Search Results - "International journal for numerical methods in engineering"

Dual-horizon peridynamics by Ren, Huilong, Zhuang, Xiaoying, Cai, Yongchang, Rabczuk, Timon

“…Summary In this paper, we develop a dual‐horizon peridynamics (DH‐PD) formulation that naturally includes varying horizon sizes and completely solves the…”
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Data‐driven physics‐based digital twins via a library of component‐based reduced‐order models by Kapteyn, M.G., Knezevic, D.J., Huynh, D.B.P., Tran, M., Willcox, K.E.

“…Summary This work proposes an approach that combines a library of component‐based reduced‐order models with Bayesian state estimation in order to create…”
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CutFEM: Discretizing geometry and partial differential equations by Burman, Erik, Claus, Susanne, Hansbo, Peter, Larson, Mats G., Massing, André

“…Summary We discuss recent advances on robust unfitted finite element methods on cut meshes. These methods are designed to facilitate computations on complex…”
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Homogenization‐based topology optimization for high‐resolution manufacturable microstructures by Groen, Jeroen P., Sigmund, Ole

“…Summary This paper presents a projection method to obtain high‐resolution, manufacturable structures from efficient and coarse‐scale homogenization‐based…”
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Meshless physics‐informed deep learning method for three‐dimensional solid mechanics by Abueidda, Diab W., Lu, Qiyue, Koric, Seid

“…Deep learning (DL) and the collocation method are merged and used to solve partial differential equations (PDEs) describing structures' deformation. We have…”
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A mechanics‐informed artificial neural network approach in data‐driven constitutive modeling by As'ad, Faisal, Avery, Philip, Farhat, Charbel

“…A mechanics‐informed artificial neural network approach for learning constitutive laws governing complex, nonlinear, elastic materials from strain–stress data…”
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Data‐driven computing in dynamics by Kirchdoerfer, T., Ortiz, M.

“…Summary We formulate extensions to data‐riven computing for both distance‐minimizing and entropy‐maximizing schemes to incorporate time integration. Previous…”
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Undercut and overhang angle control in topology optimization: A density gradient based integral approach by Qian, Xiaoping

“…Summary We present an approach for controlling the undercut and the minimal overhang angle in density based topology optimization, which are useful for…”
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Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach by Zhao, Jia, Wang, Qi, Yang, Xiaofeng

“…Summary We present two accurate and efficient numerical schemes for a phase field dendritic crystal growth model, which is derived from the variation of a…”
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Computational homogenization of nonlinear elastic materials using neural networks by Le, B. A., Yvonnet, J., He, Q.-C.

“…Summary In this work, a decoupled computational homogenization method for nonlinear elastic materials is proposed using neural networks. In this method, the…”
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A Stochastic Simplex Approximate Gradient (StoSAG) for optimization under uncertainty by Fonseca, Rahul Rahul‐Mark, Chen, Bailian, Jansen, Jan Dirk, Reynolds, Albert

“…Summary We consider a technique to estimate an approximate gradient using an ensemble of randomly chosen control vectors, known as Ensemble Optimization…”
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Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations by Ballarin, Francesco, Manzoni, Andrea, Quarteroni, Alfio, Rozza, Gianluigi

“…SummaryIn this work, we present a stable proper orthogonal decomposition–Galerkin approximation for parametrized steady incompressible Navier–Stokes equations…”
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Global cracking elements: A novel tool for Galerkin‐based approaches simulating quasi‐brittle fracture by Zhang, Yiming, Mang, Herbert A.

“…Summary Following the so‐called cracking elements method (CEM), we propose a novel Galerkin‐based numerical approach for simulating quasi‐brittle fracture,…”
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Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations by Miehe, C., Welschinger, F., Hofacker, M.

“…The computational modeling of failure mechanisms in solids due to fracture based on sharp crack discontinuities suffers in situations with complex crack…”
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Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities by Geuzaine, Christophe, Remacle, Jean-François

“…Gmsh is an open‐source 3‐D finite element grid generator with a build‐in CAD engine and post‐processor. Its design goal is to provide a fast, light and…”
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Localizing gradient damage model with decreasing interactions by Poh, Leong Hien, Sun, Gang

“…Summary Nonlocal integral and/or gradient enhancements are widely used to resolve the mesh dependency issue with standard continuum damage models. However, it…”
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Topology optimization with multiple materials via moving morphable component (MMC) method by Zhang, Weisheng, Song, Junfu, Zhou, Jianhua, Du, Zongliang, Zhu, Yichao, Sun, Zhi, Guo, Xu

“…Summary With the fast development of additive manufacturing technology, topology optimization involving multiple materials has received ever increasing…”
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The extended/generalized finite element method: An overview of the method and its applications by Fries, Thomas-Peter, Belytschko, Ted

“…An overview of the extended/generalized finite element method (GEFM/XFEM) with emphasis on methodological issues is presented. This method enables the accurate…”
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Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models by Farhat, Charbel, Chapman, Todd, Avery, Philip

“…SummaryThe computational efficiency of a typical, projection‐based, nonlinear model reduction method hinges on the efficient approximation, for explicit…”
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Multiple‐GPU parallelization of three‐dimensional material point method based on single‐root complex by Dong, Youkou, Cui, Lan, Zhang, Xue

“…As one of the arbitrary Lagrangian–Eulerian methods, the material point method (MPM) owns intrinsic advantages in simulation of large deformation problems by…”
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