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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2013 Volume 16, Number 2, Pages 122–129 (Mi sjim785)

This article is cited in 2 papers

The automodel problem of the dynamic unloading of an elasticplastic half-space

A. A. Mansyboraab, M. M. Rusanovba

a Institute of Automation and Control Processes FEB RAS, 5 Radio st., 690041 Vladivostok, Russia
b Far Eastern Federal University, 8 Sukhanov st., 690950 Vladivostok, Russia

Abstract: We give a solution to a planar automodel problem of multistep high-speed unloading from the boundary of an elasticplastic half-space with a considerable level of accumulated irreversible deformations. Uniqueness in the totality of the arising unload waves (simple or shock waves) is based on the thermodynamics laws and the evolution conditions for propagating deformation discontinuities.

Keywords: elasticplastic, shock waves, Riemann waves, automodel problems.

UDC: 539.374

Received: 10.01.2013



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