Journal ArticleDOI
Plane waves in a fractional order micropolar magneto-thermoelastic half-space
Sunita Deswal,Kapil Kumar Kalkal +1 more
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In this article, the Laplace-Fourier double transform was used to solve the resulting non-dimensional coupled field equations and expressions for displacements, stresses and temperature in the physical domain were obtained using a numerical inversion technique.About:
This article is published in Wave Motion.The article was published on 2014-01-01. It has received 33 citations till now. The article focuses on the topics: Thermoelastic damping & Second sound.read more
Citations
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An Eigenvalues Approach for a Two-Dimensional Porous Medium Based Upon Weak, Normal and Strong Thermal Conductivities
TL;DR: This work is devoted to the investigation of a two-dimensional porous material under weak, strong and normal conductivity, using the eigenvalues method, and the derived technique is assessed with numerical results that are obtained from the porous mediums using simplified symmetric geometry.
Journal ArticleDOI
Two-dimensional magneto-thermoelastic interactions in a micropolar functionally graded solid
TL;DR: In this article, the 2D deformation in a nonhomogeneous, isotropic, micropolar, magneto-thermoelastic medium in the context of Lord-Shulman theory was studied.
Journal ArticleDOI
Reflection of plane waves in a nonlocal micropolar thermoelastic medium under the effect of rotation
TL;DR: In this paper, the reflection of plane waves at the free surface of a homogeneous, isotropic, nonlocal, micropolar rotating thermoelastic medium is investigated.
Journal ArticleDOI
Eigenvalue approach to two dimensional coupled magneto-thermoelasticity in a rotating isotropic medium
F. S. Bayones,A. M. Abd-Alla +1 more
TL;DR: In this article, normal mode analysis and eigenvalue approach techniques are applied to solve the problem of two-dimensional problem of thermoelasticity dealing with thermo-elastic wave propagation in a rotating medium with magnetic field effects and a time-dependent heat source effect due to thermomechanical source.
Journal ArticleDOI
Plane wave propagation in a fiber-reinforced diffusive magneto-thermoelastic half space with two-temperature
TL;DR: In this article, the characteristics of reflected waves in a homogeneous anisotropic fiber-reinforced magneto-thermo-elastic diffusive solid under dual-phase lag theory were studied.
References
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Book
An Introduction to the Fractional Calculus and Fractional Differential Equations
Kenneth S. Miller,Bertram Ross +1 more
TL;DR: The Riemann-Liouville Fractional Integral Integral Calculus as discussed by the authors is a fractional integral integral calculus with integral integral components, and the Weyl fractional calculus has integral components.
Journal ArticleDOI
Linear Models of Dissipation whose Q is almost Frequency Independent-II
TL;DR: In this paper, a linear dissipative mechanism whose Q is almost frequency independent over large frequency ranges has been investigated by introducing fractional derivatives in the stressstrain relation, and a rigorous proof of the formulae to be used in obtaining the analytic expression of Q is given.
Journal ArticleDOI
A generalized dynamical theory of thermoelasticity
TL;DR: In this article, a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of heat flow.
ReportDOI
Linear theory of micropolar elasticity
TL;DR: In this article, a special class of micro-elastic materials called Micropolar Solids are presented for couple stress and distributed body couples, and the couple stress theory is shown to emanate as a spacial case of the present theory.