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摘要
In this paper, we split the 3-D linearly elastic shell problem into a 2-D problem by using the approach of formal asymptotic expansion. The approximate solution U-KT(x,xi) for the 3-D linearly elastic shell consists of Sigma(2)(i=0) u(i)(x)xi i, where u(0), u(1), u(2) are independent of.. The leading term u(0) satisfies a 2-D elliptic boundary value problem, and other terms u(1), u(2) will be derived using the algebraic expression for u(0) without solving PDEs. We prove that the solution u(0)(x) exists and is unique, and give the error estimation for an elliptic membrane, which is smaller than the error with other models.
- 出版日期2007
- 单位西安交通大学
