Differentiation of the energy functional in the equilibrium problem for a Timoshenko plate containing a crack

DOI10.1134/S0021894412020198zbMath1298.74093MaRDI QIDQ468888

Nyurgun Lazarev

Publication date: 10 November 2014

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

zbMATH Keywords

energy functionalvariational inequalitycrackTimoshenko platederivative of energy functional

Mathematics Subject Classification ID

Brittle fracture (74R10) Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items

Optimal control of a thin rigid stiffener for a model describing equilibrium of a Timoshenko plate with a crack ⋮ On delaminated thin Timoshenko inclusions inside elastic bodies ⋮ Shape sensitivity analysis of Timoshenko's plate with a crack under the nonpenetration condition ⋮ On Timoshenko thin elastic inclusions inside elastic bodies ⋮ On modeling elastic bodies with defects ⋮ Optimal Control of the Rigid Inclusion Size in the Problem of Equilibrium of Inhomogeneous Timoshenko Type Plates Containing Cracks ⋮ Differentiation of the energy functional in the equilibrium problem for a Timoshenko plate with a crack on the boundary of an elastic inclusion ⋮ Equilibrium problem for an thermoelastic Kirchhoff-Love plate with a nonpenetration condition for known configurations of crack edges ⋮ On the connection between two equilibrium problems for cracked bodies in the cases of thin and volume rigid inclusions

Cites Work

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• Generalized Newton methods for crack problems with nonpenetration condition