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Related papers: RVE Analysis in LS-DYNA for High-fidelity Multisca…

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Acknowledging the ever-increasing demand for composites in the engineering industry, this paper focuses on the failure of composites at the microscale and augmenting the use of multiscale modelling techniques to make them better for various…

Computational Engineering, Finance, and Science · Computer Science 2025-08-14 Hari Sankar R , Harpreet Singh

The simulation of a short fibre reinforced structure by means of the FEM requires the knowledge of the material behaviour at every Gauss point. In order to obtain such information, a representative volume element (RVE) containing…

Materials Science · Physics 2014-08-21 N. Goldberg , H. Donner , J. Ihlemann

The concept of representative volume element or RVE is invoked to develop an algorithm for numerical homogenization of fluid filled porous solids. RVE based methods decouple analysis of a composite material into analyses at the local and…

Computational Engineering, Finance, and Science · Computer Science 2021-07-29 Saumik Dana , Mary F Wheeler

A representative volume element (RVE) is a reasonably small unit of microstructure that can be simulated to obtain the same effective properties as the entire microstructure sample. Finite element (FE) simulation of RVEs, as opposed to much…

Computational Engineering, Finance, and Science · Computer Science 2024-04-24 Wei Liu , Satyajit Mojumder , Wing Kam Liu , Wei Chen , Daniel W. Apley

In this paper we describe efficient methods of generation of representative volume elements (RVEs) suitable for producing the samples for analysis of effective properties of composite materials via and for stochastic homogenization. We are…

Numerical Analysis · Mathematics 2014-11-18 Vladimir Salnikov , Daniel Choi , Philippe Karamian-Surville

In this paper, a new data-driven multiscale material modeling method, which we refer to as deep material network, is developed based on mechanistic homogenization theory of representative volume element (RVE) and advanced machine learning…

Computational Engineering, Finance, and Science · Computer Science 2019-01-04 Zeliang Liu , C. T. Wu , M. Koishi

In this paper we study the effective thermal behaviour of 3D representative volume elements (RVEs) of two-phased composite materials constituted by a matrix with cylindrical and spherical inclusions distributed randomly, with periodic…

Computational Engineering, Finance, and Science · Computer Science 2016-02-26 Sophie Lemaitre , Vladimir Salnikov , Daniel Choi , Philippe Karamian-Surville

In this thesis, a computational framework for microstructural modelling of transverse behaviour of heterogeneous materials is presented. The context of this research is part of the broad and active field of Computational Micromechanics,…

Computational Engineering, Finance, and Science · Computer Science 2021-10-05 Marco Lo Cascio

The multiscale simulation of heterogeneous materials is a popular and important subject in solid mechanics and materials science due to the wide application of composite materials. However, the classical FE2 (finite element2) scheme can be…

Computational Engineering, Finance, and Science · Computer Science 2020-09-09 Yangyuanchen Liu , Kexin Weng , Yongxing Shen

This paper presents two approaches: the virtual element method (VEM) and the stabilization-free virtual element method (SFVEM) for analyzing thermomechanical behavior in electronic packaging structures with geometric multi-scale features.…

Numerical Analysis · Mathematics 2025-12-29 Yanpeng Gong , Sishuai Li , Fei Qin , Bingbing Xu

Owing to additive manufacturing techniques, a structure at millimeter length scale (macroscale) can be produced by using a lattice substructure at micrometer length scale (microscale). Such a system is called a metamaterial at the…

Computational Engineering, Finance, and Science · Computer Science 2019-11-25 H. Yang , B. E. Abali , W. H. Müller , D. Timofeev

Recently, several approaches for multiscale simulations for problems with high contrast and no scale separation are introduced. Among them is the nonlocal multicontinua (NLMC) method, which introduces multiple macroscopic variables in each…

Numerical Analysis · Mathematics 2020-01-23 Eric T. Chung , Y. Efendiev , Wing T. Leung , ans M. Vasilyeva

This paper presents a new adaptive multiscale homogenization scheme for the simulation of damage and fracture in concrete structures. A two-scale homogenization method, coupling meso-scale discrete particle models to macro- scale finite…

Computational Engineering, Finance, and Science · Computer Science 2017-02-03 Roozbeh Rezakhani , Xinwei Zhou , Gianluca Cusatis

The mechanical property enhancement of polymer reinforced with nano-thin clay platelets (of high aspect ratio) is associated with a high polymer-filler interfacial area per unit volume. The ideal case of fully separated (exfoliated)…

Materials Science · Physics 2012-02-08 Paul E Spencer , John Sweeney

We study the Representative Volume Element (RVE) method, which is a method to approximately infer the effective behavior $a_{\text{hom}}$ of a stationary random medium. The latter is described by a coefficient field $a(x)$ generated from a…

Analysis of PDEs · Mathematics 2022-05-31 Nicolas Clozeau , Marc Josien , Felix Otto , Qiang Xu

Meta-regression models are commonly used to synthesize and compare effect sizes. Unfortunately, traditional meta-regression methods are ill-equipped to handle the complex and often unknown correlations among non-independent effect sizes.…

Methodology · Statistics 2015-03-10 Zachary Fisher , Elizabeth Tipton

A static peridynamic (proposed by Silling, see J. Mech. Phys. Solids 2000; 48:175--209) composite materials (CMs) of the random and periodic structures are considered. In the framework of the second background of micromechanics (also called…

Materials Science · Physics 2024-12-13 Valeriy A. Buryachenko

We describe the numerical scheme for the discretization and solution of 2D elliptic equations with strongly varying piecewise constant coefficients arising in the stochastic homogenization of multiscale composite materials. An efficient…

Numerical Analysis · Mathematics 2019-04-01 Venera Khoromskaia , Boris N. Khoromskij , Felix Otto

In our previous papers we have described efficient and reliable methods of generation of representative volume elements (RVE) perfectly suitable for analysis of composite materials via stochastic homogenization. In this paper we profit from…

Computational Engineering, Finance, and Science · Computer Science 2015-04-10 Vladimir Salnikov , Sophie Lemaitre , Daniel Choï , Philippe Karamian-Surville

We study the large-scale behavior of a small-strain lattice model for a network composed of elastoplastic springs with random material properties. We formulate the model as an evolutionary rate independent system (ERIS). In an earlier work…

Numerical Analysis · Mathematics 2022-09-27 Sabine Haberland , Patrick Jaap , Stefan Neukamm , Oliver Sander , Mario Varga
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