Reflection of thermoelastic wave on the interface of isotropic half-space and tetragonal syngony anisotropic medium of classes 4, 4/
                    <i>m</i>
                    with thermomechanical effect

Ispulov, Nurlybek A.; Qadir, Abdul; Shah, Manan; Seythanova, Ainur K; Kissikov, T.; Arinov, Erkin

doi:10.1088/1674-1056/25/3/038102

Cited by 6 publications

(8 citation statements)

References 6 publications

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“…Thus we have obtained the structure of the matricant of Maxwell's equations and the roots of dispersion equation (18). Now we analyze the roots of the dispersion equation.…”

Section: Discussionmentioning

confidence: 99%

“…Thus, dispersion equations ( 21) in the analytical form have been derived from the structure of the matricant of Maxwell's equations ( 6)-( 9) and characteristic equation (18).…”

Section: Discussionmentioning

confidence: 99%

“…It was shown that these SEV are effectively generated by the attenuated total reflection method. Processes in elastic anisotropic and anisotropic dielectric media and propagation of waves in anisotropic plates, electromagnetic waves in media with magnetoelectric effect [14][15][16][17], and waves in liquid crystals and thermoelastic media [18][19][20] were considered in [13] using the matricant method. Results of uniform description of wave processes in media with different physicomechanical properties were reported at the XVth All-Russian School-Seminar "Physics and Application of Microwaves" named after A. P. Sukhorukov (Waves-2016) [21].…”

Section: Introductionmentioning

confidence: 99%

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Propagation of Electromagnetic Waves in Cholesteric Liquid Crystals

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Fundamental properties of solutions of Maxwell's equations describing the propagation of electromagnetic waves in a cholesteric liquid crystal with tensor characteristics depending on one of the spatial coordinates (the Z-axis is chosen) are investigated. The matrix of the coefficients, the structure of the matrix of Maxwell's equations, and the dispersion equations for an anisotropic liquid cholesteric medium are obtained.

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“…Thus we have obtained the structure of the matricant of Maxwell's equations and the roots of dispersion equation (18). Now we analyze the roots of the dispersion equation.…”

Section: Discussionmentioning

confidence: 99%

“…Thus, dispersion equations ( 21) in the analytical form have been derived from the structure of the matricant of Maxwell's equations ( 6)-( 9) and characteristic equation (18).…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Propagation of Electromagnetic Waves in Cholesteric Liquid Crystals

et al. 2021

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“…The matriciant method has also been employed to analytically investigate the problems of reflection and refraction of waves on the interface of homogenous anisotropic thermoelastic mediums [10]. Table 1 Crystal system…”

Section: Introductionmentioning

confidence: 99%

The Propagation of Thermoelastic Waves in Anisotropic Media of Orthorhombic, Hexagonal, and Tetragonal Syngonies

Ispulov

Qadir

Zhukenov

et al. 2017

Advances in Mathematical Physics

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The investigation of wave propagation in elastic medium with thermomechanical effects is bound to have important economic implications in the field of composite materials, seismology, geophysics, and so on. In this article, thermoelastic wave propagation in anisotropic mediums of orthorhombic and hexagonal syngony having heterogeneity along -axis is studied. Such medium has second-order axis symmetry. By using analytical matriciant method, a set of equations of motions in thermoelastic medium are reduced to an equivalent set of the first-order differential equations. In the general case, for the given set of equations, structures of fundamental solutions are made and dispersion relations are obtained.

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“…The applications of matrizant method for nondestructive testing and wave propagation in thermoelastic media are considered [22].…”

Section: Introductionmentioning

confidence: 99%

The Analytical Form of the Dispersion Equation of Elastic Waves in Periodically Inhomogeneous Medium of Different Classes of Crystals

Ispulov

Qadir

Zhukenov

et al. 2017

Advances in Mathematical Physics

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The investigation of thermoelastic wave propagation in elastic media is bound to have much influence in the fields of material science, geophysics, seismology, and so on. The heat conduction equations and bound equations of motions differ by the difficulty level and presence of many physical and mechanical parameters in them. Therefore thermoelasticity is being extensively studied and developed. In this paper by using analytical matrizant method set of equation of motions in elastic media are reduced to equivalent set of first-order differential equations. Moreover, for given set of equations, the structure of fundamental solutions for the general case has been derived and also dispersion relations are obtained.

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Reflection of thermoelastic wave on the interface of isotropic half-space and tetragonal syngony anisotropic medium of classes 4, 4/ m with thermomechanical effect

Cited by 6 publications

References 6 publications

Propagation of Electromagnetic Waves in Cholesteric Liquid Crystals

Propagation of Electromagnetic Waves in Cholesteric Liquid Crystals

The Propagation of Thermoelastic Waves in Anisotropic Media of Orthorhombic, Hexagonal, and Tetragonal Syngonies

The Analytical Form of the Dispersion Equation of Elastic Waves in Periodically Inhomogeneous Medium of Different Classes of Crystals

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