Conservation Properties of Galerkin-Based Time-Stepping Schemes for Finite Elasto-Plasto-Dynamics

Mohr, R., Menzel, A. and Steinmann, P. (2007) Conservation Properties of Galerkin-Based Time-Stepping Schemes for Finite Elasto-Plasto-Dynamics. In: 9th International Conference on Computational Plasticity: Fundamentals and Applications, COMPLAS IX, Barcelona, Spain, 5-7 Sept 2007, ISBN 9788496736290

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Abstract

The consideration of plastic deformations in a dynamical framework is a demanding task in computational mechanics, compare also Armero 1, or Meng and Laursen 2. In this contribution, we follow the concepts which have been proposed for hyperelasticity by Gross 3 et al. and pick-up the general framework of Galerkin methods in space and time, developing time-stepping schemes for finite multiplicative elasto-plasto-dynamics, as suggested in Mohr 4 et al.. In this context, the algorithmic conservation properties of the resulting integrators strongly depend on the numerical computation of time integrals, particularly, if plastic deformations are involved. However, the application of adequate quadrature rules renders an excellent numerical performance of the proposed integrators.

Item Type:Conference Proceedings
Additional Information:Computational Plasticity - Fundamentals and Applications, COMPLAS IX. Issue PART 2, 2007, Pages 948-951
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Mohr, R., Menzel, A., and Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Computational Plasticity - Fundamentals and Applications, COMPLAS IX
ISBN:9788496736290
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