Structural Engineering and Mechanics

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Transmission/reflection phenomena of waves at the interface of two half-space mediums with nonlocal theory

  • Adnan, Jahangir (Department of Mathematics, COMSATS University Islamabad) ;
  • Abdul, Waheed (Department of Mathematics, COMSATS University Islamabad) ;
  • Ying, Guo (School of Civil Engineering, Henan University of Science and Technology)
  • Received : 2022.09.17
  • Accepted : 2023.01.06
  • Published : 2023.02.10
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Abstract

The article is about the theoretical analysis of the transmission and reflection of elastic waves through the interface of perfectly connected materials. The solid continuum mediums considered are piezoelectric semiconductors and transversely isotropic in nature. The connection among the mediums is considered in such a way that it holds the continuity property of field variables at the interface. The concept of strain and stress introduced by non-local theory is also being involved to make the study more applicable It is found that, the incident wave results in the generation of four reflected and three transmitted waves including the thermal and elastic waves. The thermal waves generated in the medium are encountered by using the concept of three phase lag heat model along with fractional ordered time thermoelasticity. The results obtained are calculated graphically for a ZnO material with piezoelectric semiconductor properties for medium M1 and CdSc material with transversely isotropic elastic properties for medium M2. The influence of fractional order parameter, non-local parameter, and steady carrier density parameter on the amplitude ratios of reflected and refraction waves are studied graphically by MATLAB.

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