Abstract
As a panacea for serious limitations exhibited by classical continuum models in the post-instability region, the generalization of standard J2-elastoplasticity within the Cosserat continuum is introduced. Constitutive equations are briefly reviewed and a computational framework is modified to accomodate for additional degrees of freedom. Consistent linearization of the field equations is performed which leads to a fully implicit scheme which preserves asymptotic quadratic convergence of the Newton-Raphson method. Through the finite element simulation of the slope localisation problem for an elasto-plastic softening material the Cosserat continuum model is critically assessed against the classical continuum model.
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Yu, J., Peric, D., Owen, D.R.J. (1991). An Assessment of the Cosserat Continuum through the Finite Element Simulation of a Strain Localisation Problem. In: Oñate, E., Periaux, J., Samuelsson, A. (eds) The finite element method in the 1990’s. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10326-5_33
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DOI: https://doi.org/10.1007/978-3-662-10326-5_33
Publisher Name: Springer, Berlin, Heidelberg
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