Abstract
On the base of the elastic-viscoelastic correspondence principle, the Laplace domain direct boundary element approach for the three-dimensional transient problems of the anisotropic viscoelasticity is present in this chapter, and its validity and accuracy is shown through numerical examples. Considered materials can have arbitrary degree of anisotropy . The anisotropic fundamental solutions cannot be expressed in an explicit closed form and in the most general case require a numerical evaluation of a double integral. To improve the efficiency of the formulation a special approximation technique is employed.
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Acknowledgments
The work is financially supported by the Ministry of Education and Science of the Russian Federation in the frame of the main part of the governmental task under project No. 2014/134 2226 and also by the Russian Foundation for Basic Research (RFBR) under grants No. 14-08-31410, No. 15-38-50827, No. 15-08-02814 and No. 15-48-02333.
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Igumnov, L.A., Markov, I.P. (2016). Boundary-Element Modeling of Three-Dimensional Anisotropic Viscoelastic Solids. In: Parinov, I., Chang, SH., Topolov, V. (eds) Advanced Materials. Springer Proceedings in Physics, vol 175. Springer, Cham. https://doi.org/10.1007/978-3-319-26324-3_36
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DOI: https://doi.org/10.1007/978-3-319-26324-3_36
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