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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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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