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Reflection and transmission of quasi-plane waves at the interface of piezoelectric semiconductors with initial stresses

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Abstract

We examine the reflection and transmission phenomena of quasi-longitudinal plane (QP) waves in an AlN-ZnO laminated composite structure. The structure is designed under the influence of the initial stresses in which one carrier piezoelectric semiconductor (PSC) half-space is in welded contact with another PSC half-space. The secular equations in the transversely isotropic PSC material are derived from the general dynamic equation, taking the initial stresses into consideration. It is shown that the incident quasi-longitudinal wave (QP-mode) at the interface generates four types of reflected and transmitted waves, namely, QP wave, quasi-transverse (QSV) wave, electric-acoustic (EA) wave, and carrier plane (CP) wave. The algebraic equations are obtained by imposing the boundary conditions on the common interface of the laminated structure. Reflection and transmission coefficients of waves are obtained by implementing Cramer’s rule. Profound impacts of the initial stresses and exterior electric biasing field on the reflection and transmission coefficients of waves are investigated and presented graphically.

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Acknowledgements

The authors extend hearty recognition to the Indian Institute of Technology (Indian School of Mines) Dhanbad for providing research facilities.

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Authors and Affiliations

  1. Department of Mathematics and Computing, Indian Institute of Technology (ISM), Dhanbad, Jharkhand, 826004, India

    S. A. Sahu, S. Nirwal & S. Mondal

Authors
  1. S. A. Sahu
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  2. S. Nirwal
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  3. S. Mondal
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Corresponding author

Correspondence to S. Nirwal.

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Citation: SAHU, S. A., NIRWAL, S., and MONDAL, S. Reflection and transmission of quasi-plane waves at the interface of piezoelectric semiconductors with initial stresses. Applied Mathematics and Mechanics (English Edition), 42(7), 951–968 (2021) https://doi.org/10.1007/s10483-021-2738-9

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Sahu, S.A., Nirwal, S. & Mondal, S. Reflection and transmission of quasi-plane waves at the interface of piezoelectric semiconductors with initial stresses. Appl. Math. Mech.-Engl. Ed. 42, 951–968 (2021). https://doi.org/10.1007/s10483-021-2738-9

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  • DOI: https://doi.org/10.1007/s10483-021-2738-9

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