Soumen Shaw

Rayleigh surface wave propagation in orthotropic thermoelastic solids under three-phase-lag model

ABSTRACT The present article deals with the propagation of Rayleigh surface waves in a homogeneous, orthotropic thermoelastic half-space in the context of three-phase-lag model of thermoelasticity. The frequency equations in closed form are derived and the amplitude ratios of surface displacements and temperature change during the Rayleigh wave propagation on the surface of half-space have been computed analytically. The path of particles during Rayleigh wave propagation is found elliptical and eccentricity of the ellipse is derived. To illustrate the analytical developments, the numerical solution is performed and the computer-simulated results in respect of phase velocity, attenuation coefficient, and specific loss are presented graphically.

Periodically varying heat source response in a functionally graded microelongated medium

Abstract The present paper deals with the response due to periodically varying heat sources in the neighborhood of the origin of a functionally graded isotropic unbounded microelongated medium, in the context of generalized thermoelastic theory. The expressions for displacement, microelongation and temperature fields have been obtained in Laplace–Fourier transformed domain. After computing the inverse Fourier transforms by contour integration technique, the inversion of Laplace transforms has been obtained numerically. The changes of displacement, microelongation, and normal strain have been shown graphically for different types of heat source.

Thermal shock response in magneto-thermoelastic orthotropic medium with three-phase-lag model

Abstract This paper is dealing with the thermal shock response on the propagation of electro-magneto-thermoelastic disturbances in an orthotropic medium. In this context, three-phase-lag model of generalized thermoelasticity theory is considered. In presence of magnetic field as well as electric field, Maxwell’s equations are adopted to formulate the electro-magneto thermoelastic coupled governing equations. The considered formulation is applied to the half-space subjected to time-dependent thermal shock. The normal mode analysis is used to obtain the analytical expressions of the field variables. The variation of displacement, stress and temperature distribution with and without magnetic effect for various thermoelastic models are presented graphically. Finally, a comparison of the results with different models of thermoelasticity is made.

Analysis of Rayleigh surface wave propagation in isotropic micropolar solid under three-phase-lag model of thermoelasticity

The present paper is dealing about the Rayleigh surface wave propagation in an isotropic-micropolar-thermoelastic solid by employing the three-phase-lag thermoelasticity theory. The secular equations for insulated as well as isothermal boundary conditions are derived analytically. Effect of phase lags on phase velocity, attenuation coefficient and specific loss factor are illustrated in different figures and the salient features are emphasised.

Memory response on thermal wave propagation emanating from a cavity in an unbounded elastic solid

Abstract The present paper deals with the thermal memory response of wave propagation in an unbounded, homogeneous, isotropic elastic body, emanating from a spherical cavity. To analyze the memory response, the generalized heat conduction model with the fractional order as well as memory-dependent-derivatives (MDDs) concepts are considered. The solution space is obtained in Laplace transform domain by using the eigenfunction expansion method to the vector-matrix form of the corresponding governing equations. Finally, a comparison study is furnished for thermal displacement, stresses, and temperature changes in the space-time domain and is presented graphically.

A thermodynamic framework for the evaluation of microdamages in functionally graded medium

ABSTRACT In this article, damaged medium is modeled by the microelongation theory which neglects the micropolar effects in Eringens microstretch theory.Thermal strain, displacement, and microelongation arising from the functionally graded microdamaged material (FGM) in presence of a periodically varying heat source are presented. In this context, the generalized heat conduction equation with two relaxation times is considered. The solution is achieved by the proper usage of integral transforms such as the exponential Fourier transform and the Laplace transform. The variations of microelongation, displacement, and strain are shown graphically in the context of an exponentially varying FGM.

An improved Regula falsi method for finding simple roots of nonlinear equations

Abstract In this note, an improved Regula falsi (IRF) method based on the classical Regula falsi (RF) method is proposed. The method is verified on a number of test examples and numerical results. The proposed method has faster convergence rate with respect to the classical Regula falsi method.