Wave scattering of plane wave at the loosely bonded interface of two dissimilar rotating triclinic magneto-thermoelastic media under nonlinear thermoelasticity and DPL model

Karmakar, Santanu Kumar; Sahu, Sanjeev A.; Goyal, Suman

doi:10.1080/01495739.2022.2102555

Cited by 3 publications

(1 citation statement)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These authors commented on the eects of nonlinearity of the model. Karmakar et al [37] investigated wave scattering at the loosely bonded interface of two dissimilar rotating magneto-thermoelastic media under nonlinear thermoelasticity and dual-phase-lag model. Existence of smooth solutions and blowup of solutions of nonlinear problems of thermodynamics and thermoelasticity within extended thermodynamics were investigated in [38,39].…”

Section: Introductionmentioning

confidence: 99%

One-dimensional nonlinear model of generalized thermo-electroelasticity

Ghaleb

Ahmed²,

Mosharafa

2023

Preprint

View full text Add to dashboard Cite

We investigate a one-dimensional restriction of a nonlinear model of thermo-electroelasticity in extended thermodynamics and in the quasi-electrostatic regime (see [25]). An additional dependence of the thermal conductivity and the thermal relaxation time on temperature and heat flux is introduced. The aim of the present work is to assess the effect of some quadratic nonlinear couplings between the mechanical, thermal and electric fields. Such couplings are known to have a crucial effect on the stability of the solutions. It is confirmed that there are two speeds of wave propagation of disturbances, the coupled thermoelastic wave and the heat wave. Formulae are provided for both speeds, showing their explicit dependence on temperature, heat flux and electric field. The purely thermal case is briefly considered. The present results may be useful for the description of a broad range of interactions in polarizable materials and for the design of such materials.

show abstract

Section: Introductionmentioning

confidence: 99%

One-dimensional nonlinear model of generalized thermo-electroelasticity

Ghaleb

Ahmed²,

Mosharafa

2023

Preprint

View full text Add to dashboard Cite

show abstract

One-dimensional nonlinear model of generalized thermo-electroelasticity

2023

View full text Add to dashboard Cite

We investigate a one-dimensional restriction of a nonlinear model of thermo-electroelasticity in extended thermodynamics and in the quasi-electrostatic regime (see Ghaleb et al. in Int J Eng Sci 119:29–39, 2017. https://doi.org/10.1016/j.ijengsci.2017.06.010). An additional dependence of the thermal conductivity and the thermal relaxation time on temperature and heat flux is introduced. The aim of the present work is to assess the effect of some quadratic nonlinear couplings between the mechanical, thermal and electric fields. Such couplings are known to have a crucial effect on the stability of the solutions. It is confirmed that there are two speeds of wave propagation of disturbances, the coupled thermoelastic wave and the heat wave. Formulae are provided for both speeds, showing their explicit dependence on temperature, heat flux and electric field. The purely thermal case is briefly considered. The present results may be useful for the description of a broad range of interactions in large polarizable slabs of electro-thermoelastic materials and for the design of such materials.

show abstract

Plane wave reflection in micro-structural piezomagnetic-flexomagnetic solid with impedance boundary conditions

Biswas,

Sahu

2023

Mechanics Based Design of Structures and Machines

View full text Add to dashboard Cite

Wave scattering of plane wave at the loosely bonded interface of two dissimilar rotating triclinic magneto-thermoelastic media under nonlinear thermoelasticity and DPL model

Cited by 3 publications

References 25 publications

One-dimensional nonlinear model of generalized thermo-electroelasticity

One-dimensional nonlinear model of generalized thermo-electroelasticity

One-dimensional nonlinear model of generalized thermo-electroelasticity

Plane wave reflection in micro-structural piezomagnetic-flexomagnetic solid with impedance boundary conditions

Contact Info

Product

Resources

About