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Lookup NU author(s): Robert Hiley,
Dr Mohamed Rouainia
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Modern constitutive models have the potential to improve the quality of engineering calculations involving non-linear anisotropic materials. The adoption of complex models in practice, however, depends on the availability of reliable and accurate solution methods for the stress point integration problem. This paper presents a modular implementation of explicit Runge-Kutta methods with error control, that is suitable for use, without change, with any rate-type constitutive model. The paper also shows how the complications caused by the algebraic constraint of conventional plasticity are resolved through a simple subloading modification. With this modification any rate-independent model can be implemented without difficulty, using the integration module as an accurate and robust standard procedure. The effectiveness and efficiency of the method are demonstrated through a comparative evaluation of second and fifth-order formulas, applied to a complex constitutive model for natural clay, full details of which are given. © 2007 Springer-Verlag.
Author(s): Hiley RA, Rouainia M
Publication type: Article
Publication status: Published
Journal: Computational Mechanics
ISSN (print): 0178-7675
ISSN (electronic): 1432-0924
Publisher: Springer Berlin
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