Localized shear discontinuities near the tip of a mode I crack

DOI10.1007/BF00043018zbMath0603.73097MaRDI QIDQ1082902

Jae-Sung Yang, Rohan C. Abeyaratne

Publication date: 1987

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

zbMATH Keywords

simple sheartwo shockssystem of differential equationshomogeneousincompressibleisotropictip of a crackstress-strain behaviorcontinuous displacements and tractionsdirect asymptotic calculationdiscontinuous stress and deformation gradient fieldslinear boundary-value problemlose ellipticity at sufficiently severe strainsnear-tip statesone non-ellipticother ellipticoverlapping subdomainsplane strain mode I conditionstwo asymptotic solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elasticity (74B20) Brittle damage (74R05) Representations of solutions to partial differential equations (35C99)

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Cites Work

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