Finite deformation crack-line fields in a thin elasto-plastic sheet
DOI10.1016/0022-5096(86)90034-7zbMath0575.73105OpenAlexW2073470271MaRDI QIDQ1064177
Publication date: 1986
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-5096(86)90034-7
constitutive relationslinearized elasticityIncompressibilitythin sheetstretching tensorapproximated by classical plane stress resultscrack-line between the crack-tip and the elastic-plastic boundarycrack-line stressescrack-tip zonedeformation gradientsdeformation variableselasto-plastic materialflow law of the Prandtl-Reuss typeintermediate regionmatching of solutionsmatching stress fieldsMode-I openingnear-tip zoneoutside the zone of plastic deformationstate of generalized plane stressuniform in the intermediate regionvon Mises yield criterion in the true stresses
Plastic materials, materials of stress-rate and internal-variable type (74C99) Brittle damage (74R05) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)
Cites Work
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- Crack growth under plane stress conditions in an elastic perfectly- plastic material
- On the analysis of rotation and stress rate in deforming bodies
- Large deformations near a tip of an interface-crack between two Neo- Hookean sheets
- Discontinuous deformation gradients near the tip of a crack in finite anti-plane shear: An example
- Recent finite element studies in plasticity and fracture mechanics
- Anti-plane shear fields with discontinuous deformation gradients near the tip of a crack in finite elastostatics
- Finite deformation solution of a dynamic problem of combined compressive and shear loading for an elastic-plastic half-space
- Stress Analysis for Anisotropic Hardening in Finite-Deformation Plasticity
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