Some basic half-plane problems of the cohesive elasticity theory with surface energy

DOI10.1007/BF01179017zbMath0922.73007OpenAlexW2094164244MaRDI QIDQ1290915

George Exadaktylos

Publication date: 18 October 1999

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01179017

zbMATH Keywords

influence functionsstrain singularitiesconcentrated edge forceshigher-order terms in constitutive equationsload-induced concentrations of stress

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Contact in solid mechanics (74M15) Theories of friction (tribology) (74A55)

Related Items

The Boussinesq problem in dipolar gradient elasticity ⋮ A G2 constant displacement discontinuity element for analysis of crack problems ⋮ Reflection and transmission of elastic waves at the interface between two gradient-elastic solids with surface energy ⋮ Geometrically nonlinear higher-gradient elasticity with energetic boundaries ⋮ Deformation of an elastic second gradient spherical body under equatorial line density of dead forces ⋮ The G2 constant displacement discontinuity method. I: Solution of plane crack problems ⋮ Problems of the Flamant-Boussinesq and Kelvin type in dipolar gradient elasticity ⋮ Parametric deep energy approach for elasticity accounting for strain gradient effects

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the role of gradients in the localization of deformation and fracture
• Gradient elasticity with surface energy: Mode-III crack problem
• Gradient elasticity with surface energy: Mode-I crack problem
• Surface instability in gradient elasticity with surface energy
• A simple approach to solve boundary-value problems in gradient elasticity
• On first strain-gradient theories in linear elasticity
• Effects of couple-stresses in linear elasticity
• Micro-structure in linear elasticity
• Cohesive elasticity and surface phenomena
• The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
• Anti-plane shear Lamb's problem treated by gradient elasticity with surface energy.