Homogenization of the System of Acoustic Equations for Layered Viscoelastic Media

Author:

Shumilova V. V.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference7 articles.

1. E. Sanchez-Palencia, Non-Homogeneous Media and Vibration THeory, Springer, Berlin etc. (1980).

2. Z. Abdessamad, I. Kostin, and G. Panasenko, “Memory effect in homogenization of a viscoelastic Kelvin–Voigt model with time-dependent coefficients,” Math. Models Methods Appl. Sci. 19, No. 9, 1603–1630 (2009).

3. A. S. Shamaev and V. V. Shumilova, “On the spectrum of one-dimensional oscillations of a laminated composite with layers of elastic and viscoelastic materials” [in Russian], Sib. Zh. Industr. Mat. 15, No. 4, 124–134 (2012).

4. V. V. Shumilova, “Homogenizing the viscoelasticity problem with long-term memory,” Math. Notes 94, No. 3, 414–425 (2013).

5. A. S. Shamaev and V. V. Shumilova, “On the spectrum of one-dimensional oscillations in an elastic and Kelvin–Voigt viscoelastic layered medium” [in Russian], Zh. Vychisl. Mat. Mat. Fiz. 53, No. 2, 282–290 (2013).

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