A STUDY ON THE QUASI-CONTINUUM APPROXIMATIONS OF A ONE-DIMENSIONAL FRACTURE MODEL

被引：3

作者：

Li, Xiantao ^{[1
]}

Ming, Pingbing ^{[2
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China

来源：

MULTISCALE MODELING & SIMULATION | 2014年 / 12卷 / 03期

关键词：

quasi-continuum methods; bifurcation analysis; ghost force; lattice fracture model; STABILITY;

D O I：

10.1137/130939547

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study three quasi-continuum approximations of a lattice model for crack propagation. The influence of the approximation on the bifurcation patterns is investigated. The estimate of the modeling error is applicable to near and beyond bifurcation points, which enables us to evaluate the approximation over a finite range of loading and multiple mechanical equilibria.

引用

页码：1379 / 1400

页数：22

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