エレメントフリーTrefftz法の二次元弾性問題解析と形状感度解析への応用

抄録

This paper presents an application of the element free Trefftz method to the two-dimensional elastic problem and its shape design sensitivity analysis. The element-free Trefftz method is known as a boundary type solution procedure using the regular T-complete functions. Since the physical quantitles are represented by regular expressions, direct differentiation of the expressions with respect to shape parameters leads to the regular expressions of shape sensitivities. The present method is applied to the relatively simple examples in order to confirm its validity.