Figure 1 - available via license: Creative Commons Attribution 4.0 International
Content may be subject to copyright.
Source publication
This study is the first to use the diagonalization method for the new modelling of a homogeneous, thermoelastic, and isotropic solid sphere that has been subjected to mechanical damage. The fundamental equations were derived using the hyperbolic two-temperature generalized thermoelasticity theory with mechanical damage taken into account. The outer...
Contexts in source publication
Context 1
... a perfect conducting, isotropic, and thermoelastic spherical body that fills the region Λ = {(r, ψ, φ) : 0 ≤ r ≤ a, 0 ≤ ψ ≤ 2π, 0 ≤ φ < 2π }. We use the spherical coordinates system (r, ψ, φ), where r denotes the radial co-ordinate, ψ denotes the colatitude, and φ indicates the longitude of a spherical coordinate system, respectively, as seen in Figure 1. We assume the sum of the external forces is zero and that it is initially quiescent. ...
Context 2
... essential equation of motion is Figure 1. The isotropic homogeneous thermoelastic solid sphere. ...
Context 3
... rise in the mechanical damage value allows the absolute value of the volumetric strain to decrease. Figure 10 indicates a significant influence on the displacement distribution of the mechanical damage component-a rise in the mechanical damage variable results in a reduction in the absolute displacement value. Figure 11 indicates a significant influence on the average stress distribution of the mechanical damage variable. ...
Context 4
... 10 indicates a significant influence on the displacement distribution of the mechanical damage component-a rise in the mechanical damage variable results in a reduction in the absolute displacement value. Figure 11 indicates a significant influence on the average stress distribution of the mechanical damage variable. A rise in the value of the mechanical damage parameter leads to a decrease in average stress absolute value. . ...
Context 5
... rise in the mechanical damage value allows the absolute value of the volumetric strain to decrease. Figure 10 indicates a significant influence on the displacement distribution of the mechanical damage component-a rise in the mechanical damage variable results in a reduction in the absolute displacement value. Figure 11 indicates a significant influence on the average stress distribution of the mechanical damage variable. ...
Context 6
... 10 indicates a significant influence on the displacement distribution of the mechanical damage component-a rise in the mechanical damage variable results in a reduction in the absolute displacement value. Figure 11 indicates a significant influence on the average stress distribution of the mechanical damage variable. A rise in the value of the mechanical damage parameter leads to a decrease in average stress absolute value. ...
Context 7
... rise in the mechanical damage value allows the absolute value of the volumetric strain to decrease. Figure 10 indicates a significant influence on the displacement distribution of the mechanical damage component-a rise in the mechanical damage variable results in a reduction in the absolute displacement value. Figure 11 indicates a significant influence on the average stress distribution of the mechanical damage variable. ...
Context 8
... 10 indicates a significant influence on the displacement distribution of the mechanical damage component-a rise in the mechanical damage variable results in a reduction in the absolute displacement value. Figure 11 indicates a significant influence on the average stress distribution of the mechanical damage variable. A rise in the value of the mechanical damage parameter leads to a decrease in average stress absolute value. . ...
Similar publications
The paper dealt with the thermoelastic responses of biological tissues subjected to an abrupt input of temperature load in the context of generalized thermoelasticity with three phase lag times. A modified thermoelastic model with three phase lag times was proposed to resolve the discrepancy between the three-phase-lag thermoelastic model and exist...
Citations
... Saeed and Abbas [10] studied the hyperbolic two-temperature photothermal interaction in semiconducting mediums. Al-Lehaibi [11] studied the diagonalizations approach to hyperbolic two-temperature thermoelastic solid spheres under mechanical damage effects. Abbas et al. [12] discussed the hyperbolic two-temperature photothermal interactions in semiconducting materials with cylindrical holes. ...
This article focuses on the study of redial displacement, the carrier density, the conductive and thermodynamic temperatures and the stresses in a semiconductor medium with a spherical hole. This study deals with photo-thermoelastic interactions in a semiconductor material containing a spherical cavity. The new hyperbolic theory of two temperatures with one-time delay is used. The internal surface of the cavity is constrained and the density of carriers is photogenerated by a heat flux at the exponentially decreasing pulse boundaries. The analytical solutions by the eigenvalues approach under the Laplace transformation approaches are used to obtain the solution of the problem and the inversion of the Laplace transformations is performed numerically. Numerical results for semiconductor materials are presented graphically and discussed to show the variations of physical quantities under the present model.
An axisymmetric problem in micropolar thermoelastic model based on the Moore-Gibson-Thompson heat equation (MGT) under non-local and hyperbolic two-temperature (HTT) is explored due to mechanical loading. After transforming the system of equations into dimensionless form and employing potential functions, a new set of governing equations are solved using Laplace and Hankel transforms. A specific set of restrictions are applied on the boundary in the form of ring load and disk load for examining the significance of the problem. The transformed form of components of displacement, stresses, tangential couple stress, conductive temperature, and thermodynamic temperature are obtained. A numerical inversion technique is applied to recover the physical quantities in the original domain. The graphic representation of numerical findings for stress components, tangential couple stress, and conductive temperature reveals the impact of non-local and HTT parameters. Certain cases of interest are drawn out. Physical views presented in the article may be useful for the composition of new materials, geophysics, earthquake engineering, and other scientific disciplines.
