WAVE ANALYSIS OF NONLOCAL BIOTHERMOELASTIC MEDIA DESCRIBED BY A HYPERBOLIC TWO-TEMPERATURE MODEL WITHIN THE FRAMEWORK OF THE REFINED LORD-SHULMAN MODEL
K. Sharma1, D. Batra2, R. Kumar3, S. Sharma4
1Chemin de Chandieu 25, Lausanne, Switzerland
2Kishan Lal Government College, Rewari, India
3Kurukshetra University, Kurukshetra, India
4Harrow Crescent, Yardley, USA
Keywords: biothermoelasticity, blood perfusion rate, refined Lord-Shulman model, reflection, amplitude ratio, energy ratio
Abstract
Wave reflection in a nonlocal biothermoelastic medium described by a hyperbolic two-temperature model is investigated within the framework of the refined Lord-Shulman model. A two-dimensional half-space with impedance-type boundary conditions is considered. The governing equations are reduced to dimensionless form and solved using potential functions. The existence of three longitudinal waves and one transverse wave is demonstrated. Reflection coefficients and the corresponding energy ratios are obtained. The refined Lord-Shulman model is compared with the classical model. Although the plane-wave reflection problem is idealized, it provides a useful theoretical basis for studying the influence of biological tissue parameters on the energy of reflected waves.
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