Cracks Interaction in a Pre-Stressed and Pre-Polarized Piezoelectric Material

Autor:	Subir Das, E-M. Craciun, A. Rabaea
Rok vydání:	2020
Předmět:	010101 applied mathematics 020303 mechanical engineering & transports Materials science 0203 mechanical engineering Applied Mathematics Mechanical Engineering 02 engineering and technology 0101 mathematics Composite material Condensed Matter Physics 01 natural sciences Piezoelectricity
Zdroj:	Journal of Mechanics. 36:177-182
ISSN:	1811-8216 1727-7191
DOI:	10.1017/jmech.2019.57
Popis:	We formulate and solve the mathematical problem for antiplane cracks in a pre-stressed and pre-polarized piezoelectric material with static initial fields, assuming the initially deformed configuration of the body is locally stable. Using the boundary conditions of antiplane cracks, we get the Riemann-Hilbert problems. Nonhomogeneous linear complex differential equations having the unknown complex potential are obtained. For constant value of the applied incremental forces can be obtained the complex potentials, incremental displacement and stress fields corresponding to the third mode of the classical fracture. The problem of interaction of two collinear, unequal cracks in a pre-stressed and pre-polarized piezoelectric material, is also studied.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::febc40a5ff5e07b61a73f642fa7a106c https://doi.org/10.1017/jmech.2019.57 Zobrazit plný text záznamu