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Institute for Problems in Mechanical Engineering
of the Russian Academy of Sciences

Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences

Wave propagation under the influence of voids and non-free surfaces in a micropolar elastic medium

Autors:
Sachin Kaushal , Rajneesh Kumar , Arun Kochar ,
Pages:
226-238
Annotation:

A problem of reflection of elastic wave in micropolar media with the void at non-free surface is considered. The governing equations are formulated for a specific model. The equations so obtained are put in two dimensions and converted into dimensionless form and then solved with the help of the reflection technique. Non-free boundary conditions are taken to obtain the amplitude ratios of different reflected waves i.e. Longitudinal displacement wave (LD-wave), Longitudinal void volume fraction wave (LVVF-wave), Transverse wave (T-wave), and Micro-rotational wave (MR-wave). These amplitude ratios are obtained numerically and also shown graphically for the non-free surface as well as for the free surface to depict the impact of stiffness and void. From the present study, certain cases are also deduced.

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