A finite element analysis for elastoplastic bodies obeying Hencky's law
Applications of Mathematics, Tome 26 (1981) no. 6, pp. 449-461.
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Using the Haar-Kármán principle, approximate solutions of the basic boundary value problems are proposed and studied, which consist of piecewise linear stress fields on composite triangles. The torsion problem is solved in an analogous manner. Some convergence results are proven.
DOI :
10.21136/AM.1981.103935
Classification :
46E35, 49J40, 49M15, 49S05, 65N30, 73E99, 73K25, 74G30, 74H25, 74S05
Mots-clés : Haar-Kármán principle; basic boundary value problems; piecewise linear stress fields; composite triangles; torsion problem
Mots-clés : Haar-Kármán principle; basic boundary value problems; piecewise linear stress fields; composite triangles; torsion problem
@article{10_21136_AM_1981_103935, author = {Hlav\'a\v{c}ek, Ivan}, title = {A finite element analysis for elastoplastic bodies obeying {Hencky's} law}, journal = {Applications of Mathematics}, pages = {449--461}, publisher = {mathdoc}, volume = {26}, number = {6}, year = {1981}, doi = {10.21136/AM.1981.103935}, mrnumber = {0634282}, zbl = {0467.73096}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103935/} }
TY - JOUR AU - Hlaváček, Ivan TI - A finite element analysis for elastoplastic bodies obeying Hencky's law JO - Applications of Mathematics PY - 1981 SP - 449 EP - 461 VL - 26 IS - 6 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103935/ DO - 10.21136/AM.1981.103935 LA - en ID - 10_21136_AM_1981_103935 ER -
%0 Journal Article %A Hlaváček, Ivan %T A finite element analysis for elastoplastic bodies obeying Hencky's law %J Applications of Mathematics %D 1981 %P 449-461 %V 26 %N 6 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103935/ %R 10.21136/AM.1981.103935 %G en %F 10_21136_AM_1981_103935
Hlaváček, Ivan. A finite element analysis for elastoplastic bodies obeying Hencky's law. Applications of Mathematics, Tome 26 (1981) no. 6, pp. 449-461. doi : 10.21136/AM.1981.103935. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103935/
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