Evaluation of the T-stress for cracks in functionally graded materials by the FEM

被引：14
|
作者：
Sladek, J. [1 ]
Sladek, V. [1 ]
Repka, M. [1 ]
Tan, C. L. [2 ]
机构：
[1] Slovak Acad Sci, Inst Construct & Architecture, Bratislava 84503, Slovakia
[2] Carleton Univ, Dept Mech & Aerosp Engn, Ottawa, ON, Canada
来源：
THEORETICAL AND APPLIED FRACTURE MECHANICS | 2016年 / 86卷
关键词：
INTENSITY FACTORS; FRACTURE; BOUNDARY; TERM; COMPUTATION;
D O I：
10.1016/j.tafmec.2016.09.004
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Using the quarter-point crack tip element, a simple formula is derived which provides a quick and expedient means to evaluate the elastic T-stress in the finite element method (FEM) fracture mechanics analysis of functionally graded materials (FGMs). The formula is derived by comparing the variation of displacements in the quarter-point element with the corresponding asymptotic expression for the displacement field in the vicinity of a crack-tip. The asymptotic fields in the crack-tip vicinity in a FGM with continuously varying material properties are the same as in a homogeneous one. The simplicity of the use of this formula for T-stress evaluation in FEM fracture mechanics analysis is demonstrated by its application to some transient elastodynamic and thermoelastic problems. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：332 / 341
页数：10
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