A New Boundary Integral Equation Formulation for Bending Problems of Anisotropic Plates
Date Issued
2014
Date
2014
Author(s)
Hsiao, Pei-Hsu
Abstract
A new boundary integral formulation for the numerical solution of bending problems of anisotropic plates is proposed in this work. The formulation is based on a Stroh-like formalism developed for the classical plate theory. In contrast to the conventional formulation, which is derived from Betti’s reciprocal work theorem with appropriate Green’s functions, the proposed formulation makes use of Cauchy’s integral theorem.
An advantage of the new formulation is that it provides dual sets of boundary integral equations, which are linearly dependent. With the dual sets, the integral equations to be solved can always be cast into the form of well-posed Fredholm integral equations of the second type regardless of the types of boundary conditions. Another advantage is that all stress or moment components can be obtained directly without additional numerical differentiations. Numerical examples are given to demonstrate the effectiveness and efficiency of the proposed boundary integral formulation.
Subjects
邊界積分法
異向彈性板
板理論
對稱性
史磋法
Type
thesis
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