Dynamic Crack Analysis in Functionally Graded Piezoelectric Materials by a Time-Domain BEM

Abstract:

In this paper, static and dynamic crack analysis in two-dimensional functionally graded piezoelectric composites is presented. For this purpose, a time-domain boundary element method is developed. The collocation method is used for the spatial discretization of the time-domain boundary integral equations, while the convolution quadrature is adopted for temporal discretization. Since fundamental solutions for functionally graded piezoelectric materials are not available, a boundary-domain integral formulation is derived. The Laplace transformed fundamental solutions for homogeneous piezoelectric materials are applied. Special regularization techniques based on a suitable change of variables are used to deal with the singular boundary integrals. The radial integration method is adopted to compute the resulting domain integrals. Adjacent the crack-tips are square-root elements implemented to capture the local square-root-behaviour of the generalized crack-opening-displacements properly. An explicit time-stepping scheme is obtained to compute the unknown boundary data. Numerical examples will be presented to show the influences of the material gradation, poling direction and the transient dynamic loadings on the intensity factors.

• Periodical: Key Engineering Materials (Volume 713)
• Pages: 342-345
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.713.342
• Online since: September 2016
• Authors: Michael Wünsche*, Jan Sladek, Vladimir Sladek, Felipe García-Sánchez, Andrés Sáez
• Keywords: Dynamic Intensity Factor, Functionally Graded Piezoelectric Material, Impact Loading, Time-Domain BEM

References

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