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Master-master frictional contact and applications for beam-shell interaction

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Abstract

The surface-to-surface master–master contact treatment is a technique that addresses pointwise contact between bodies with no prior election of slave points, as in master–slave case. For a given configuration of contact-candidate surfaces, one needs to find the material points associated with a pointwise contact interaction. This is the local contact problem (LCP). The methodology can be applied together with numerical models such as geometrically nonlinear finite elements, discrete elements and multibody dynamics. A previous publication has addressed the possibility of degenerating the local contact problem, which yields the derivation of point-surface, curve-surface and other simplifications on the geometric treatment in the same mathematical formulation, sharing a single numerical implementation. This has useful applications for singularities or non-uniqueness scenarios on the LCP. The present work provides a framework for the degenerated master–master contact formulation including friction. An enhanced friction model is proposed, accounting for a combination of elastic and dissipative effects at the interface. Details of derivations and numerical implementation are given as well as examples related to beam-shell interaction.

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Acknowledgements

The first author acknowledges CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico) under the Grant 304680/2018-4.

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Authors and Affiliations

  1. Polytechnic School at University of São Paulo, São Paulo, Brazil

    Alfredo Gay Neto

  2. Leibniz Universität-Hannover, Hannover, Germany

    Peter Wriggers

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  1. Alfredo Gay Neto
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  2. Peter Wriggers
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Correspondence to Alfredo Gay Neto.

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Gay Neto, A., Wriggers, P. Master-master frictional contact and applications for beam-shell interaction. Comput Mech 66, 1213–1235 (2020). https://doi.org/10.1007/s00466-020-01890-6

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  • DOI: https://doi.org/10.1007/s00466-020-01890-6

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