A note on fracture models incorporating surface elasticity

DOI10.1007/s10659-011-9369-7zbMath1311.74107OpenAlexW2041120927MaRDI QIDQ695325

Jay R. Walton

Publication date: 21 December 2012

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

Full work available at URL: https://doi.org/10.1007/s10659-011-9369-7

zbMATH Keywords

fracturesingular integro-differential equationsurface elasticity

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Brittle fracture (74R10) Equations linearized about a deformed state (small deformations superposed on large) (74B15)

Related Items (11)

A mode III interface crack with surface strain gradient elasticity ⋮ Crack in an elastic thin-film with surface effect ⋮ Interface crack between dissimilar thin-films with surface effect ⋮ An adhesive contact problem for a semi-plane with a surface elasticity in the Steigmann-Ogden form ⋮ Cracked elastic layer with surface elasticity under antiplane shear loading ⋮ Analysis of the antiplane problem with an embedded zero thickness layer described by the Gurtin-Murdoch model ⋮ A midsurface elasticity model for a thin, nonlinear, gradient elastic plate ⋮ Plane-strain fracture with curvature-dependent surface tension: mixed-mode loading ⋮ A mode III arc-shaped crack with surface elasticity ⋮ Surface strain gradient effects in the torsion of a circular bar with radial cracks ⋮ On stress singularity near the tip of a crack with surface stresses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of a mode-III crack in the presence of surface elasticity and a prescribed non-uniform surface traction
• A continuum theory of elastic material surfaces
• Analysis of plane-strain crack problems (mode-I \& mode-II) in the presence of surface elasticity
• Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack
• Integro-Differential Equation for a Finite Crack in a Strip with Surface Effects
• The Effect of Surface Tension in Modeling Interfacial Fracture
• A New Approach to the Modeling and Analysis of Fracture through Extension of Continuum Mechanics to the Nanoscale

This page was built for publication: A note on fracture models incorporating surface elasticity