Email this article Bulk Green’s Functions in Two-dimensional Coupled Unsteady Problems of Elastic Diffusion for Orthotropic Continuum
- Authors: Tarlakovskii D.V.1,2, Zemskov A.V.1,2
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Affiliations:
- Research Institute of Mechanics
- Moscow Aviation Institute
- Issue: Vol 40, No 3 (2019)
- Pages: 375-383
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204204
- DOI: https://doi.org/10.1134/S1995080219030181
- ID: 204204
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Abstract
We consider a two-dimensional unsteady coupled problem of elasticity with diffusion and preset unsteady volumetric disturbances. The mathematical model is based on a local equilibrium model of elastic diffusion. The solution is sought in integral form. Bulk Green’s functions are found via Laplace transform and Fourier transform for unbounded medium, sine and cosine transform for semi-bounded continuum, Fourier’s series for bounded continuum.
About the authors
D. V. Tarlakovskii
Research Institute of Mechanics; Moscow Aviation Institute
Author for correspondence.
Email: tdv902@mai.ru
Russian Federation, Michurinskii pr. 1, Moscow, 119192; Volokolamskoe sh. 4, Moscow, 125993
A. V. Zemskov
Research Institute of Mechanics; Moscow Aviation Institute
Author for correspondence.
Email: azemskov1975@mail.ru
Russian Federation, Michurinskii pr. 1, Moscow, 119192; Volokolamskoe sh. 4, Moscow, 125993
