Eigenstrain boundary integral equations with local eshelby matrix for stress analysis of ellipsoidal particles
type: Item
instance of: scholarly article
title: Eigenstrain boundary integral equations with local eshelby matrix for stress analysis of ellipsoidal particles
zbMATH Open document ID: 1407.74007
DOI: 10.1155/2014/947205
author: Hang Ma
author: Cheng Yan
author: Qing H. Qin
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Aiming at the large scale numerical simulation of particle reinforced materials, the concept of local Eshelby matrix has been introduced into the computational model of the eigenstrain boundary integral equation (BIE) to solve the problem of interactions among particles. The local Eshelby matrix can be considered as an extension of the concepts of Eshelby tensor and the equivalent inclusion in numerical form. Taking the subdomain boundary element method as the control, three-dimensional stress analyses are carried out for some ellipsoidal particles in full space with the proposed computational model. Through the numerical examples, it is verified not only the correctness and feasibility but also the high efficiency of the present model with the corresponding solution procedure, showing the potential of solving the problem of large scale numerical simulation of particle reinforced materials.
Mathematics Subject Classification ID: 74A40
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 7017686
Wikidata QID: Q59071052
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/947205
OpenAlex ID: W1969411917
cites work: The determination of the elastic field of an ellipsoidal inclusion, and related problems
cites work: Eshelby tensors for a spherical inclusion in microelongated elastic fields
cites work: Validation of an interaction law for the Eshelby inclusion problem in elasto-viscoplasticity
cites work: An effective inclusion model for effective moduli of heterogeneous materials with ellipsoidal inhomogeneities.
cites work: Efficient solution of multiple cracks in great number using eigen COD boundary integral equations with iteration procedure
cites work: Numerical investigation of the stress field of particulate reinforced polymeric composites subjected to tension
cites work: Stress analysis of an unbounded elastic solid with orthotropic inclusions and voids using a new integral equation technique
cites work: A regularized domain integral formulation for inclusion problems of various shapes by equivalent inclusion method
cites work: A fast algorithm for particle simulations
cites work: A Fast Boundary Element Method for the Analysis of Fiber-Reinforced Composites Based on a Rigid-Inclusion Model
cites work: Eigenstrain formulation of boundary integral equations for modeling particle-reinforced composites
cites work: Computational model for short-fiber composites with eigenstrain formulation of boundary integral equations
cites work: Boundary integral equation method for two dissimilar elastic inclusions in an infinite plate
description: scientific article; zbMATH DE number 7017686