Elastoplastic Equilibrium of a Composition Containing an Elastic High-Modulus Inclusion
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We pose and solve a two-dimensional model elastoplastic problem for a body containing a high-modulus elastic inclusion. Plasticity zones develop in the vicinity of the tips of the inclusion along its boundary. The problem is reduced to the solution of a singular integro-differential equation, which, in turn, is reduced to an infinite system of equations. The influence of the compliance of the inclusion on the sizes of the plasticity zones is analyzed.
KeywordsPlasticity Zone Infinite System Elastic Inclusion Elastoplastic Problem Elastoplastic Equilibrium
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