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Articles

Reflection of coupled waves from the flat boundary surface of a nonlocal micropolar thermoelastic half-space containing voids

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Pages 1191-1220 | Received 03 May 2021, Accepted 22 Jul 2021, Published online: 20 Aug 2021
 

Abstract

Reflection behavior of a set of coupled longitudinal/transverse waves incident obliquely at the flat boundary surface of a nonlocal micropolar thermoelastic half-space containing voids is investigated. Appropriate boundary conditions are setup for mechanically stress-free and thermally insulated boundary surface of the half-space. The equations yielding the reflection coefficients and the expressions of corresponding energy ratios of various reflected waves are presented. The nature of dependence of the reflection coefficients and their corresponding energy ratios against the angle of incidence is studied numerically for a specific model. Effect of several parameters on the reflection coefficients as well as on the corresponding energy ratios is noticed and depicted graphically. It is found that the sum of the energy ratios is approximately equal to unity at each angle of incidence. Some earlier known results are also recovered as special cases of the present formulation.

Funding

Suraj Kumar is grateful to the Council of Scientific and Industrial Research, New Delhi for providing financial support in the form of Senior Research Fellowship through Grant No. 09/135(0817)/2018-EMR-1. S. K. Tomar is grateful to the Science and Engineering Research Board, New Delhi for providing financial assistance through Grant No. MTR/2018/000242.

Disclosure statement

The authors declared no potential conflicts of interests with respect to the research authorship and/or publication of this manuscript.

Additional information

Funding

Suraj Kumar is grateful to the Council of Scientific and Industrial Research, New Delhi for providing financial support in the form of Senior Research Fellowship through Grant No. 09/135(0817)/2018-EMR-1. S. K. Tomar is grateful to the Science and Engineering Research Board, New Delhi for providing financial assistance through Grant No. MTR/2018/000242.

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