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Elastodynamics and Elastostatics by a Unified Method of Potentials for x 3-Convex Domains

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Abstract

A new general solution in terms of two scalar potential functions for classical elastodynamics of x 3-convex domains is presented. Through the establishment and usage of a set of basic mathematical lemmas, a demonstration of its connection to Kovalevshi–Iacovache–Somigliana elastodynamic solution, and thus its completeness, is realized with the aid of the theory of repeated wave equations and Boggio’s theorem. With the time dependence of the potentials suppressed, the new decomposition can, unlike Lamé’s, degenerate to a complete solution for elastostatic problems.

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Authors and Affiliations

  1. Department of Engineering Science, Faculty of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran

    Morteza Eskandari-Ghadi

  2. Department of Civil, Environmental and Architectural Engineering, University of Colorado, Boulder, CO, 80309-0428, USA

    Ronald Y. S. Pak

Authors
  1. Morteza Eskandari-Ghadi
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  2. Ronald Y. S. Pak
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Correspondence to Ronald Y. S. Pak.

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Eskandari-Ghadi, M., Pak, R.Y.S. Elastodynamics and Elastostatics by a Unified Method of Potentials for x 3-Convex Domains. J Elasticity 92, 187–194 (2008). https://doi.org/10.1007/s10659-008-9156-2

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  • DOI: https://doi.org/10.1007/s10659-008-9156-2

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