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Singh, Baljeet
- 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
1 Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh--160011, IN
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Research Journal of Engineering and Technology, Vol 3, No 2 (2012), Pagination: 120-123Abstract
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= (u1,0,u3)and the microrotation vectorΦ= (0,Φ2,0) and, (ii) when the displacement vector = (0,u2,0) and the microrotation vector Φ= (Φ1,0,Φ3). 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
Abstract Views :392 |
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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
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: 405-408Abstract
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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