Vol. 4, No. 1, 2009

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ISSN: 1559-3959
An energy-momentum conserving algorithm for nonlinear transient analysis within the framework of hybrid elements

C. S. Jog and Phani Motamarri

Vol. 4 (2009), No. 1, 157–186
Abstract

This work deals with the formulation and implementation of an energy-momentum conserving algorithm for conducting the nonlinear transient analysis of structures, within the framework of stress-based hybrid elements. Hybrid elements, which are based on a two-field variational formulation, are much less susceptible to locking than conventional displacement-based elements within the static framework. We show that this advantage carries over to the transient case, so that not only are the solutions obtained more accurate, but they are obtained in fewer iterations. We demonstrate the efficacy of the algorithm on a wide range of problems such as ones involving dynamic buckling, complicated three-dimensional motions, et cetera.

Keywords
nonlinear transient analysis, hybrid elements, energy-momentum conservation
Milestones
Received: 23 November 2008
Revised: 7 January 2009
Accepted: 5 February 2009
Published: 8 April 2009
Authors
C. S. Jog
Department of Mechanical Engineering
Indian Institute of Science
Bangalore 560012
India
Phani Motamarri
Department of Mechanical Engineering
Indian Institute of Science
Bangalore 560012
India