Finite Elasto-Plasto-Dynamics -Challenges & Solutions

Mohr, R., Menzel, A. and Steinmann, P. (2007) Finite Elasto-Plasto-Dynamics -Challenges & Solutions. 2nd Workshop of the DFG's International Research Training Group on Visualization of Large and Unstructured Data Sets - Applications in Geospatial Planning, Modeling, and Engineering, VLUDS 2007, Kaiserslautern; Germany, 9-11 Sept 2007. ISBN 9783885794417

Abstract

In this contribution, we deal with time-stepping schemes for geometrically nonlinear multiplicative elasto-plasto-dynamics. Thereby, the approximation in space as well as in time rely both on a Finite Element approach, providing a general framework which conceptually includes also higher-order schemes. In this context, the algorithmic conservation properties of the related integrators strongly depend on the numerical computation of time integrals, particularly, if plastic deformations are involved. However, the application of adequate quadrature rules enables a fulfilment of physically motivated balance laws and, consequently, the consistent integration of finite elasto-plasto-dynamics. Using exemplarily linear Finite Elements in time, the resulting integration schemes are analysed regarding the obtained conservation properties and assessed in comparison to classical time-stepping schemes which commonly adopt a time-discretisation procedure based on Finite Differences.

• Item Type: Conference or Workshop Item
• Additional Information: Lecture Notes in Informatics (LNI), Proceedings - Series of the Gesellschaft fur Informatik (GI) 2008, pages 88-102.
• 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: Lecture Notes in Informatics (LNI), Proceedings - Series of the Gesellschaft fur Informatik (GI)
• ISSN: 1617-5468
• ISBN: 9783885794417

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