On intrinsic eigenstates in plasticity with generalized variables

DOI10.1017/S030500410006045XzbMath0508.73032OpenAlexW2146589542MaRDI QIDQ4747662

Rodney Hill

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030500410006045x

zbMATH Keywords

work-conjugacygeneralized variablesrigid/plastic responsemeasures of strainchoice of variables affects parameters and qualitative featuresconcise formulae of transformationconjugate stress either stationary or coupled differentially with strainconstitutive frame-workeigenstates intrinsic to materialelstic/plasticincipient branching of strain responsemeasures of stresssensitivity to loading environmentsets of any geometric magnitudesshape of material elementstrain can change

Mathematics Subject Classification ID

Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Plastic materials, materials of stress-rate and internal-variable type (74C99)

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Cites Work

• Some basic principles in the mechanics of solids without a natural time
• A general theory of uniqueness and stability in elastic-plastic solids
• Constitutive laws and waves in rigid/plastic solids
• On constitutive inequalities for simple materials. I

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