Journal ArticleDOI
Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer
Mitali Bachher,Nantu Sarkar +1 more
TLDR
In this paper, a nonlocal theory of generalized thermoelastic materials with voids based on Eringen's nonlocal elasticity and Caputo fractional derivative is established.Abstract:
A new nonlocal theory of generalized thermoelastic materials with voids based on Eringen’s nonlocal elasticity and Caputo fractional derivative is established. The one-dimensional form of the above...read more
Citations
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Transient disturbances in a nonlocal functionally graded thermoelastic solid under Green–Lindsay model
TL;DR: In this article, the authors analyze the two-dimensional disturbances in a nonlocal, functionally graded, isotropic thermoelastic medium under the purview of the Green-Lindsay model of generalized thermodynamic properties.
Fundamental and plane wave solution in non-local bio-thermoelasticity diffusion theory
TL;DR: In this article, a dynamic model for a non-local bio-thermoelastic medium with diffusion was designed in terms of displacement vector field, chemical potential and tissue temperature in the context of non local dual phase lag theories of heat conduction and mass diffusion.
Journal ArticleDOI
Photothermal excitation of an initially stressed nonlocal semiconducting double porous thermoelastic material under fractional order triple-phase-lag theory
TL;DR: In this article , the photothermal excitation process in an initially stressed semi-infinite double porous thermoelastic semiconductor with voids was investigated under Eringen's nonlocal elasticity theory under the fractional order triple-phase-lag thermelasticity theory.
Journal ArticleDOI
Griffith crack analysis in nonlocal magneto-elastic strip using Daubechies wavelets
TL;DR: In this article , the authors employed the Daubechies wavelet approximation to analyze the Griffith crack in nonlocal magneto-elastic horizontally shear (SH) wave propagation.
Journal ArticleDOI
Plane waves in nonlocal viscothermoelastic medium with temperature-dependent properties under three-phase-lag theory
TL;DR: In this paper, the propagation of plane waves in a homogeneous, isotropic, nonlocal viscothermoelastic half space with temperature-dependent properties was studied, and the authors dealt with the study of plane wave propagation in the context of temperature dependent properties.
References
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Book
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Journal ArticleDOI
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Journal ArticleDOI
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Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids
Journal ArticleDOI
Fractional heat conduction equation and associated thermal stress
TL;DR: A quasi-static uncoupled theory of thermoelasticity based on the heat conduction equation with a time-fractional derivative of order α is proposed in this article.