Multi-parameter description of the crack-tip stress field: Analytic determination of coefficients of crack-tip stress expansions in the vicinity of the crack tips of two finite cracks in an infinite plane medium

被引：22

作者：

Stepanova, Larisa ^{[1
]}

Roslyakov, Pavel ^{[1
]}

机构：

[1] Samara State Univ, Dept Math Modelling Mech, Akad Pavlov Str 1, Samara 443011, Russia

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2016年 / 100卷

关键词：

Rupture; Fracture mechanics; Asymptotic analysis; Multiparametric presentation of the stress field near the crack tip; Williams series expansion; HIGHER-ORDER TERMS; FATIGUE-CRACK; ACCURATE DETERMINATION; FRACTURE-MECHANICS; WILLIAMS EXPANSION; ASYMPTOTIC FIELD; STRAIN STATE; T-STRESS; MODE-I; ELEMENT;

D O I：

10.1016/j.ijsolstr.2016.06.032

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The study is aimed at analytical determination of coefficients in crack tip stress expansions for two collinear finite cracks of equal lengths in an infinite plane medium. The study is based on the solutions of the complex variable theory in plane elasticity theory. Multiparametric presentation of the stress field near the crack tips in the infinite plate with two collinear cracks of finite lengths is obtained and analyzed for a full range of mixed mode loading from pure tension to pure shear. The method of analytical determination of coefficients of the complete asymptotic expansion of the stress field near the crack tip is presented. The influence of consideration of various numbers of terms of the series expansion on the stress distribution is discussed, and the significance of the multi-parameter fracture mechanics approach is emphasized. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：11 / 28

页数：18

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