A SIMPLE FINITE ELEMENT-BASED FRAMEWORK FOR THE ANALYSIS OF ELASTIC
J.M. Solberg and P. Papadopoulos
Int. J. Num. Meth. Engrg., 45, pp. 1297-1314, (1998)
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 modeling
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.
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