Diffusion in a generalized thermoelastic solid in an infinite body with a cylindrical cavity

Sharma, J. N.; Kumari, Nisha; Sharma, Kunal

doi:10.1134/s0021894413050155

Cited by 9 publications

(2 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[16,17] studied the theory of generalized thermoelastic diffusion in an infinite elastic body with a spherical cavity while [18,19] investigated the diffusion in a generalized thermoelastic solid in an infinite body with a cylindrical cavity. Abbas et al [20] studied the response of thermal source in a transversely isotropic thermoelastic halfspace with mass diffusion by using a finite element method.…”

Section: Introductionmentioning

confidence: 99%

Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity

Abbas

2015

Applied Mathematical Modelling

View full text Add to dashboard Cite

Please cite this article as: I.A. Abbas, Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity, Appl. Math. Modelling (2015), doi: http://dx. Abstract:In this work, we study a problem in a fractional order theory of thermoelastic diffusion in an infinite medium with a spherical cavity at an elevated temperature field arising out of a ramptype heating and loading bounding surface of the cavity. The chemical potential is assumed a known function of time on the bounding cavity. 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 domain is obtained for the displacement, the temperature, the concentration, the stress components and chemical potential.Numerical results represented graphically.

show abstract

Section: Introductionmentioning

confidence: 99%

Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity

Abbas

2015

Applied Mathematical Modelling

View full text Add to dashboard Cite

show abstract

“…A lot of infinite bodies having cylindrical cavities may be exposed to either continuous heat source, ramp-type heating effect, or thermal shock. Sharma et al [25] considered one-dimensional elasto-thermo-diffusive communications in an infinite solid containing a cylindrical hole under the action of a continuous heat source utilizing the L-S theory. Mukhopadhyay and Kumar [26] analyzed the thermoelastic communications in a medium having a cylindrical hole under a ramp-type heating effect using various models.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Coupling Response of an Unbounded Solid with a Cylindrical Cavity Due to a Moving Heat Source

2021

View full text Add to dashboard Cite

The current article introduces the thermoelastic coupled response of an unbounded solid with a cylindrical hole under a traveling heat source and harmonically altering heat. A refined dual-phase-lag thermoelasticity theory is used for this purpose. A generalized thermoelastic coupled solution is developed by using Laplace’s transforms technique. Field quantities are graphically displayed and discussed to illustrate the effects of heat source, phase-lag parameters, and the angular frequency of thermal vibration on the field quantities. Some comparisons are made with and without the inclusion of a moving heat source. The outcomes described here using the refined dual-phase-lag thermoelasticity theory are the most accurate and are provided as benchmarks for other researchers.

show abstract

Reflection of waves in a magneto-thermoelastic medium with diffusion in the context of memory-dependent derivative theory

Said

Jahangir

2023

Indian J Phys

View full text Add to dashboard Cite

Diffusion in a generalized thermoelastic solid in an infinite body with a cylindrical cavity

Cited by 9 publications

References 17 publications

Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity

Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity

Thermoelastic Coupling Response of an Unbounded Solid with a Cylindrical Cavity Due to a Moving Heat Source

Reflection of waves in a magneto-thermoelastic medium with diffusion in the context of memory-dependent derivative theory

Contact Info

Product

Resources

About