Discrete-continuum model of symmetric separation of a material |
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Authors: | V V Glagolev A A Markin T A Mertsalova |
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Institution: | (1) Tula State University, Tula, 300600, Russia |
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Abstract: | A problem of the beginning of motion of a finite-width cut in a linearly elastic plane under the action of symmetric external
loading is formulated. The material on the way of cut propagation forms a layer (interaction layer). The stress-strain state
of the material is postulated to be homogeneous across this layer. A system of integral boundary equations is obtained for
determining the stress-strain state. Based on this system of equations, a discrete model of separation of the layer material
is constructed under the assumption of a constant stress-strain state in an element of the interaction layer. The stress distribution
in the pre-fracture zone is determined.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 1, pp. 134–140, January–February, 2009. |
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Keywords: | characteristic size integral boundary equation linear elasticity |
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