Dynamic Crack Analysis in Functionally Graded Piezoelectric Solids by Meshless Local Petrov-Galerkin Method |
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| Journal | Key Engineering Materials (Volumes 348 - 349) |
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| Volume | Advances in Fracture and Damage Mechanics VI |
| Edited by | J. Alfaiate, M.H. Aliabadi, M. Guagliano and L. Susmel |
| Pages | 149-152 |
| DOI | 10.4028/www.scientific.net/KEM.348-349.149 |
| Citation | Jan Sladek et al., 2007, Key Engineering Materials, 348-349, 149 |
| Online since | September, 2007 |
| Authors | Jan Sladek, Vladimir Sladek, Chuan Zeng Zhang |
| Keywords | 2-d Problems, Continuously Nonhomogeneous Body, Laplace-Transcorm, Meshless Approximation, Piezoelectricity, Stehfest's Inversion, Stress Intensity Factor (SIF), Transient Elastodynamics |
| Abstract | In the present paper, the meshless local Petrov-Galerkin (MLPG) method is extended to two-dimensional (2-D) continuously nonhomogeneous piezoelectric solids with cracks under dynamic loading conditions. To eliminate the time-dependence, the Laplace-transform technique is applied to the governing partial differential equations which are satisfied in the Laplace-transformed domain in a weak-form on small fictitious subdomains. A meshless approximation is used for spatial variations of the displacements and the electric potential. |
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