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### Singh, Baljeet

- Propagation of Surface Waves in an Anisotropic Two-Temperature Generalized Thermoelastic Medium

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1 Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh, 160011, IN

2 Department of Mathematics, Faculty of Applied Sciences, Shanti Niketan College of Engg., Ladwa, Hisar, 125 001, IN

#### Authors

**Affiliations**

1 Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh, 160011, IN

2 Department of Mathematics, Faculty of Applied Sciences, Shanti Niketan College of Engg., Ladwa, Hisar, 125 001, IN

#### Source

The Journal of the Indian Mathematical Society, Vol 80, No 3-4 (2013), Pagination: 357-365#### Abstract

In the present paper, the surface wave propagation in an anisotropic two-temperature generalized thermoelasticity is studied. The governing equations are solved to obtain the general solution in x-z plane. The required boundary conditions at an interface between two dissimilar half spaces are satisfied by the appropriate particular solutions to obtain the frequency equation of the surface wave in the medium. Some special cases are also discussed.#### Keywords

Surface Waves, Two-Temperature, Thermoelasticity, Anisotropy, Frequency Equation.- Propagation of Waves in an Incompressible Microstretch Solid

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1 Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh--160011, IN

#### Authors

Baljeet Singh

^{1}**Affiliations**

1 Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh--160011, IN

#### Source

Research Journal of Engineering and Technology, Vol 3, No 2 (2012), Pagination: 120-123#### Abstract

In the present paper, the governing equations of isotropic linear incompressible microstretch solid are solved for plane wave solutions in x-z plane (i) when the displacement vector u= (u_{1},0,u

_{3})and the microrotation vectorΦ= (0,Φ

_{2},0) and, (ii) when the displacement vector = (0,u

_{2},0) and the microrotation vector Φ= (Φ

_{1},0,Φ

_{3}). It is found that there exist four plane waves with distinct speeds in an isotropic linear incompressible microstretch solid. The speeds of the plane waves depend on various material parameters. The speeds of plane waves are computed numerically for a particular material and are shown graphically against the non-dimensional frequency.

#### Keywords

Incompressible Microstretch Solid, Microrotation, Plane Waves.- Effect of Impedance Boundary on Reflection of Plane Waves from Free Surface of a Rotating Thermoelastic Solid Half Space

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1 Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh, IN

2 Department of Mathematics, School of Chemical Engineering and Physical Science, Lovely Professional University, Phagwara-Punjab, IN

#### Authors

**Affiliations**

1 Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh, IN

2 Department of Mathematics, School of Chemical Engineering and Physical Science, Lovely Professional University, Phagwara-Punjab, IN

#### Source

Research Journal of Engineering and Technology, Vol 8, No 4 (2017), Pagination: 405-408#### Abstract

The coupled partial differential equations governing a rotating thermoelastic medium in context of Lord and Shulman theory are solved for plane wave solutions. A cubic velocity equation is obtained, which correspond to the speeds of propagation of three coupled plane waves. A reflection phenomenon is considered in a rotating thermoelastic solid half-space for incidence of a coupled plane wave. The plane surface of the half-space is subjected to impedance boundary conditions, where normal and tangential tractions are proportional to normal and tangential displacement components time frequency, respectively. The expressions for energy ratios of all reflected waves are obtained and computed numerically for a particular material representing the medium. The dependence of energy ratios on rotation parameter, impedance parameters and angle of incidence is shown graphically.#### Keywords

Generalized Thermoelasticity, Impedance Boundary, Reflection, Energy Ratios, Rotation.#### References

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