GeneralizedJ-integral and its applications I —Basic theory—

DOI10.1007/BF03167081zbMath0606.73114MaRDI QIDQ3745443

Kohji Ohtsuka

Publication date: 1985

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

elliptic boundary value problemsenergy release rategeneralized J-integralHadamard's variational formulaperturbations of singularitiesglobal energy variationJR-integrallocal energy variation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Stress concentrations, singularities in solid mechanics (74G70) Brittle damage (74R05)

Related Items

Finite element analysis and shape optimization of singular points in boundary value problems for partial differential equations ⋮ DIFFERENTIATION OF THE ENERGY FUNCTIONALS FOR EQUILIBRIUM PROBLEMS OF THE KIRCHHOFF–LOVE PLATES WITH NONPENETRATION CONDITIONS FOR KNOWN CONFIGURATIONS OF PLATE EDGES ⋮ Differentiation of the energy functional in the equilibrium problem for a Timoshenko plate containing a crack ⋮ Unnamed Item ⋮ Differentiability of potential energies with a parameter and shape sensitivity analysis for nonlinear case: the \(p\)-Poisson problem ⋮ Shape derivative of cost function for singular point: Evaluation by the generalized J integral

Cites Work

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