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

✍ Scribed by Jerome M. Solberg; Panayiotis Papadopoulos

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 157 KB
• Volume: 45
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19990730)45:9<1297::aid-nme631>3.0.co;2-5

✦ Synopsis

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 ÿnite element approximations for general deformable continua. A straightforward algorithmic implementation is achieved in a classical ÿnite element framework. Also, a penalty formulation is suggested for modelling contact between pseudo-rigid bodies. Representative planar simulations using a nonlinear elastic model demonstrate the predictive capacity of the pseudo-rigid theory, as well as the robustness of the proposed computational procedure.