On material forces and finite element discretizations |
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Authors: | R Mueller G A Maugin |
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Affiliation: | (1) Laboratoire de Modélisation en Mécanique, Université Pierre et Marie Curie, Case 162, 4 place Jussieu, 75252 Paris Cedex 05, France, FR |
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Abstract: | The idea of using material forces also termed configurational forces in a computational setting is presented. The theory
of material forces is briefly recast in the terms of a non-linear elastic solid. It is shown, how in a computational setting
with finite elements (FE) the discrete configurational forces are calculated once the classical field equations are solved.
This post-process calculation is performed in a way, which is consistent with the approximation of the classical field equations.
Possible physical meanings of this configurational forces are discussed. A purely computational aspect of material forces
is pointed out, where material forces act as an indicator to obtain softer discretizations.
Received 12 December 2001 / Accepted 18 March 2002 |
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Keywords: | Finite element method Material force Eshelbian mechanics |
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