Stress distribution around a crack in plane micropolar elasticity

DOI10.1007/s10659-006-9078-9zbMath1104.74057OpenAlexW2077941622MaRDI QIDQ861662

E. Shmoylova, Stanislav Potapenko, Leo Rothenburg

Publication date: 30 January 2007

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-006-9078-9

zbMATH Keywords

existencecontinuous dependence on data

Mathematics Subject Classification ID

Brittle fracture (74R10) Polar materials (74A35) Regularity of solutions of equilibrium problems in solid mechanics (74G40)

Related Items (6)

Fracture analysis in micropolar elasticity: mode-I crack ⋮ Quaternionic Operator Calculus for Boundary Value Problems of Micropolar Elasticity ⋮ Fracture analysis in micropolar elasticity: anti-plane crack ⋮ Variational Formulation of Crack Problems in Three-dimensional Classical Elasticity ⋮ Analysis of a gravity dam considering the influence of couple‐stresses ⋮ Boundary element analysis of stress distribution around a crack in plane micropolar 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
• Weak solutions of the exterior boundary value problems of plane Cosserat elasticity
• Existence theorems in the theory of micropolar elasticity
• On Fractal Cracks in Micropolar Elastic Solids
• On the Solution of Mixed Problems in Anti-Plane Micropolar Elasticity
• Cosserat Models Versus Crack Propagation

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