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

In: Integral Methods in Science and Engineering

Author

Listed:
  • T. V. Lisboa

    (Federal University of Rio Grande do Sul)

  • R. J. Marczak

    (Federal University of Rio Grande do Sul)

  • B. E. J. Bodmann

    (Federal University of Rio Grande do Sul)

  • M. T. M. B. Vilhena

    (Federal University of Rio Grande do Sul)

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.

Suggested Citation

  • T. V. Lisboa & R. J. Marczak & B. E. J. Bodmann & M. T. M. B. Vilhena, 2015. "Anisotropic Fundamental Solutions for Linear Elasticity and Heat Conduction Problems Based on a Crystalline Class Hierarchy Governed Decomposition Method," Springer Books, in: Christian Constanda & Andreas Kirsch (ed.), Integral Methods in Science and Engineering, edition 1, chapter 0, pages 361-373, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-16727-5_31
    DOI: 10.1007/978-3-319-16727-5_31
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