Abstract
In this paper, the radial vibrations in unbounded micropolar elastic solid with fluid loaded spherical cavity have been investigated. The micropolar elastic solid is homogeneous and isotropic, while the loaded fluid is homogenous, isotropic, and inviscid. The frequency equation for radial vibrations of macro-displacements is derived and which is influenced by the loaded fluid, while the vibrations for micro-rotations are not influenced by the loaded fluid and these have been coinciding with the results of Somaiah (Comput Sci Math Biol 47–50, 2016). The dispersion relation for macro-displacements is obtained as particular case of this investigation. Further, numerical computations have been performed and have also been shown graphically to understand the behavior of phase speed and dispersion equations in the medium.
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Srinivas, R., Somaiah, K. (2018). Radial Vibrations in Unbounded Micropolar Elastic Solid with Fluid Loaded Spherical Cavity. In: Singh, M., Kushvah, B., Seth, G., Prakash, J. (eds) Applications of Fluid Dynamics . Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-5329-0_31
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DOI: https://doi.org/10.1007/978-981-10-5329-0_31
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