On the interaction between a dislocation and a crack in a material with a nonlinear stress-strain law

DOI10.1007/BF00041760zbMath0602.73109WikidataQ60171560 ScholiaQ60171560MaRDI QIDQ1082169

C. R. Champion, Colin Atkinson

Publication date: 1986

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

zbMATH Keywords

Mellin transformdislocationWiener-Hopf techniqueinteractionpower law stress-strain relationapproximation of plastic zone at crack tipAtkinson-Kay superdislocation modeldisplacement loaded striplongitudinal shear deformationnonlinear stress-strain lawrelaxed crack tipzero stress intensity factor

Mathematics Subject Classification ID

Stress concentrations, singularities in solid mechanics (74G70) Plastic materials, materials of stress-rate and internal-variable type (74C99) Brittle damage (74R05)

Cites Work

• The elastic energy-momentum tensor
• Fully plastic crack in an infinite body under anti-plane shear
• SOME BOUNDARY-VALUE PROBLEMS FOR THE EQUATION 〈.(|〈φ|^N〈φ)=0
• SOME SCREW-DISLOCATION AND POINT-FORCE INTERACTIONS WITH BOUNDARIES FOR NONLINEAR POWER-LAW MATERIALS

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