Research note on application of a constitutive inequality in nonassociated plasticity (Q1821594)
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scientific article; zbMATH DE number 3999403
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Research note on application of a constitutive inequality in nonassociated plasticity |
scientific article; zbMATH DE number 3999403 |
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Research note on application of a constitutive inequality in nonassociated plasticity (English)
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1987
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A constitutive inequality proposed by several authors is applied, apparently for the first time, to a nonassociated elastic/plastic constitutive model. The main mathematical difficulty ensues from the presence of a nonsymmetric dyadic matrix in the constitutive equations. A general property of such products is used to derive a simple sufficient condition for the constitutive inequality. This condition involves the hardening modulus and the spectral condition number of a matrix arising from the constitutive equations. Several examples are given.
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general eigenvalue bound
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constitutive inequality
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nonassociated elastic/plastic constitutive model
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nonsymmetric dyadic matrix
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hardening modulus
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spectral condition number
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