|
Coupled Systems Mechanics Volume 10, Number 1, February 2021 , pages 21-38 DOI: https://doi.org/10.12989/csm.2021.10.1.021 |
||
|
Fundamental and plane wave solution in non-local bio-thermoelasticity diffusion theory |
||
Rajneesh Kumar, Suniti Ghangas and Anil K. Vashishth
|
||
| Abstract | ||
| This work is an attempt to design a dynamic model for a non local bio-thermoelastic medium with diffusion. The system of governing equations are formulated in terms of displacement vector field, chemical potential and the tissue temperature in the context of non local dual phase lag (NL DPL) theories of heat conduction and mass diffusion. Based on this considered model, we study the fundamental solution and propagation of plane harmonic waves in tissues. In order to analyze the behavior of the NL DPL model, we construct basic theorem in the terms of elementary function which determine the existence of three longitudinal and one transverse wave. The effects of various parameters on the characteristics of waves i.e., phase velocity and attenuation coefficients are elaborated by plotting various figures of physical quantities in the later part of the paper. | ||
| Key Words | ||
| non local; bio-thermoelastcity; diffusion; phase lag; fundamental solution; wave propagation | ||
| Address | ||
| Rajneesh Kumar: Department of Mathematics, Kurukshetra University, Kurukshetra - 136119 Haryana, India Suniti Ghangas: Department of Mathematics, M.D.S.D. Girls College, Ambala - 134003, Haryana, India Anil K. Vashishth: Department of Mathematics, Kurukshetra University, Kurukshetra - 136119 Haryana, India | ||
