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Anisotropic Fundamental Solutions for Linear Elasticity and Heat Conduction Problems Based on a Crystalline Class Hierarchy Governed Decomposition Method

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Integral Methods in Science and Engineering

Abstract

A recursive methodology, based on a constitutive decomposition procedure, is developed to determine anisotropic fundamental solutions, aiming their use on numerical methods such as the Boundary Element Method. Convergence requirements and some important properties of these solutions, as non-degeneracy, are presented. Only theoretical aspects are discussed.

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Authors and Affiliations

  1. Federal University of Rio Grande do Sul, Av. Rua Sarmento Leite 425, Porto Alegre, 90050-170, RS, Brazil

    T. V. Lisboa, R. J. Marczak, B. E. J. Bodmann & M. T. M. B. Vilhena

Authors
  1. T. V. Lisboa
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  2. R. J. Marczak
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  3. B. E. J. Bodmann
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  4. M. T. M. B. Vilhena
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Corresponding author

Correspondence to T. V. Lisboa .

Editor information

Editors and Affiliations

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

    Christian Constanda

  2. Department of Mathematics, Karlsruhe Institute of Technology, Department of Mathematics, Karlsruhe, Germany

    Andreas Kirsch

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Lisboa, T.V., Marczak, R.J., Bodmann, B.E.J., Vilhena, M.T.M.B. (2015). Anisotropic Fundamental Solutions for Linear Elasticity and Heat Conduction Problems Based on a Crystalline Class Hierarchy Governed Decomposition Method. In: Constanda, C., Kirsch, A. (eds) Integral Methods in Science and Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-16727-5_31

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