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Transient Response of a Nonlocal Viscoelastic Cylinder with Double Porosity

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Abstract

The forced vibration analysis of an isotropic nonlocal viscoelastic hollow cylinder with double porosity due to mechanical loads has been presented in the present work. Inner surface of the cylinder under study has been loaded mechanically while the outer surface has been considered as traction free. In order to simplify the governing equations, a time harmonics technique has been implemented which results a system of coupled ordinary differential equations from coupled partial differential equations. The double porosity of the cylinder has been presumed free from voids volume fraction. The analytical results have been simulated numerically with the help of MATLAB software tools. Computer simulated and generated data has been presented graphically for various field variables of interest obtained from the analytical solutions and analyzed the graphically plotted results.

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Authors and Affiliations

  1. Department of Mathematics, Maharaja Agrasen University, 174103, Baddi, Solan, Himachal Pradesh, India

    Dinesh Kumar Sharma & Nisha Rana

  2. Department of Applied Mathematics, University of Calcutta, 700009, Kolkata, West Bangal, India

    Nantu Sarkar

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  1. Dinesh Kumar Sharma
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  2. Nisha Rana
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  3. Nantu Sarkar
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Correspondence to Dinesh Kumar Sharma, Nisha Rana or Nantu Sarkar.

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Sharma, D.K., Rana, N. & Sarkar, N. Transient Response of a Nonlocal Viscoelastic Cylinder with Double Porosity. Mech. Solids 58, 1912–1927 (2023). https://doi.org/10.3103/S0025654423600964

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