A corotational hybrid-trefftz stress formulation for modelling cohesive cracks

Kaczmarczyk, L. and Pearce, C.J. (2009) A corotational hybrid-trefftz stress formulation for modelling cohesive cracks. Computer Methods in Applied Mechanics and Engineering, 198(15-16), pp. 1298-1310. (doi: 10.1016/j.cma.2008.11.018)

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This paper presents a corotational hybrid-Trefftz formulation for modelling propagating cohesive cracks and captures moderate rotations but small strains. The formulation is characterised by the fact that stresses are approximated within the domain of the element and the stiffness can be expressed via a boundary rather than a domain integral. Thus, compared to their FEM counterpart, hybrid-Trefftz stress elements exhibit faster convergence of the stress fields. Furthermore, the displacements are approximated on element boundaries and the displacement basis is defined independently on each element interface. Thus, the overall bandwidth of the stiffness matrix is very small and computationally efficient to solve. A corotational formulation for hybrid-Trefftz elements is also introduced in order to capture the effect of geometric nonlinearities in the form of moderate rotations. The model’s performance is demonstrated on three examples, illustrating crack propagation and the influence of geometric nonlinearities.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Kaczmarczyk, Professor Lukasz and Pearce, Professor Chris
Authors: Kaczmarczyk, L., and Pearce, C.J.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Computer Methods in Applied Mechanics and Engineering
ISSN (Online):1879-2138
Published Online:10 December 2008

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
397671Computational homogenisation for modelling heterogeneous multi-phase materialsChristopher PearceEngineering & Physical Sciences Research Council (EPSRC)EP/D500273/1Infrastructure and Environment