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

In: Integral Methods in Science and Engineering, Volume 1

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  • A. Malaspina

    (University of Basilicata)

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 ℝ n $$\mathbb{R}^{n}$$ , 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.

Suggested Citation

  • A. Malaspina, 2017. "An Indirect Boundary Integral Equation Method for Boundary Value Problems in Elastostatics," Springer Books, in: Christian Constanda & Matteo Dalla Riva & Pier Domenico Lamberti & Paolo Musolino (ed.), Integral Methods in Science and Engineering, Volume 1, chapter 0, pages 183-191, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-59384-5_16
    DOI: 10.1007/978-3-319-59384-5_16
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