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Advanced Boundary Element Methods pp 95–114Cite as

The Signorini Problem and More Nonsmooth BVPs and Their Boundary Integral Formulation

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Part of the book series: Springer Series in Computational Mathematics ((SSCM,volume 52))

Abstract

In this chapter we deal with unilateral and nonsmooth boundary value problems, in particular Signorini problems without and with Tresca friction and nonmontone contact problems from adhesion/delamination in the range of linear elasticity. We show how the boundary integral techniques developed in the previous chapters can be used to transform those problems to boundary variational inequalities. This opens the way to the numerical treatment of these nonlinear problems by the BEM as detailed in Chap. 11.

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Authors and Affiliations

  1. Fakultät für Luft- und Raumfahrttechnik, Universität der Bundeswehr München, Neubiberg/München, Germany

    Joachim Gwinner

  2. Institut für Angewandte Mathematik, Leibniz Universität Hannover, Hannover, Germany

    Ernst Peter Stephan

Authors
  1. Joachim Gwinner
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  2. Ernst Peter Stephan
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Gwinner, J., Stephan, E.P. (2018). The Signorini Problem and More Nonsmooth BVPs and Their Boundary Integral Formulation. In: Advanced Boundary Element Methods. Springer Series in Computational Mathematics, vol 52. Springer, Cham. https://doi.org/10.1007/978-3-319-92001-6_5

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