Generalized thermoelastic waves in spherical curved plates without energy dissipation

Yu, Jiangong; Xue, Tonglong

doi:10.1007/s00707-009-0238-4

Cited by 19 publications

(3 citation statements)

References 33 publications

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“…Othman and Singh [16] have studied the equations of a 2-D problem in a micro-polar thermoelastic medium for a half-space whose surface is free and subjected to an instantaneous thermal point source. Jiangong and Tonglong [12] have used the G-N generalized thermoelastic theory without energy dissipation to investigate the propagation of thermoelastic waves in orthotropic spherical curved plates subjected to stress-free, isothermal boundary conditions. Mukhopadhyay and Kumar [15] have formulated the state-space approach to the problems of thermoelastic interactions on the basis of the G-N theory of generalized thermoelasticity of type-III with energy dissipation.…”

Section: Introductionmentioning

confidence: 99%

Two-Dimensional Coupled Solution for Thermoelastic Beams via Generalized Dual-Phase-Lags Model

Zenkour

2016

Mathematical Modelling and Analysis

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The generalized thermoelastic problem of a thick-walled simply-supported beam subjected to different applied heat source and mechanical loads at its surfaces is studied. The thermoelastic coupling differential equations of motion of the beam are established. The generalized thermoelasticity based on the dual-phase-lags (DPLs) theory is considered to treat this problem. An exact 2-D coupled solution is presented to deduce analytical expressions for the temperature, displacements and stresses. The time-harmonic motion behavior as well as the thermal and mechanical conditions at the bounded faces of the beam is used for this purpose. The effect of the DPLs on the field quantities against the axial and normal directions of the beam under thermomechanical loads is discussed. Final investigations to various thermoelastic models are made.

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Section: Introductionmentioning

confidence: 99%

Two-Dimensional Coupled Solution for Thermoelastic Beams via Generalized Dual-Phase-Lags Model

Zenkour

2016

Mathematical Modelling and Analysis

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“…Hosseini and Abolbashari (2010) proposed general analytical solution for elastic radial wave propagation and dynamic analysis of functionally graded thick hollow cylinders subjected to impact loading. Jiangong and Tonglong (2010) studied generalized thermoelastic waves in spherical curved plates without energy dissipation. Othman and Abbas (2012) discussed thermal shock problem in a non-homogeneous isotropic hollow cylinder with energy dissipation.…”

Section: Introductionmentioning

confidence: 99%

A thermodynamic framework to analyze the thermal shock response in an anisotropic hollow cylinder with energy dissipation

Biswas

Shaw

2018

MMMS

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Purpose The purpose of this paper is to analyze the thermal shock response on the deformation of circular hollow cylinder in a thermodynamically consistent manner. Design/methodology/approach The investigation is carried out under the light of generalized thermoelasticity theory with energy dissipation. In order to obtain the analytical expressions of the components of stress and strain fields, appropriate integral transform technique is adopted and the salient features are emphasized. Findings It has been observed that the existence of energy dissipation can minimize the development of the stress components into the cylindrical wall. Since more amount of heat is propagate into the medium in a short period of time consequently, the medium deformed in a high rate in presence of energy dissipation. Two special phenomena are also revealed in the particular cases. Originality/value The numerical simulated results are demonstrated through a numerous diagrams and some important observations are explained. This work may be helpful for those researchers who are devoted on several types of heat or fluid flow into the pipeline made with anisotropic solids.

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“…In the high velocities of modern aircraft give rise to aerodynamic heating, which produces intense thermal stresses that reduce the strength of the aircraft structure. The counterparts of our problem in the contexts of the thermoelasticity theories have been considered by using numerical and analytical methods (Mukhopadhyay, 2006;Mukhopadhyay and Kumar, 2009;Jiangong and Tonglong, 2010;Kumar and Chawla, 2010;Abbas et al, 2011;Abo-Dahab and Abbas, 2011;Abbas, 2011;2012;2013;2014a;2014b;2014c;Abbas and AboDahab, 2014;Abbas and Zenkour, 2014). In which, Abbas solved different problems by eigenvalue approach in the Laplace transformation domain.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic interactions in an isotropic unbounded medium due to moving heat source using GNIII model

Abbas

2015

Lat. Am. j. solids struct.

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In this work, we study a problem of thermoelastic interaction due to moving heat source in an isotropic infinite medium under Green and Naghdi model of type III (GNIII). The form of vector-matrix differential equation in the Laplace transform domain, the basic equations have been written, which is then solved by an eigenvalue technique. The analytical solution in the Laplace transforms domain with eigenvalue approach has been obtained. Numerical results for the displacement, temperature and the stress distributions are represented graphically. Some comparisons have been shown in figures to estimate the effect of heat source velocity and time in the physical quintets.

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Generalized thermoelastic waves in spherical curved plates without energy dissipation

Cited by 19 publications

References 33 publications

Two-Dimensional Coupled Solution for Thermoelastic Beams via Generalized Dual-Phase-Lags Model

Two-Dimensional Coupled Solution for Thermoelastic Beams via Generalized Dual-Phase-Lags Model

A thermodynamic framework to analyze the thermal shock response in an anisotropic hollow cylinder with energy dissipation

Thermoelastic interactions in an isotropic unbounded medium due to moving heat source using GNIII model

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