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
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Book ChapterDOI
Multi-Scale Analysis of Heterogeneous Materials: Hierarchical Concurrent Multi-Level Models
Journal ArticleDOI
Shape-free arbitrary polygonal hybrid stress/displacement-function flat shell element for linear and geometrically nonlinear analyses
Journal Article
A New Stress Criterion for Hot-Tearing Evaluation in Solidifying Casting
TL;DR: In this article, a new criterion for hot-tearing evaluation in castings is proposed, based on the low recurrence of phenomena occurring during solidification (e.g., grained structure parameters, stresses distribution).
Journal ArticleDOI
A multiphase hybrid-stress finite element method for macroscopic and microscopic modeling of composites: an element with multiple interfaces
TL;DR: A multiphase hybrid-stress finite element method (MHSFEM) for microscopic modeling of randomly dispersed closer microstructures and macroscopic modeling of layered structures include adhesive layer of laminated composites is proposed in this paper .
References
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Journal ArticleDOI
The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems
TL;DR: In this paper, it is shown that to answer several questions of physical or engineering interest, it is necessary to know only the relatively simple elastic field inside the ellipsoid.
Journal ArticleDOI
A variational approach to the theory of the elastic behaviour of multiphase materials
Zvi Hashin,S. Shtrikman +1 more
TL;DR: In this paper, the authors derived upper and lower bounds for the effective elastic moduli of quasi-isotropic and quasi-homogeneous multiphase materials of arbitrary phase geometry.
Book
Micromechanics of defects in solids
Toshio Mura,D. M. Barnett +1 more
TL;DR: In this paper, the authors present numerical simulation of intergranular and transgranular crack propagation in ferroelectric polycrystals using double kink mechanisms for discrete dislocations in BCCs.
Journal ArticleDOI
A self-consistent mechanics of composite materials
TL;DR: In this article, the elastic moduli of two-phase composites are estimated by a method that takes account of the inhomogeneity of stress and strain in a way similar to the Hershey-Kroner theory of crystalline aggregates.
Book
Micromechanics: Overall Properties of Heterogeneous Materials
TL;DR: In this paper, the authors introduce basic elements of elasticity theory: foundations geometric foundations, kinematic foundations, dynamic foundations, constitutive relations elastostatic problems of linear elasticity boundary value problems and extremum principles three-dimensional problems solution of singular problems.
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