On the formulation of plane strain problems for elastic perfectly-plastic medium
DOI10.1016/0020-7225(83)90060-5zbMath0523.73028OpenAlexW1966698784MaRDI QIDQ1056573
Publication date: 1983
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7225(83)90060-5
jumpshyperbolic equationsplane strain problems\(v \to 1/2\)\(v<1/2\)abrupt transitioncase v=1/2discontinuities occur only across boundaries between elastic and plastic regionsdiscontinuities of solutions occur inside plastic regionelastic-plastic evolutionary problemsequations are ellipticoccur inner boundary layersorder of magnitude of width of inner boundary layer estimatedrelations for discontinuity gapssolutions be sufficiently smooth inside plastic regionstrain-history-dependent yield conditionsstress-rate functiontheorem for unloadingtime-varying boundariestwo contiguity conditions for displacements in simple formsweak and strong discontinuities
Plastic materials, materials of stress-rate and internal-variable type (74C99) Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99)
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