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On the representation of solutions for the theory of generalized thermoelasticity with three phase-lags

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Abstract

The aim of the present work is to derive the representation of a Galerkin-type solution in the linear theory of generalized thermoelasticity with three phase-lags, recently developed by Roychoudhuri (2007). Firstly, the representation of a Galerkin-type solution of equations of motion is obtained in the form of a theorem. Then, the representation theorem of a Galerkin-type system of equations of steady oscillations is established. Finally, the general solution of the system of homogenous equations of steady oscillation is also presented based on our theorem.

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Authors and Affiliations

  1. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, 221005, India

    Santwana Mukhopadhyay, Shweta Kothari & Roushan Kumar

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  1. Santwana Mukhopadhyay
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  2. Shweta Kothari
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  3. Roushan Kumar
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Correspondence to Santwana Mukhopadhyay.

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Mukhopadhyay, S., Kothari, S. & Kumar, R. On the representation of solutions for the theory of generalized thermoelasticity with three phase-lags. Acta Mech 214, 305–314 (2010). https://doi.org/10.1007/s00707-010-0291-z

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  • DOI: https://doi.org/10.1007/s00707-010-0291-z

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