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Numerical technique in plasticity including solution advancement control
Chalmers University of Technology.
Chalmers University of Technology.
1986 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 22, no 3, p. 769-788Article in journal (Refereed) Published
Abstract [en]

Numerical techniques applied to the consistent formulation of plasticity, which is based on convex analysis, are investigated. For each time step the stress is found as the projection in complementary energy of the elastic stress onto the set of plastically admissible stresses, while the velocity field is the extremal of a non-quadratic functional. Explicit formulas for von Mises' yield criterion with mixed hardening are developed and the nonlinear equations arising from finite element discretization are solved, for comparison, by a number of Newton-type iteration procedures with line search and arc-length control. A few numerical examples with proportional and non-proportional loading are analyzed.

Place, publisher, year, edition, pages
1986. Vol. 22, no 3, p. 769-788
National Category
Infrastructure Engineering
Research subject
Structural Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-4561Local ID: 28522810-8e34-11de-8da0-000ea68e967bOAI: oai:DiVA.org:ltu-4561DiVA, id: diva2:977435
Note
Upprättat; 1986; 20090821 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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Bernspång, Lars

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