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On inter-element forces in the FEM-displacement formulation, and implications for stress recovery

Abstract : This paper describes a new technique for the determination of the inter-element forces and tractions, as well as stress state at nodes, as a post-processing step after the solution of standard FE-displacement calculation. The work is motivated in the context of a broader development of a procedure to simulate fracture processes using a discrete approach without the need of double-noded interface elements. The technique, easily implementable, is based on the double minimization of an objective function, representing the error between the inter-element stress tractions and the projection of the best-fit stress tensor T along the planes of the interfaces converging at an element corner node. The formulation is illustrated with some basic examples in which the resulting stress tensors and inter-element forces are compared to theoretical solutions and to the results obtained by using a traditional stress average smoothing method.
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  • HAL Id : hal-00878256, version 1

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Daniela Ciancio, Ignacio Carol, Massimo Cuomo. On inter-element forces in the FEM-displacement formulation, and implications for stress recovery. International Journal for Numerical Methods in Engineering, Wiley, 2006, 66 (3), pp.502-528. ⟨hal-00878256⟩

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