Stress Distribution Around a Crack in Anti-Plane Micropolar Elasticity

DOI10.1177/1081286506074881zbMath1175.74075OpenAlexW2008613923MaRDI QIDQ3629993

E. Shmoylova, Stanislav Potapenko

Publication date: 2 June 2009

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286506074881

zbMATH Keywords

weak solutionsboundary integral equation methodcracks in micropolar mediumanti-plane micropolar elasticity

Mathematics Subject Classification ID

Brittle fracture (74R10) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Elastic materials (74B99)

Related Items (3)

Fracture analysis in micropolar elasticity: mode-I crack ⋮ Fracture analysis in micropolar elasticity: anti-plane crack ⋮ Variational Formulation of Crack Problems in Three-dimensional Classical Elasticity

Cites Work

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• Existence of \(2\pi\)-periodic solutions for the non-dissipative Duffing equation under asymptotic behaviors of potential function
• Linear micropolar elastic crack-tip fields under mixed mode loading conditions
• The effect of couple stresses on the tip of a crack
• Integral equation methods in plane asymmetric elasticity
• Antiplane shear deformations in a linear theory of elasticity with microstructure
• A generalized Fourier approximation in anti-plane Cosserat elasticity
• Existence theorems in the theory of micropolar elasticity
• Fundamental sequences of functions in the approximation of the solution to the mixed boundary value problem in anti-plane Cosserat elasticity
• On Fractal Cracks in Micropolar Elastic Solids
• On the Solution of Mixed Problems in Anti-Plane Micropolar Elasticity
• Cosserat Models Versus Crack Propagation
• Anti-Plane Shear Deformations in Linear and Nonlinear Solid Mechanics
• Solvability of Weak Solutions to Anti-Plane Cosserat Elasticity by Means of Boundary Integral Equations

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