THE UNITED POINT FORCE SOLUTION FOR BOTH ISOTROPIC AND TRANSVERSELY ISOTROPIC MEDIA

✍ Scribed by HAOJIANG, DING ;LIANGJIAN, ;CHENBUO,

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 143 KB
• Volume: 13
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199702)13:2<95::aid-cnm35>3.0.co;2-f

✦ Synopsis

This paper treats a united-form solution for a point force applied at the interior of an in®nite transversely isotropic solid. Several heuristic functions are adopted to obtain the expressions of the solution based on the general solution. To exclude some indeterminate attributes, the expressions are rewritten. In the ®nal expressions, unlike previous publications where the solutions are expressed in dierent forms, or when some individual constants have dierent de®nitions depending on the conditions satis®ed by the elastic constants, we provide united solutions which are suitable for all stable transversely isotropic materials and isotropic materials. Thus accurate numerical evaluation of the boundary element method can be performed directly without the need to resolve the singularity algebraically. Some numerical examples with BEM are also presented in this paper.