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

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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. 
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/
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