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Transmission and Reflection and Coefficients of the Periodic Thermoelastic Multilayer Structures with Effect of Interface Using the Pseudo-Stroh Formalism

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Advances in Integrated Design and Production II (CIP 2022)

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Abstract

Transmission and reflection coefficients of plane waves for multilayered systems of thermoelastic materials are investigated in this paper. The Pseudo-Stroh formalism is employed to solve the elastic displacements, temperature and heat flux. The general solutions of simply supported plates are used with the dual variable and position method in the corresponding layered structures to determine the transmission and reflection coefficients. Two examples of application are proposed to highlight on the effects of the temperature and the imperfect interface on the acoustic behavior of the thermoelastic multilayer structures. To model the isothermal conditions at the interface, the linear spring-type model is used and it is assumed a continuity of traction and a discontinuity of displacement field throughout the interface. The interface is assumed to be mechanically compliant and weakly conducting thermally. One of the multilayers used is the perfectly bonded composed of aluminum and polyethylene. The other multilayers system is composed of the same materials with imperfect interface. Numerical results are presented to illustrate the variation of acoustic transmission and reflection coefficients with imperfect interface depending on temperature and frequency.

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Correspondence to J. Houyouk .

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Houyouk, J., Manyo Manyo, J.A., Ntamack, G.E., Azrar, L. (2023). Transmission and Reflection and Coefficients of the Periodic Thermoelastic Multilayer Structures with Effect of Interface Using the Pseudo-Stroh Formalism. In: Azrar, L., et al. Advances in Integrated Design and Production II. CIP 2022. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-23615-0_28

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  • DOI: https://doi.org/10.1007/978-3-031-23615-0_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-23614-3

  • Online ISBN: 978-3-031-23615-0

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