Contour integrals for 2D thermoelastic cracked bodies

被引:0
|
作者
Blackburn, WS
机构
[1] School of Computing and Mathematics, University of Teesside, Middlesbrough, Cleveland
关键词
boundary element method; thermoelastic contour integrals; fracture mechanics;
D O I
10.1016/0955-7997(95)00060-7
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The advantages are discussed of various methods of calculating stress intensity factors at the tips of cracks in two dimensional bodies under steady state thermoelastic loading using boundary element methods and contour integration. First, some path independent contour integrals for steady state thermoelastic problems are rederived in a shorter and more general manner. Domain integrals need not be evaluated either for steady state calculations or for small contours for transient calculations. Then, the superposition method for transient problems is considered. This requires integration on the crack faces, as well as around the crack tips. The resulting loss of accuracy is calculated for two simple cases.
引用
收藏
页码:47 / 51
页数:5
相关论文
共 50 条
  • [1] CONTOUR INVARIANTS IN THE THEORY OF FRACTURE OF THERMOELASTIC BODIES
    NIKOLAEVSKII, VN
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1983, 47 (03): : 428 - 431
  • [2] CONTOUR INTEGRALS FOR GRAVITY COMPUTATION OF HORIZONTAL 2-1/2-D BODIES WITH VARIABLE DENSITY
    KWOK, YK
    APPLIED MATHEMATICAL MODELLING, 1991, 15 (02) : 98 - 103
  • [3] Evaluation of J integrals and stress intensity factors in a 2D quadratic boundary contour method
    Chen, SY
    Tang, WX
    Zhou, SJ
    Leng, X
    Zheng, W
    COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1999, 15 (02): : 91 - 100
  • [4] PRODUCT INTEGRALS .2. CONTOUR INTEGRALS
    FRIEDMAN, CN
    DOLLARD, JD
    JOURNAL OF FUNCTIONAL ANALYSIS, 1978, 28 (03) : 355 - 368
  • [5] 2D Shape Matching by Contour Flexibility
    Xu, Chunjing
    Liu, Jianzhuang
    Tang, Xiaoou
    IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2009, 31 (01) : 180 - 186
  • [6] MODELS OF DYNAMIC CONTACT OF A 2D THERMOELASTIC BAR
    Shillor, Meir
    JOURNAL OF THEORETICAL AND APPLIED MECHANICS, 2020, 58 (02) : 295 - 305
  • [7] Exact solutions of integrable 2D, contour dynamics
    Alonso, LM
    Medina, E
    PHYSICS LETTERS B, 2005, 610 (3-4) : 277 - 282
  • [8] Computing Importance of 2D Contour Parts by Reconstructability
    Guo, Ge
    Wang, Yizhou
    Jiang, Tingting
    Yuille, Alan
    Gao, Wen
    2011 IEEE INTERNATIONAL CONFERENCE ON COMPUTER VISION WORKSHOPS (ICCV WORKSHOPS), 2011,
  • [9] 2D fragments stitching based on contour feature
    Chen H.-M.
    Zhang H.
    ICETC 2010 - 2010 2nd International Conference on Education Technology and Computer, 2010, 4 : V4239 - V4241
  • [10] Recognition of 2D shapes through contour metamorphosis
    Singh, R
    Pavlidis, I
    Papanikolopoulos, NP
    1997 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION - PROCEEDINGS, VOLS 1-4, 1997, : 1651 - 1656