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Models of strain and separation process

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Abstract

We consider models of strain and separation processes of rigid bodies, which are based on the use of the well-known scheme of mathematical cut [1, 2] and the concept of interaction layer developed in [3, 4].

We obtain a thermomechanical condition for the separation of a deformable body in the framework of physical and mathematical cut models. This condition allows us to obtain the general expression for the surface energy as the product of the interaction layer thickness by the critical free energy, which holds for the reversible (elastic) and irreversibly deformable materials. When using the mathematical cut model in an elastic body, the expressions of the surface energy is reduced to the classical Irwin-Orowan representation [1, 5].

On the basis of semidiscrete and discrete models of the interaction layer, we state the problem of determining the subcritical state of a plane loaded by a physical cut under symmetric loading by lumped forces and an end load. We compare the results obtained by the discrete model with the asymptotic solution obtained in [6] in a specific case.

It follows from the proposed fracture criterion that an increase in the end loadmay result in the critical state attained at a certain distance from the end surface. This effect was observed in the experiment described in the monograph [7].

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  1. Tula State University, pr-t Lenina 92, Tula, 300600, Russia

    V. V. Glagolev & A. A. Markin

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  1. V. V. Glagolev
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  2. A. A. Markin
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Correspondence to V. V. Glagolev.

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Original Russian Text © V.V. Glagolev, A.A. Markin, 2010, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2010, No. 2, pp. 148–157.

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Glagolev, V.V., Markin, A.A. Models of strain and separation process. Mech. Solids 45, 275–283 (2010). https://doi.org/10.3103/S0025654410020135

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