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An Indirect Boundary Integral Equation Method for Boundary Value Problems in Elastostatics

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Integral Methods in Science and Engineering, Volume 1

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Abstract

In this paper we describe an indirect boundary integral equations method to solve the Dirichlet problem for Lamé system in a multiply connected domain of \(\mathbb{R}^{n}\), n ≥ 2. In particular we show how to represent the solution in terms of a single-layer potential, instead of the classical double-layer potential. By using the theory of reducible operators and the theory of differential forms we treat also the double-layer potential ansatz for the traction problem.

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Authors and Affiliations

  1. University of Basilicata, Potenza, Italy

    A. Malaspina

Authors
  1. A. Malaspina
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Correspondence to A. Malaspina .

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Editors and Affiliations

  1. Department of Mathematics, The University of Tulsa, Tulsa, Oklahoma, USA

    Christian Constanda

  2. Department of Mathematics, The University of Tulsa, Tulsa, Oklahoma, USA

    Matteo Dalla Riva

  3. Department of Mathematics, University of Padova, Padova, Italy

    Pier Domenico Lamberti

  4. Systems Analysis, Prognosis and Control, Fraunhofer Institute for Industrial Math, Kaiserslautern, Germany

    Paolo Musolino

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Malaspina, A. (2017). An Indirect Boundary Integral Equation Method for Boundary Value Problems in Elastostatics. In: Constanda, C., Dalla Riva, M., Lamberti, P., Musolino, P. (eds) Integral Methods in Science and Engineering, Volume 1. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-59384-5_16

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