Uniqueness for plane crack problems in dipolar gradient elasticity and in couple-stress elasticity

DOI10.1016/j.ijsolstr.2005.02.045zbMath1119.74549OpenAlexW2113537627MaRDI QIDQ2385953

H. G. Georgiadis, C. G. Grentzelou

Publication date: 16 October 2007

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2005.02.045

zbMATH Keywords

microstructureuniquenessCrack problemsgradient elasticitygeneralized continuum theoriesdipolar stressescouple-stress elasticity

Mathematics Subject Classification ID

Brittle fracture (74R10) Polar materials (74A35) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (16)

Balance laws and energy release rates for cracks in dipolar gradient elasticity ⋮ An approach based on distributed dislocations and disclinations for crack problems in couple-stress elasticity ⋮ Static, stability and dynamic analysis of gradient elastic flexural Kirchhoff plates ⋮ The Boussinesq problem in dipolar gradient elasticity ⋮ Mindlin's micro-structural and gradient elasticity theories and their thermodynamics ⋮ The Cerruti problem in dipolar gradient elasticity ⋮ Stress channelling in extreme couple-stress materials. I: Strong ellipticity, wave propagation, ellipticity, and discontinuity relations ⋮ A new microstructure-dependent Saint-Venant torsion model based on a modified couple stress theory ⋮ Gradient elasticity based on Laplacians of stress and strain ⋮ Couple-stress effects for the problem of a crack under concentrated shear loading ⋮ Plane waves and fundamental solution in a couple stress generalized thermoelastic solid ⋮ Distributed dislocation approach for cracks in couple-stress elasticity: shear modes ⋮ Problems of the Flamant-Boussinesq and Kelvin type in dipolar gradient elasticity ⋮ On the reflection of waves in half-spaces of microstructured materials governed by dipolar gradient elasticity ⋮ Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity ⋮ An Approach Based on Integral Equations for Crack Problems in Standard Couple-Stress Elasticity

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