Thermoelctroelastic Response of a Symmetric Functionally Graded Piezoelectric Slab with a Crack Parallel to the Boundaries

Autor:	Sei Ueda, Toshiaki Takaki
Rok vydání:	2006
Předmět:	Thermal shock Materials science Laplace transform Mechanical Engineering Mathematical analysis Geometry Fracture mechanics Singular integral Integral transform symbols.namesake Fourier transform Mechanics of Materials Slab symbols General Materials Science Stress intensity factor
Zdroj:	TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A. 72:1177-1184
ISSN:	1884-8338 0387-5008
DOI:	10.1299/kikaia.72.1177
Popis:	In this study, the theoretical analysis of a transient piezothermoelastic problem is developed for a symmetrical functionally graded piezoelectric slab containing a center crack parallel to the free boundaries under thermal shock loading conditions. It is assumed that initially the medium is at the uniform temperature and is suddenly subjected to a uniform temperature rise along the traction-free boundaries. The crack faces are supposed to be insulated thermally and electrically. By using both the Laplace transform and the Fourier transform, the thermal and electromechanical problems are reduced to singular integral equations, respectively. The singular integral equations are solved by using the Gauss-Jacobi integration formula. Numerical methods are then employed to obtain the time dependent solutions by way of a Laplace inversion technique. The dynamic stress intensity factors, temperature change and stress distributions versus time are presented for various values of deimensionless parameters representing the crack size and the material nonhomogeneity.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bb995f759ac0f1ffae72e97d88b95492 https://doi.org/10.1299/kikaia.72.1177 Zobrazit plný text záznamu