Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/925074

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Title
Alternative stress-integration schemes for large-deformation problems of solid mechanics
Author/Creator
Nazem, Majidreza;  Carter, John P.;  Sheng, Daichao;  Sloan, Scott W.
Institution
The University of Newcastle. Faculty of Engineering & Built Environment, School of Engineering
Description
In solving nonlinear problems of solid mechanics by the finite-element method, stresses at integration points are usually obtained by integrating nonlinear constitutive equations, given known incremental strains. In a large-deformation analysis, stress–strain relationships must be frame independent such that any rigid-body motion does not induce strain within the material. This principle is generally satisfied by introducing an objective stress rate, such as the Jaumann or Truesdell stress rates, into the constitutive equations. This paper investigates three alternative algorithms for integrating stress–strain relationships in a large-deformation analysis. It is shown that the effect of rigid-body motion is equivalent to a stress transformation and this transformation can be introduced before, after or during integration of the stress–strain constitutive equations. Although there is no theoretical advantage, in terms of accuracy, for selecting one of these strategies over the others, in terms of efficiency of algorithms one is more advantageous than the others. Performance of the proposed algorithms is studied and compared by means of numerical examples. The results of this study can be used in the development of fast and robust algorithms for stress integration of constitutive equations in nonlinear finite-element analysis.
Relation
Finite Elements in Analysis and Design Vol. 45, Issue 12, p. 934-943
Publisher Link
http://dx.doi.org/10.1016/j.finel.2009.09.006
Date
2009
Publisher
Elsevier
Keyword(s)
large deformation;  stress integration;  finite elements;  rate constitutive equations
Resource Type
journal article
Identifier
http://hdl.handle.net/1959.13/925074
Identifier
ISSN:0168-874X
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Subject
"Finite Elements in Analysis and Design"
 
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