On modeling elastic bodies with defects

DOI10.17377/semi.2018.15.015zbMath1390.35354MaRDI QIDQ1707589

Alexandr Mikhailovich Khludnev

Publication date: 3 April 2018

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

optimal controlvariational inequalitydefectdamage parameterderivative of energy functionalnon-penetration boundary conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Control/observation systems governed by functional-differential equations (93C23) Nonlinear elasticity (74B20) Variational methods applied to PDEs (35A15) Brittle damage (74R05) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with control and optimization (35Q93)

Related Items (11)

Asymptotic justification of the models of thin inclusions in an elastic body in the antiplane shear problem ⋮ Equilibrium of a three-layer plate with crack ⋮ Asymptotic modelling of bonded plates by a soft thin adhesive layer ⋮ On thin inclusions in elastic bodies with defects ⋮ Unnamed Item ⋮ A contact of two elastic plates connected along a thin rigid inclusion ⋮ Inverse problem for elastic body with thin elastic inclusion ⋮ A Contact Problem for a Plate and a Beam in Presence of Adhesion ⋮ On the equilibrium problem for a two-layer structure with the upper layer covering a defect tip ⋮ On equilibrium problem for a two-layer structure in the presence of a defect ⋮ A problem of glueing of two Kirchhoff-Love plates

Cites Work

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• On an optimal control problem for the shape of thin inclusions in elastic bodies

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