The Fractional Strain Influence on a Solid Sphere under Hyperbolic Two-Temperature Generalized Thermoelasticity Theory by Using Diagonalization Method
TLDR
In this paper, a mathematical model based on fractional-order deformations for a one-dimensional, thermoelastic, homogenous, and isotropic solid sphere was constructed.Abstract:
This article constructs a mathematical model based on fractional-order deformations for a one-dimensional, thermoelastic, homogenous, and isotropic solid sphere. In the context of the hyperbolic two-temperature generalized thermoelasticity theory, the governing equations have been established. Thermally and without deformation, the sphere’s bounding surface is shocked. The singularities of the functions examined at the center of the world were decreased by using L’Hopital’s rule. Numerical results with different parameter fractional-order values, the double temperature function, radial distance, and time have been graphically illustrated. The two-temperature parameter, radial distance, and time have significant effects on all the studied functions, and the fractional-order parameter influences only mechanical functions. In the hyperbolic two-temperature theory as well as in one-temperature theory (the Lord-Shulman model), thermal and mechanical waves spread at low speeds in the thermoelastic organization.read more
Citations
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Diagonalization Method to Hyperbolic Two-Temperature Generalized Thermoelastic Solid Sphere under Mechanical Damage Effect
TL;DR: In this article, the authors used the diagonalization method for the new modeling of a homogeneous, thermoelastic, and isotropic solid sphere that has been subjected to mechanical damage.
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Dynamic response of a one‐dimensional hexagonal quasicrystal rod in the framework of fractional‐order thermoelasticity
TL;DR: Based on the fractional-order thermoelastic theory, the dynamic response of a finite quasicrystal (QC) rod fixed at both ends and subjected to a moving heat source is analyzed in this paper .
Journal ArticleDOI
Impact of fractional strain on medium containing spherical cavity in the framework of generalized thermoviscoelastic diffusion
TL;DR: In this paper , the behavior of field variables under thermoelastic models with different fractional order strain, ramping, and viscosity parameters was analyzed for an infinite, homogeneous, isotropic medium containing a spherical cavity.
Journal ArticleDOI
Influence of the fractional-order strain on an infinite material with a spherical cavity under Green-Naghdi hyperbolic two-temperature thermoelasticity theory
TL;DR: In this article , a novel mathematical model of thermoelastic, homogenous, isotropic, and infinite medium with a spherical cavity has been constructed, and the governing equations have been established under the hyperbolic two-temperature Green-Naghdi theory with fractional-order strain.
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