Determination of the effective thermal conductivity of composites under the influence of an imperfect interface using a variational asymptotic-based method

N, AAA and Pitchai, P and Guruprasad, PJ (2024) Determination of the effective thermal conductivity of composites under the influence of an imperfect interface using a variational asymptotic-based method. In: Archive of Applied Mechanics .

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Abstract

This paper provides a detailed examination of the anisotropic thermal conductivity of a two-phase layered composite material with an imperfect interface. The development of a closed-form solution focuses on using the variational asymptotic method (VAM). Highlighting the one-dimensional periodicity of the unit cell, the study includes reduced thermal conduction at the imperfect interface between the two layers of a laminate. In addition to the VAM approach, the research introduces the finite element method (FEM) for the one-dimensional periodicity of the unit cell, for the reduced thermal conduction at the imperfect interface. Validation of both the derived VAM-based closed-form analytical solutions and the FEM solutions, under identical imperfect interface conditions, has been conducted by comparing the results with those present in the literature. The results show satisfactory agreement. Furthermore, the VAM-based analytical solution is extended to unidirectional composites with similar imperfect interface conditions, predicting effective thermal conductivity. These predictions are validated against various literature models, showing significant agreement, especially with lower-bound models. As a practical application, the closed-form solution derived from VAM is used to investigate the influence of an imperfect interface on thermal conduction with changes in volume fraction, providing valuable insights for practical applications. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.

Item Type:	Journal Article
Publication:	Archive of Applied Mechanics
Publisher:	Springer Science and Business Media Deutschland GmbH
Additional Information:	The copyright for this article belongs to publisher.
Keywords:	Cells; Heat resistance; Laminated composites; Phase interfaces; Thermal conductivity of solids; Variational techniques, 1d layered unit cell; Anisotropic thermal conductivity; Imperfect interface; Interfacial thermal resistance; Kapitza interfacial thermal resistance; Low thermal conduction; Thermal; Thermal conduction; Unit cells; Variational asymptotic methods, Anisotropy
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	24 Oct 2024 12:35
Last Modified:	24 Oct 2024 12:35
URI:	http://eprints.iisc.ac.in/id/eprint/86503

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