scholarly journals A two-dimensional problem of a mode-I crack in a rotating fibre-reinforced isotropic thermoelastic medium under dual-phase-lag model

Sadhana ◽  
2018 ◽  
Vol 43 (1) ◽  
Author(s):  
AHMED E ABOUELREGAL ◽  
S M ABO-DAHAB
Keyword(s):  
Mode I ◽  
Phase Lag ◽  
Dual Phase ◽  
Mode I Crack ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Thermoelastic Medium ◽  
Lag Model

Eigen value approach for dual phase lag micropolar porous thermoelastic circular plate with ramp type heating

2017 ◽  
Vol 13 (4) ◽  
pp. 550-567
Author(s):  
Rajneesh Kumar ◽  
Priyanka Kaushal ◽  
Rajni Sharma
Keyword(s):  
Circular Plate ◽  
Volume Fraction ◽  
Phase Lag ◽  
Dual Phase ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Content Type ◽  
Three Phase ◽  
Eigen Value ◽  
Lag Model

Purpose The purpose of this paper is to investigate a two dimensional problem of micropolar porous thermoelastic circular plate subjected to ramp type heating. Design/methodology/approach Three phase lag theory of thermoelasticity has been used to formulate the problem. A numerical inversion technique is applied to obtain the result in the physical domain. The numerical values of the resulting quantities are presented graphically to show the effect of porosity and dual phase lag model. Some particular cases are also presented. Findings The Laplace and Hankel transforms are employed followed by the eigen value approach to obtain the components of displacements, microrotation, volume fraction field, temperature distribution and stresses in the transformed domain. Originality/value This paper fulfils the need to study the two-dimensional problem of micropolar porous thermoelastic circular plate subjected to ramp type heating.

An investigation on a two-dimensional problem of Mode-I crack in a thermoelastic medium

2018 ◽  
Vol 69 (2) ◽  
Author(s):  
Shashi Kant ◽  
Manushi Gupta ◽  
Om Namha Shivay ◽  
Santwana Mukhopadhyay
Keyword(s):  
Mode I ◽  
Mode I Crack ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Thermoelastic Medium

A two-dimensional problem of a mode I crack in a type III thermoelastic medium

2012 ◽  
Vol 18 (5) ◽  
pp. 506-523 ◽  
Author(s):  
Rajesh Prasad ◽  
Subir Das ◽  
Santwana Mukhopadhyay
Keyword(s):  
Mode I ◽  
Mode I Crack ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Thermoelastic Medium ◽  
Type Iii

Generalized thermoelastic interaction in a two-dimensional porous medium under dual phase lag model

2020 ◽  
Vol 30 (11) ◽  
pp. 4865-4881 ◽  
Author(s):  
Aatef Hobiny ◽  
Ibrahim Abbas
Keyword(s):  
Porous Medium ◽  
Volume Fraction ◽  
Phase Lag ◽  
Dual Phase ◽  
Two Dimensional ◽  
Thermoelastic Wave ◽  
Content Type ◽  
Lag Model ◽  
The Difference ◽  
Laplace Transformations

Purpose The purpose of this study is to use the generalized model for thermoelastic wave under the dual phase lag (DPL) model to compute the increment of temperature, the components of displacement, the changes in volume fraction field and the stress components in a two-dimensional (2D) porous medium. Design/methodology/approach Using Fourier and Laplace transformations with the eigenvalue technique, the exact solutions of all physical quantities are obtained. Findings The derived method is evaluated with numerical results, which are applied to the porous medium in a simplified geometry. Originality/value Finally, the outcomes are graphically represented to show the difference among the models of classical dynamical coupled, the Lord and Shulman and DPL.

A Two Dimensional Axisymmetric Thermoelastic Diffusion Problem of Micropolar Porous Circular Plate with Dual Phase Lag Model

2020 ◽  
Vol 22 (4) ◽  
pp. 1389-1406
Author(s):  
Rajneesh Kumar ◽  
Aseem Miglani ◽  
Rekha Rani
Keyword(s):  
Circular Plate ◽  
Chemical Potential ◽  
Volume Fraction ◽  
Diffusion Problem ◽  
Phase Lag ◽  
Dual Phase ◽  
Two Dimensional ◽  
Thermoelastic Diffusion ◽  
Field Temperature ◽  
Lag Model

AbstractIn the present work, we consider a two dimensional axisymmetric problem of micropolar porous circular plate with thermal and chemical potential sources in the context of the theory of dual phase lag generalized thermoelastic diffusion. The potential functions are used to analyze the problem. The Laplace and Hankel transforms techniques are used to find the expressions of displacements, microrotation, volume fraction field, temperature distribution, concentration and stresses in the transformed domain. The inversion of transforms based on Fourier expansion techniques is applied to obtain the results in the physical domain. The numerical results for resulting quantities are obtained and depicted graphically. Effect of porosity, LS theory and phase lag are presented on the resulting quantities. Some particular cases are also deduced.

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