Thermoelastic interaction in a thermally conducting cubic crystal subjected to ramp-type heating

Abbas, Ibrahim A.; Kumar, Rajneesh; Rani, Leena

doi:10.1016/j.amc.2014.12.111

Cited by 12 publications

(8 citation statements)

References 34 publications

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“…He and Shi (2014) studied effect of temperature-dependent properties on thermoelastic problems with thermal relaxations. Abbas et al (2015) discussed thermoelastic interaction in a thermally conducting cubic crystal subjected to ramp-type heating. El-Karamany and Ezzat (2016) proposed three models of generalized thermoelasticity: a single-phase-lag Green-Naghdi theory of type III, a dual-phase-lag Green-Naghdi theory of type II and of type III for linear anisotropic inhomogeneous material.…”

Section: Introductionmentioning

confidence: 99%

Response of ramp-type heating in a monoclinic generalized thermoelastic material

Rani

Shekhar

2020

MMMS

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PurposeThe two-dimensional deformation of a homogeneous, thermally conducting, monoclinic material has been studied by using Laplace and Fourier transforms technique. A linear temperature ramping function is used to more realistically model: thermal loading of the half-space surface. The general solution obtained is applied to a specific problem of a half-space subjected to ramp-type heating and loading. The displacements, stresses and temperature distribution so obtained in the physical domain are computed numerically and illustrated graphically. The comparison for Lord-Shulman (L-S), Green and Lindsay (G–L), Green and Naghdi (G–N) and Chandrasekharaiah and Tzou (CTU) theories have been shown graphically to estimate the effect of ramping parameter of heating for an insulated and temperature gradient boundaries.Design/methodology/approachThe design of the study is eigenvalue approachFindingsHomogeneous, thermally conducting monoclinic material has been taken under consideration to study the effect of linear temperature ramping parameter on temperature and normal displacement field. It is observed that magnitude of field quantities is large near the point of application of source for the non-dimensional values of time in all the four models. The numerical values for the field quantities are computed graphically for a wide range of values of finite pulse rise-time in the two situations t0 < t, t0 > t for generalized thermoelasticity theories.Originality/value(1) Governing equations for homogeneous, t0 thermally conducting, monoclinic material are described and solved. (2) Eigen value approach is used to solve the problem. (3) The effect of ramping parameter of heating has been studied for various models of the thermoelasticity to show the comparision between them.

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Section: Introductionmentioning

confidence: 99%

Response of ramp-type heating in a monoclinic generalized thermoelastic material

Rani

Shekhar

2020

MMMS

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“…internal energy, enthalpy and Gibbs free energy. Abbas et al [26] studied ramp-type heating in a thermally conducting cubic crystal. Abbas [27] considered the problem of a thermoelastic infinite body with a spherical cavity in the context of the theory of fractional order thermoelasticity and discussed analytical solutions by using the eigen value approach and then graphically presented the effect of fractional parameters on physical quantities.…”

Section: Introductionmentioning

confidence: 99%

Thermal Disturbances in Twinned Orthotropic Thermoelastic Material

Rani

Singh

2018

International Journal of Applied Mechanics and Engineering

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This paper deals with deformation in homogeneous, thermally conducting, single-crystal orthotropic twins, bounded symmetrically along a plane containing only one common crystallographic axis. The Fourier transforms technique is applied to basic equations to form a vector matrix differential equation, which is then solved by the eigen value approach. The solution obtained is applied to specific problems of an orthotropic twin crystal subjected to triangular loading. The components of displacement, stresses and temperature distribution so obtained in the physical domain are computed numerically. A numerical inversion technique has been used to obtain the components in the physical domain. Particular cases as quasi-static thermo-elastic and static thermoelastic as well as special cases are also discussed in the context of the problem.

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“…The effects of hall current and rotation in a modified couple stress theory subjected to the ramp type loading in the context of theory of generalized thermoelastic diffusion was presented by Kumar and Devi (2015). Thermoelastic interaction in a thermally conducting cubic crystal subjected to the ramp-type heating was investigated by Abbas et al (2015). Reddy et al (2016) discussed the problem of functionally graded circular plates with the modified couple stress theory by using the finite element method.…”

Section: Introductionmentioning

confidence: 99%

Eigenvalue approach to nanobeam in modified couple stress thermoelastic with three-phase-lag model induced by ramp type heating

Kumar

Devi

2017

jtam

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This article deals with the study of a thermoelastic nanobeam in a modified couple stress theory subjected to ramp-type heating. The mathematical model is prepared for the nanobeam in thermoelastic three-phase-lag. The Laplace transform and the eigenvalue approach are used to find the displacement component, lateral deflection, temperature change and axial stress of the thermoelastic beam. The general algorithm of the inverse Laplace transform is developed to compute results numerically. The comparison of three-phase-lag, dual-phaselag and GN-III (1993) models are represented, and their illustration is depicted graphically. This study finds the applications in engineering, medical science, sensors, etc.

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Thermoelastic interaction in a thermally conducting cubic crystal subjected to ramp-type heating

Cited by 12 publications

References 34 publications

Response of ramp-type heating in a monoclinic generalized thermoelastic material

Response of ramp-type heating in a monoclinic generalized thermoelastic material

Thermal Disturbances in Twinned Orthotropic Thermoelastic Material

Eigenvalue approach to nanobeam in modified couple stress thermoelastic with three-phase-lag model induced by ramp type heating

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