Some Existence Results in One-Dimensional Dynamic Viscoplasticity with Work Hardening

DOI10.1093/IMAMAT/47.3.217zbMath0743.73010OpenAlexW2150772162MaRDI QIDQ3983047

Ioan R. Ionescu

Publication date: 27 June 1992

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/47.3.217

zbMATH Keywords

Cauchy problemHilbert spaceinitial and boundary value problemsemilinear hyperbolic equationstrain-hardeningone-dimensional mechanical problemsemilinear rate-type elastic-plastic constitutive equationswork- hardening

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Plastic materials, materials of stress-rate and internal-variable type (74C99) Theory of constitutive functions in solid mechanics (74A20)

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