Biaxial tension of a homogeneous isotropic plate with two equal coaxial cracks with regard for plastic zones near their tips

Autor:	M. S. Slobodyan, Viktor Opanasovych, M. M. Nykolyshyn, L. R. Kurotchyn
Rok vydání:	2010
Předmět:	Statistics and Probability Field (physics) Applied Mathematics General Mathematics Numerical analysis Isotropy Crack tip opening displacement Geometry Physics::Classical Physics Physics::Geophysics Condensed Matter::Materials Science Homogeneous Biaxial tension Bounded function Coaxial Mathematics
Zdroj:	Journal of Mathematical Sciences. 168:643-652
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-010-0015-x
Popis:	We investigate the problem of determination of the stress-strain state of an isotropic plate with two equal cracks at a set homogeneous field of forces at infinity. It is assumed that the lips of the cracks are free of load and that, near their tips, plastic zones are formed. Using Kolosov-Muskhelishvili complex potentials, we seek a solution of the problem in the class of functions bounded at the tips of the cracks and reduce it to problems of linear conjugation. Relations for the determination of the values of plastic zones and crack tip opening displacements are obtained. We perform a numerical analysis of the problem and construct graphs of dependences of the lengths of plastic zones and crack tip opening displacements on the distance between the centers of the cracks.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a33e0b4e24a56cb74f9345314db9374c https://doi.org/10.1007/s10958-010-0015-x Zobrazit plný text záznamu Plný text ve formátu PDF