SeminarsHomogenization Theory for the Elasticity I, II
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In the second talk, we will focus on the application of homogenization in the elastic wave equation. Illustrate step by step how to obtain the effective properties like elastic constants and the mass density in the case of solid-solid composites from one to three dimensionalities. In addition, we extend the theory to study the case of solid-fluid systems with and without damping by the three-scale analysis. By this method, we can define the effective viscosity and find that the propagating longitudinal mode can be supported in the layered composite material with viscosity in the long wavelength limit.
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Ying-Hong Liu
2008-10-17
12:30:00 - 14:30:00
308 , Mathematics Research Center Building (ori. New Math. Bldg.)
In the second talk, we will focus on the application of homogenization in the elastic wave equation. Illustrate step by step how to obtain the effective properties like elastic constants and the mass density in the case of solid-solid composites from one to three dimensionalities. In addition, we extend the theory to study the case of solid-fluid systems with and without damping by the three-scale analysis. By this method, we can define the effective viscosity and find that the propagating longitudinal mode can be supported in the layered composite material with viscosity in the long wavelength limit.