Research Article

A simple finite element-based framework for the analysis of elastic pseudo-rigid bodies

  1. Jerome M. Solberg,
  2. Panayiotis Papadopoulos*

Article first published online: 10 JUN 1999

DOI: 10.1002/(SICI)1097-0207(19990730)45:9<1297::AID-NME631>3.0.CO;2-5

Issue

International Journal for Numerical Methods in Engineering

International Journal for Numerical Methods in Engineering

Volume 45, Issue 9, pages 1297–1314, 30 July 1999

Additional Information

How to Cite

Solberg, J. M. and Papadopoulos, P. (1999), A simple finite element-based framework for the analysis of elastic pseudo-rigid bodies. International Journal for Numerical Methods in Engineering, 45: 1297–1314. doi: 10.1002/(SICI)1097-0207(19990730)45:9<1297::AID-NME631>3.0.CO;2-5

Author Information

  1. Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, U.S.A.

*Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, U.S.A.

Publication History

  1. Issue published online: 10 JUN 1999
  2. Article first published online: 10 JUN 1999
  3. Manuscript Revised: 22 OCT 1998
  4. Manuscript Received: 30 JUN 1997

Funded by

  • National Science Foundation. Grant Number: MSS-9308339

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Keywords:

  • finite element method;
  • pseudo-rigid bodies

Abstract

This article advocates a general procedure for the numerical investigation of pseudo-rigid bodies. The equations of motion for pseudo-rigid bodies are shown to be mathematically equivalent to those corresponding to certain constant-strain finite element approximations for general deformable continua. A straightforward algorithmic implementation is achieved in a classical finite element framework. Also, a penalty formulation is suggested for modelling contact between pseudo-rigid bodies. Representative planar simulations using a non-linear elastic model demonstrate the predictive capacity of the pseudo-rigid theory, as well as the robustness of the proposed computational procedure. Copyright © 1999 John Wiley & Sons, Ltd.

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