The Shape Derivative of the Energy Integral in Elasticity Theory for Bodies with Rigid Inclusions and Cracks

DOI10.1007/S10958-014-1812-4zbMath1289.74118OpenAlexW2024122875MaRDI QIDQ5398228

Evgeniĭ Mikhaĭlovich Rudoy

Publication date: 26 February 2014

Published in: Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-1812-4

zbMATH Keywords

crackrigid inclusionshape derivativenon-penetration conditionnonsmooth domain

Mathematics Subject Classification ID

Variational inequalities (49J40) Classical linear elasticity (74B05) Brittle fracture (74R10) Plates (74K20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

A contact problem for an elastic plate with a thin rigid inclusion ⋮ Shape sensitivity analysis of the energy integrals for the Timoshenko-type plate containing a crack on the boundary of a rigid inclusion

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