✦ LIBER ✦

A necessary and sufficient boundary integral formulation for plane elasticity problems

✍ Scribed by He, Wen-Jun ;Ding, Hao-Jiang ;Hu, Hai-Chang

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 550 KB
Volume: 12
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199607)12:7<413::aid-cnm988>3.0.co;2-2

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✦ Synopsis

With respect to a given boundary value problem, the corresponding conventional boundary integral equation is shown to yield non-equivalent solutions, which are dependent upon Poisson's ratio and geometry. In the paper a systematic method for establishing a necessary and sufficient boundary integral formulation has been proposed for two-dimensional elastostatic problems. Numerical analyses show that the conventional boundary integral equation yields incorrect results when the scale in the fundamental solution approaches a degenerate scale value. However, the results of the necessary and sufficient boundary integral equation are in good agreement with analytical solutions of the boundary value problem.

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