In this work we consider a solid body constituted by a nonhomogeneous elastoplastic material, submitted to a density of body forces and a density of forces acting on the boundary where the real is the loading parameter. The problem is to determine, in the case of an unbounded convex of elasticity, the Limit load denoted by beyond which there is a break of the structure. The case of a bounded convex of elasticity is done in [El-Fekih and Hadhri, RAIRO: Modél. Math. Anal. Numér. 29 (1995) 391-419]. Then assuming that the convex of elasticity at the point x of , denoted by K(x), is written in the form of , I is the identity of , and the deviatoric component is bounded regardless of x , we show under the condition “Rot f or g is not colinear to the normal on a part of the boundary of ”, that the Limit Load searched is equal to the inverse of the infimum of the gauge of the Elastic convex translated by stress field equilibrating the unitary load corresponding to ; moreover we show that this infimum is reached in a suitable function space.
@article{M2AN_2005__39_4_637_0, author = {Elyacoubi, Adnene and Hadhri, Taieb}, title = {Characterization of the limit load in the case of an unbounded elastic convex}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {637--648}, publisher = {EDP-Sciences}, volume = {39}, number = {4}, year = {2005}, doi = {10.1051/m2an:2005028}, mrnumber = {2165673}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an:2005028/} }
TY - JOUR AU - Elyacoubi, Adnene AU - Hadhri, Taieb TI - Characterization of the limit load in the case of an unbounded elastic convex JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2005 SP - 637 EP - 648 VL - 39 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2005028/ DO - 10.1051/m2an:2005028 LA - en ID - M2AN_2005__39_4_637_0 ER -
%0 Journal Article %A Elyacoubi, Adnene %A Hadhri, Taieb %T Characterization of the limit load in the case of an unbounded elastic convex %J ESAIM: Modélisation mathématique et analyse numérique %D 2005 %P 637-648 %V 39 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2005028/ %R 10.1051/m2an:2005028 %G en %F M2AN_2005__39_4_637_0
Elyacoubi, Adnene; Hadhri, Taieb. Characterization of the limit load in the case of an unbounded elastic convex. ESAIM: Modélisation mathématique et analyse numérique, Volume 39 (2005) no. 4, pp. 637-648. doi : 10.1051/m2an:2005028. http://www.numdam.org/articles/10.1051/m2an:2005028/
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