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A simple finite element‐based framework for the analysis of elastic pseudo‐rigid bodies
Author(s) -
Solberg Jerome M.,
Papadopoulos Panayiotis
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19990730)45:9<1297::aid-nme631>3.0.co;2-5
Subject(s) - finite element method , planar , simple (philosophy) , robustness (evolution) , rigid body , mixed finite element method , mathematics , linear elasticity , finite element limit analysis , mathematical analysis , computer science , classical mechanics , physics , structural engineering , engineering , biochemistry , chemistry , computer graphics (images) , gene , philosophy , epistemology
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.