M- and Mc-Integrals for Multicracked Problems in Three Dimensions

被引：7

作者：

Chang, J. H. ^{[1
]}

Kang, Y. C. ^{[1
]}

Chung, L. G. ^{[1
]}

机构：

[1] Natl Cent Univ, Chungli 32001, Taiwan

来源：

JOURNAL OF ENGINEERING MECHANICS | 2013年 / 139卷 / 12期

关键词：

Multiple cracks; M-integral; M-c-integral; Three dimensions; Surface energy; Modified surface-independence; STRESS INTENSITY FACTORS; CONSERVATION-LAWS; CRACK; COMPUTATION; FORCE;

D O I：

10.1061/(ASCE)EM.1943-7889.0000605

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A problem-invariant Mc-integral is proposed as an energy parameter for describing the degradation of structural integrity caused by irreversible evolution of multiple cracks in three-dimensional (3D) elastic solids. The physical meaning for 3D Mc, which is related to the surface energy corresponding to creation of the cracks, does not hold in the same manner as that for two-dimensional (2D) Mc and needs to be properly reformulated. Also, the 3D integration is shown to be surface-independent in a modified sense. With this property, by choosing a closed surface remote from the crack fronts, the 3D Mc can then be accurately evaluated with finite-element (FE) solutions even when the near-front areas are not simulated with very fine grids. (C) 2013 American Society of Civil Engineers.

引用

页码：1874 / 1880

页数：7

共 20 条

[1]

BUDIANSKY B, 1973, J APPL MECH-T ASME, V40, P201, DOI 10.1115/1.3422926

[2] Evaluation of M-integral for anisotropic elastic media with multiple defects [J].