Geodesic
Shape sensitivity analysis of the energy integrals for the bodies with rigid inclusions and cracks under nonpenetration condition
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 2, pp. 108-122

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the boundary value problem for equations of the 2D-elasticity theory defined in a domain with a cut. The nonpenetration conditions are fulfilled on the boundary. Moreover we assume that the solution of the problem belongs to the space of rigid displacement on a part of the domain. The shape derivative of the energy functional is obtained.
Keywords: crack, rigid inclusion, shape derivative, nonsmooth domain, nonpenetration condition. 
@article{VNGU_2012_12_2_a9,
     author = {E. M. Rudoy},
     title = {Shape sensitivity analysis of the energy integrals for the bodies with rigid inclusions and cracks under nonpenetration condition},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {108--122},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a9/}
}
TY  - JOUR
AU  - E. M. Rudoy
TI  - Shape sensitivity analysis of the energy integrals for the bodies with rigid inclusions and cracks under nonpenetration condition
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2012
SP  - 108
EP  - 122
VL  - 12
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a9/
LA  - ru
ID  - VNGU_2012_12_2_a9
ER  - 
%0 Journal Article
%A E. M. Rudoy
%T Shape sensitivity analysis of the energy integrals for the bodies with rigid inclusions and cracks under nonpenetration condition
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2012
%P 108-122
%V 12
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a9/
%G ru
%F VNGU_2012_12_2_a9
E. M. Rudoy. Shape sensitivity analysis of the energy integrals for the bodies with rigid inclusions and cracks under nonpenetration condition. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 2, pp. 108-122. http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a9/