A dimensional splitting method for the linearly elastic shell
Titel:
A dimensional splitting method for the linearly elastic shell
Auteur:
Li, Kaitai Shen, Xiaoqin
Verschenen in:
International journal of computer mathematics
Paginering:
Jaargang 84 (2007) nr. 6 pagina's 807-824
Jaar:
2007-06
Inhoud:
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 UKT(x, ξ) for the 3-D linearly elastic shell consists of [image omitted] , where u0, u1, u2 are independent of ξ. The leading term u0 satisfies a 2-D elliptic boundary value problem, and other terms u1, u2 will be derived using the algebraic expression for u0 without solving PDEs. We prove that the solution u0(x) exists and is unique, and give the error estimation for an elliptic membrane, which is smaller than the error with other models.
Tijdschrift beschrijving