On a stability criterion in non-associated viscoplasticity

DOI10.1007/BF01175719zbMath0628.73042MaRDI QIDQ1093408

David W. Nicholson

Publication date: 1987

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

zbMATH Keywords

eigenvaluesupper and lower boundsJacobian matrixHurwitzstability inequalitiesisotropic associated flow modelnon-associated viscoplastic constitutive modelnonsymmetric vector dyadic producttransversely isotropic non-associated model

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Inequalities involving eigenvalues and eigenvectors (15A42) Plastic materials, materials of stress-rate and internal-variable type (74C99)

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Cites Work

• A large deformation anisotropic thermoviscoplastic constitutive model
• On the structure of the theory of viscoplasticity
• The Generalized Finite Element Method—State of the Art and Future Directions
• Eigenvalues of Jordan Products
• Numerical stability in quasi-static elasto/visco-plasticity
• Über die Ansätze der Mechanik isotroper Kontinua
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