Fracture Mechanics Analysis for Bending Problems of Anisotropic Plates with Cracks
Date Issued
2015
Date
2015
Author(s)
Lee, Yu-Yun
Abstract
A new integral equation method is developed in this paper for the analysis of two-dimensional general anisotropic cracked elastic plates under bending. Integral equation are constructed by considering cracks as continuous distributions of disclination. Using Gauss-Chebyshev integration formulas, the integral equations can be transformed into the form of algebraic equations, with which the disclination densities and the stress intensity factors associated with each crack tip can be computed. An advantage of the method is that we can get the stress intensity factors regardless of the boundary conditions and material parameters. Another advantage is that accurate results may be obtained with relatively few integration points. Numerical examples are provided for isotropic or orthotropic plates with a single line or arc crack, double line cracks, multiple line cracks, under uniform bending, twisting moments or shearing force. The some results are compared with those in the literature whenever possible to verify their accuracy.
Subjects
boundary integral equations
cracks
anisotropic plates
Stroh-like formalism
Type
thesis
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