Instability phenomena and adiabatic shear band localization in termoplastic flow processes

DOI10.1007/BF01213561zbMath0862.73021OpenAlexW2330881330MaRDI QIDQ1912992

Piotr Perzyna

Publication date: 26 May 1997

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01213561

zbMATH Keywords

existenceeigenvalueuniquenessabstract Cauchy problemacceleration waveswell-posednessporositydamaged solidsheat flux vectorresidual stressLie derivativeMaxwell-Cattaneo lawadiabatic acoustic tensorelastic-viscoplastic modelsLyapunov definition of instabilitynonlinear semi-group methodsvector state variablevolume fraction parameter

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Thermodynamics in solid mechanics (74A15) Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

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