Journal ArticleDOI
Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi Cell finite element method
Somnath Ghosh,Suresh Moorthy +1 more
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TLDR
In this article, a Voronoi cell finite element method is developed to solve small deformation elastic-plasticity problems for arbitrary heterogenous materials, which is based on Dirichlet Tessellation of microstructural representative materials.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1995-03-01. It has received 240 citations till now. The article focuses on the topics: Centroidal Voronoi tessellation & Voronoi diagram.read more
Citations
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Determination of the size of the representative volume element for random composites: statistical and numerical approach
TL;DR: In this article, a quantitative definition of the representative volume element (RVE) size is proposed, which can be associated with a given precision of the estimation of the overall property and the number of realizations of a given volume V of microstructure that one is able to consider.
Journal ArticleDOI
Simulation of the multi-scale convergence in computational homogenization approaches
TL;DR: In this article, the convergence of the macroscopic field variables on the selected size of unit cells is studied quantitatively via the computational homogenization method, and the convergence nature of microscopic stress values is quantitatively through the computation homogenisation method.
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Multiscale Methods for Composites: A Review
TL;DR: In this article, a review of multiscale methods for modeling mechanical and thermomechanical responses of composites is presented, both at the material level and at the structural analysis level.
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Fracture analyses using spring networks with random geometry
John E. Bolander,Saito Shinya +1 more
TL;DR: In this paper, a method for rendering ordinary beam-spring networks elastically uniform is also given for predicting brittle fracture in homogeneous, isotropic materials, based on Voronoi diagrams with random geometry.
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A class of general algorithms for multi-scale analyses of heterogeneous media
Kenjiro Terada,Noboru Kikuchi +1 more
TL;DR: In this article, a two-scale modeling scheme for the analysis of heterogeneous media with fine periodic microstructures is generalized by using relevant variational statements, which can be unified in association with the homogenization procedure for general nonlinear problems.
References
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Journal ArticleDOI
Elastic-plastic behaviour of polycrystalline metals and composites
TL;DR: Stress-strain curves of polycrystalline metals and composites using single crystal elastoplastic model as discussed by the authors were used to model the stress curve of composites.
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Derivation of element stiffness matrices by assumed stress distributions
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An experimental and numerical study of deformation in metal-ceramic composites
TL;DR: In this article, the deformation characteristics of ceramic whisker- and particulate-reinforced metal-matrix composites were studied experimentally and numerically with the objective of investigating the dependence of tensile properties on the matrix microstructure and on the size, shape, and distribution of the reinforcement phase.
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A critical evaluation for a class of micro-mechanics models
TL;DR: In this article, the effective properties of composite materials composed of a continuous matrix phase containing a highly concentrated suspension of rigid spherical inclusions are derived for different theoretical micro-mechanics models.
Journal ArticleDOI
A return mapping algorithm for plane stress elastoplasticity
Juan C. Simo,R.L. Taylor +1 more
TL;DR: In this paper, an unconditionally stable algorithm for plane stress elastoplasticity is developed, based upon the notion of elastic predictor-return mapping (plastic corrector). Enforcement of the consistency condition is shown to reduce to the solution of a simple nonlinear equation.
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