Anti-plane shear Lamb's problem treated by gradient elasticity with surface energy.

DOI10.1016/S0165-2125(98)00015-8zbMath1074.74566OpenAlexW2074457242MaRDI QIDQ5960562

H. G. Georgiadis, I. G. Vardoulakis

Publication date: 8 April 2002

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-2125(98)00015-8

zbMATH Keywords

traction boundary conditions

Mathematics Subject Classification ID

Surface waves in solid mechanics (74J15) Wave scattering in solid mechanics (74J20)

Related Items (10)

Lie point symmetries, conservation and balance laws in linear gradient elastodynamics ⋮ Closed-form frequency solutions for simplified strain gradient beams with higher-order inertia ⋮ A mixed finite volume formulation for the solution of gradient elasticity problems ⋮ Diffraction of antiplane shear waves and stress concentration in a cracked couple stress elastic material with micro inertia ⋮ Asymptotic fracture modes in strain-gradient elasticity: size effects and characteristic lengths for isotropic materials ⋮ Semi-analytical solution for the Lamb's problem in second gradient elastodynamics ⋮ Anisotropy in strain gradient elasticity: simplified models with different forms of internal length and moduli tensors ⋮ Torsional surface waves in a gradient-elastic half-space. ⋮ Some basic half-plane problems of the cohesive elasticity theory with surface energy ⋮ Some basic solutions for wave propagation in a rod exhibiting non-local elasticity

Cites Work

• Exact theory of stress and strain in rods and shells
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• Gradient elasticity with surface energy: Mode-III crack problem
• Notes on the nonlinearly elastic Boussinesq problem
• Theories of elasticity with couple-stress
• On first strain-gradient theories in linear elasticity
• Elastostatic load-transfer to a half-space from a partially embedded axially loaded rod
• The Hilbert problem for generalized functions
• Effects of couple-stresses in linear elasticity
• Micro-structure in linear elasticity
• Torsional surface waves in inhomogeneous elastic media
• Elasticity
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