Static And Dynamic Fracture Analysis In
Thin Piezoelectric Laminas By The Boundary
Element Method
Author(s)
H. Y. Wang, J. Lei & C. H. Zhang
Abstract
A boundary element method (BEM) is developed to study the static and dynamic
fracture problems in a thin piezoelectric structure. The method uses quadrature
formula and the collocation method for the temporal and spatial discretization. A
quadratic quarter-point element is implemented at the crack tip. The strongly
singular and hypersingular integrals are evaluated by a regularization technique
based on a suitable variable change. The nearly singular integrals arisen in thin
structures are dealt with in two ways. One is based on a nonlinear coordinate
transformation for curve-quadratic element, and the other is based on an
analytical integration method for straight quadratic element. A displacement
extrapolation technique is used to determine the intensity factors (IFs) including
the stress intensity factors (SIFs) and electrical displacement intensity factor
(EDIF). Numerical examples are presented to verify the effectiveness and
stability of present BEM in a thin piezoelectric structure.
Keywords: thin piezoelectric structure, boundary element method, nearly
singular integration, stress intensity factors, electrical displacement intensity
factor.
Keywords
thin piezoelectric structure, boundary element method, nearly
singular integration, stress intensity factors, electrical displacement intensity
factor
Related Book
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