Asymptotic behavior of the solution to the Poisson equation near a crack tip with nonlinear boundary conditions on the crack faces

DOI10.1134/S1064562406060202zbMath1205.35068MaRDI QIDQ610522

Sumit K. Garg

Publication date: 8 December 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorPoisson equationcrackcut

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Brittle fracture (74R10) A priori estimates in context of PDEs (35B45) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (4)

Existence of an optimal size of a delaminated rigid inclusion embedded in the Kirchhoff-Love plate ⋮ Optimal control of the thickness of a rigid inclusion in equilibrium problems for inhomogeneous two-dimensional bodies with a crack ⋮ Differentiation of the energy functional in the equilibrium problem for a Timoshenko plate with a crack on the boundary of an elastic inclusion ⋮ Domain decomposition method for a model crack problem with a possible contact of crack edges

Cites Work

• The Griffith formula and the Rice–Cherepanov integral for crack problems with unilateral conditions in nonsmooth domains
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