BEM Analysis for Stress Concentrations of Bending Problem of Anisotropic Plates Containing Two Elliptical Holes
Date Issued
2015
Date
2015
Author(s)
Tsai, Tsungyen
Abstract
This work uses a new boundary integral equation (BIE) and finite element method (FEM) to analyze an infinite anisotropic plate containing two elliptic/circular holes subjected to remote bending or twisting moments. The foundation of the boundary integral equation is the classical plate theory with Cauchy integral formula. The BIE is used to calculate the curvatures and moments on the boundaries directly. Numerical examples are given for orthotropic and isotropic plates with circular or elliptic holes under uniform bending and twisting moments. Comparison of the numerical results with the analytic solution for one hole shows that in general BIE can achieve higher accuracies in evaluating moments while BIEs and FEM have comparable accuracies for computing deflections.
Subjects
anisotropic elastic plates
boundary integral equation
finite element method
Stroh-like formalism
elliptical hole
stress concentrations
infinite plate
analytical solutions
Type
thesis
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