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
相关论文
共 50 条
  • [1] On accurate numerical evaluation of stress intensity factors and T-stress in functionally graded materials
    Kim, JH
    Paulino, GH
    FUNCTIONALLY GRADED MATERIALS VIII, 2005, 492-493 : 403 - 407
  • [2] Determination of T-stress for thermal cracks in homogeneous and functionally graded materials with the numerical manifold method
    Zhang, H. H.
    Ji, X. L.
    Han, S. Y.
    Fan, L. F.
    THEORETICAL AND APPLIED FRACTURE MECHANICS, 2021, 113
  • [3] T-stress in orthotropic functionally graded materials: Lekhnitskii and Stroh formalisms
    Jeong-Ho Kim
    Glaucio H. Paulino
    International Journal of Fracture, 2004, 126 : 345 - 384
  • [4] T-stress in orthotropic functionally graded materials: Lekhnitskii and Stroh formalisms
    Kim, JH
    Paulino, GH
    INTERNATIONAL JOURNAL OF FRACTURE, 2004, 126 (04) : 345 - 384
  • [5] Evaluation of the T-stress for interacting cracks
    Chen, Y. Z.
    Wang, Z. X.
    Lin, X. Y.
    COMPUTATIONAL MATERIALS SCIENCE, 2009, 45 (02) : 349 - 357
  • [6] A generalized interaction integral method for the evaluation of the T-stress in orthotropic functionally graded materials under thermal loading
    Kim, Jeong-Ho
    Kc, Amit
    Journal of Applied Mechanics, Transactions ASME, 2008, 75 (05): : 051112 - 051112
  • [7] A generalized interaction integral method for the evaluation of the T-stress in orthotropic functionally graded materials under thermal loading
    Kim, Jeong-Ho
    Kc, Amit
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2008, 75 (05):
  • [8] Evaluation of T-stress for cracks in elastic sheets
    Su, RKL
    STRUCTURAL ENGINEERING AND MECHANICS, 2005, 20 (03) : 335 - 346
  • [9] A new approach to compute T-stress in functionally graded materials by means of the interaction integral method
    Paulino, GH
    Kim, JH
    ENGINEERING FRACTURE MECHANICS, 2004, 71 (13-14) : 1907 - 1950
  • [10] Cracks in functionally graded materials
    Bahr, HA
    Balke, H
    Fett, T
    Hofinger, I
    Kirchhoff, G
    Munz, D
    Neubrand, A
    Semenov, AS
    Weiss, HJ
    Yang, YY
    MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING, 2003, 362 (1-2): : 2 - 16
12345