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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

In modern engineering designs, advanced materials (e.g., fiber/particle-reinforced polymers, metallic alloys, laminar composites, etc.) are widely used, where microscale heterogeneities such as grains, inclusions, voids, micro-cracks, and…

Computational Engineering, Finance, and Science · Computer Science 2022-10-24 Haoyan Wei , Dandan Lyu , Wei Hu , C. T. Wu

The concepts of representative volume element (RVE), statistical homogeneity and homogeneous boundary conditions are invoked to arrive at bounds on effective moduli for heterogeneous anisotropic poroelastic solids. The homogeneous…

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

A novel finite element method (FEM) is developed to study mechanical response of axons embedded in extra cellular matrix (ECM) when subjected to harmonic uniaxial stretch under purely non-affine kinematic boundary conditions. The proposed…

Biological Physics · Physics 2022-05-06 Mohit Agarwal , Assimina A. Pelegri

A three-dimensional multi-scale computational homogenisation framework is developed for the prediction of nonlinear micro/meso-mechanical response of the fibre-reinforced polymer (FRP) composites. Two dominant damage mechanisms, i.e. matrix…

Computational Engineering, Finance, and Science · Computer Science 2016-10-18 Zahur Ullah , Lukasz Kaczmarczyk , Chris J. Pearce

Mesoscale simulations of discrete defects in metals provide an ideal framework to investigate the micro-scale mechanisms governing the plastic deformation under high thermal and mechanical loading conditions. To bridge size and time-scale…

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

This work studies the approximation of plane problems concerning transversely isotropic elasticity, using a low-order Virtual Element Method (VEM), with a focus on near-incompressibility and near-inextensibility. Additionally, both…

Numerical Analysis · Mathematics 2019-03-06 D. van Huyssteen , B. D. Reddy

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 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

Stress concentration due to flaws in any material are very dangerous. Its understanding is thus very important before practical application of the material. As Fiber Reinforced Composite (FRC) is gaining wide range of application it is…

Applied Physics · Physics 2022-09-20 A. V. Sirsat , S. S Padhee

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

Fiber-reinforced soft biological tissues are typically modeled as hyperelastic, anisotropic, and nearly incompressible materials. To enforce incompressibility a multiplicative split of the deformation gradient into a volumetric and an…

Numerical Analysis · Mathematics 2022-04-13 Elias Karabelas , Matthias A. F. Gsell , Gundolf Haase , Gernot Plank , Christoph M. Augustin

A coupled hygro-thermo-mechanical computational model is proposed for fibre reinforced polymers, formulated within the framework of Computational Homogenisation (CH). At each macrostructure Gauss point, constitutive matrices for thermal,…

Computational Engineering, Finance, and Science · Computer Science 2016-10-14 Zahur Ullah , Lukasz Kaczmarczyk , Sotirios Grammatikos , Mark Evernden , Chris Pearce

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 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

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

The combination of Finite Element Method (FEM) simulation and experimental photo-elasticity provides both qualitative and quantitative information about the stress field in a polymer composite and particularly along the fibre-matrix…

Materials Science · Physics 2007-05-23 H. Matthias Deuschle , Falk K. Wittel , Henry Gerhard , Gerhard Busse , Bernd-H. Kroeplin

This work presents a study on the computational homogenization of electro-magneto-mechanically coupled problems through the Virtual Element Method (VEM). VE-approaches have great potential for the homogenization of the physical properties…

Computational Engineering, Finance, and Science · Computer Science 2021-04-07 Christoph Böhm , Blaž Hudobivnik , Michele Marino , Peter Wriggers

Advances in three-dimensional imaging provide the ability to construct and analyze finite element (FE) models to evaluate the biomechanical behavior and function of atrioventricular valves. However, while obtaining patient-specific valve…

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