Stress-strain measures used in the ANSYS package to solve elastoplastic problems at finite strains
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2017), pp. 31-36
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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.
@article{VMUMM_2017_5_a4,
author = {N. V. Ovchinnikova},
title = {Stress-strain measures used in the {ANSYS} package to solve elastoplastic problems at finite strains},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {31--36},
publisher = {mathdoc},
number = {5},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_5_a4/}
}
TY - JOUR AU - N. V. Ovchinnikova TI - Stress-strain measures used in the ANSYS package to solve elastoplastic problems at finite strains JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2017 SP - 31 EP - 36 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2017_5_a4/ LA - ru ID - VMUMM_2017_5_a4 ER -
%0 Journal Article %A N. V. Ovchinnikova %T Stress-strain measures used in the ANSYS package to solve elastoplastic problems at finite strains %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2017 %P 31-36 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2017_5_a4/ %G ru %F VMUMM_2017_5_a4
N. V. Ovchinnikova. Stress-strain measures used in the ANSYS package to solve elastoplastic problems at finite strains. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2017), pp. 31-36. http://geodesic.mathdoc.fr/item/VMUMM_2017_5_a4/