Asymptotic Numerical Method for Nonlinear Constitutive Laws
Keywords:
perturbation techniques, finite elements method, nonlinear computation, plasticityAbstract
This paper deals with the application of the asymptomatic numerical method (ANM) to problems involving nonlinear constitutive laws. We are interested in the deformation theory of plasticity which does not take into account the elastic unloading. We show how to obtain a quadratic form of the problem, what allows us to apply easily the perturbation techniques and to obtain the fastest algorithm. Three constitutive behaviors will be analyzed and some examples will be presented to assess the interest of the proposed algorithm as compared with the classical iterative method of Newton-Raphson.
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