Biaxial tension of a homogeneous isotropic plate with two equal coaxial cracks with regard for plastic zones near their tips |
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| Authors: | M M Nykolyshyn V K Opanasovych L R Kurotchyn M S Slobodyan |
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| Institution: | 1.Pidstryhach Institute for Applied Problems of Mechanics and Mathematics,Ukrainian National Academy of Sciences,Lviv,Ukraine;2.Franko Lviv National University,Lviv,Ukraine |
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| Abstract: | 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. |
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