a consistent consideration of anisotropic finite strain viscoelasticity, according to the authors knowledge. A standard Maxwell model is used to describe viscous
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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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Accelerating structural dynamics simulations with localised phenomena through matrix compression and projection-based model order reduction Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-13 Konstantinos Agathos, Konstantinos Vlachas, Anthony Garland, Eleni Chatzi
In this work, a novel approach is introduced for accelerating the solution of structural dynamics problems in the presence of localised phenomena, such as cracks. For this category of problems, conventional projection-based Model Order Reduction (MOR) methods are either limited with respect to the range of system configurations that can be represented or require frequent solutions of the Full Order
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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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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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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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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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Computational multiphase micro-periporomechanics for dynamic shear banding and fracturing of unsaturated porous media Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-02-05 Hossein Pashazad, Xiaoyu Song
Dynamic shearing banding and fracturing in unsaturated porous media are significant problems in engineering and science. This article proposes a multiphase micro-periporomechanics (μ$$ \mu $$PPM) paradigm for modeling dynamic shear banding and fracturing in unsaturated porous media. Periporomechanics (PPM) is a nonlocal reformulation of classical poromechanics to model continuous and discontinuous
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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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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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Hybrid stress and heat-flux formulation of thermodynamics for long-term simulations in thermo-viscoplasticity Int. J. Numer. Meth. Eng. (IF 2.9) Pub Date : 2024-01-30 Samir Suljević, Adnan Ibrahimbegovic, Samir Dolarević
In this article, we present a variational formulation for coupled problems in thermodynamics the most suitable for long-term simulations of plastic behavior. We start with three-field Hu–Washize variational formulation and perform regularization to include non-symmetric stress, we thus recover the formulation that can accommodate any choice of discrete approximation. Such a regularized variational
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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