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

A. Malaspina ()
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A. Malaspina: University of Basilicata

Chapter Chapter 16 in Integral Methods in Science and Engineering, Volume 1, 2017, pp 183-191 from Springer

Abstract: 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.

Keywords: Indirect Boundary Integral Equation Method; Double Layer Potential; Single Elastic Layer; Tractable Problem; Dirichlet Problem (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-59384-5_16

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DOI: 10.1007/978-3-319-59384-5_16

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