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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017 Number 5, Pages 31–36 (Mi vmumm92)

This article is cited in 2 papers

Mechanics

Stress-strain measures used in the ANSYS package to solve elastoplastic problems at finite strains

N. V. Ovchinnikova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: It is shown that the Dienes (or the Green–McInnis–Naghdi) stress rate is used as an objective stress rate of the Cauchy stress for solving elastic-plastic problems in the ANSYS program instead of the Jaumann stress rate announced in the ANSYS Theory Reference. The strain tensor is not the logarithmic or Hencky strain measure as is announced in the ANSYS Theory Reference, but it is a right nonholonomic strain tensor such that the left tensor is generated by the Dienes derivative.

Key words: elastoplastic body, finite strain, strain measures, stress measures, ANSYS program.

UDC: 539.3

Received: 12.09.2016


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2017, 72:5, 108–112

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