On the solution of the displacement boundary-value problem for elastic-inelastic materials
Applications of Mathematics, Tome 19 (1974) no. 2, pp. 61-71
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The system of equations which describe the model with the so-called internal state variables in continuum mechanics is studied. A theorem asserting the existence and uniqueness of a solution of the displacement boundary-value problem is proved by combining the theory of monotone operators and the Banach contraction principle.
@article{10_21136_AM_1974_103515,
author = {John, Old\v{r}ich},
title = {On the solution of the displacement boundary-value problem for elastic-inelastic materials},
journal = {Applications of Mathematics},
pages = {61--71},
publisher = {mathdoc},
volume = {19},
number = {2},
year = {1974},
doi = {10.21136/AM.1974.103515},
mrnumber = {0347200},
zbl = {0286.73003},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1974.103515/}
}
TY - JOUR AU - John, Oldřich TI - On the solution of the displacement boundary-value problem for elastic-inelastic materials JO - Applications of Mathematics PY - 1974 SP - 61 EP - 71 VL - 19 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1974.103515/ DO - 10.21136/AM.1974.103515 LA - en ID - 10_21136_AM_1974_103515 ER -
%0 Journal Article %A John, Oldřich %T On the solution of the displacement boundary-value problem for elastic-inelastic materials %J Applications of Mathematics %D 1974 %P 61-71 %V 19 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1974.103515/ %R 10.21136/AM.1974.103515 %G en %F 10_21136_AM_1974_103515
John, Oldřich. On the solution of the displacement boundary-value problem for elastic-inelastic materials. Applications of Mathematics, Tome 19 (1974) no. 2, pp. 61-71. doi: 10.21136/AM.1974.103515
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