A method of successive approximations in a class of problems of the general theory of plasticity
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1982), pp. 76-83
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We describe and elaborate a successive approximation method for solving a class of the value problems of the general plasticity, the boundary value problems in the theory of small-curvature elastoplastic processes. The core of the method is in solving a recursive series of elementary boundary problems yielding the discrete (in time) values of the unknown functions of a process. We give some modifications of the method. We prove the convergence theorem thus settling the existence of the solution to the boundary problem.
@article{VMUMM_1982_6_a14,
author = {G. L. Brovko},
title = {A method of successive approximations in a class of problems of the general theory of plasticity},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {76--83},
year = {1982},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a14/}
}
TY - JOUR AU - G. L. Brovko TI - A method of successive approximations in a class of problems of the general theory of plasticity JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 1982 SP - 76 EP - 83 IS - 6 UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a14/ LA - ru ID - VMUMM_1982_6_a14 ER -
G. L. Brovko. A method of successive approximations in a class of problems of the general theory of plasticity. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1982), pp. 76-83. http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a14/