Explicit forms for the tangent modulus tensor in viscoplastic stress analysis

Viscoplastic constitutive models typically lead to compliance (strain–stress) relationships, which must be inverted for use in the finite element displacement method. Computational requirements can be increased significantly for models of practical size due to the large number of matrix inversions w...

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Veröffentlicht in:	International journal for numerical methods in engineering 1984-02, Vol.20 (2), p.315-319
1. Verfasser:	Brockman, R. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Fundamental areas of phenomenology (including applications) Inelasticity (thermoplasticity, viscoplasticity...) Physics Solid mechanics Structural and continuum mechanics
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container_title	International journal for numerical methods in engineering
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creator	Brockman, R. A.
description	Viscoplastic constitutive models typically lead to compliance (strain–stress) relationships, which must be inverted for use in the finite element displacement method. Computational requirements can be increased significantly for models of practical size due to the large number of matrix inversions which are necessary. This paper describes a method of obtaining the required stress–strain relations analytically, thus eliminating the need for numerous matrix inversions in the solution. The technique is applicable to a number of commonly‐used viscoplastic models, as demonstrated in the examples.
doi_str_mv	10.1002/nme.1620200210
format	Article
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source	Wiley Online Library Journals Frontfile Complete
subjects	Exact sciences and technology Fundamental areas of phenomenology (including applications) Inelasticity (thermoplasticity, viscoplasticity...) Physics Solid mechanics Structural and continuum mechanics
title	Explicit forms for the tangent modulus tensor in viscoplastic stress analysis
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