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Some theorems on two-temperature generalized thermoelasticity

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Abstract

The aim of the present work is to establish a reciprocal principle of Betti type in the context of linear theory of two-temperature generalized thermoelasticity (Youssef in IMA J Appl Math 71:383–390, 2006; Arch Appl Mech 75:553–565, 2006) for homogeneous and isotropic body. Generalizations of the theorems of Somigliana and Green to two-temperature generalized thermoelasticity are also established on the basis of our reciprocal principle.

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Authors and Affiliations

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

    Roushan Kumar, Rajesh Prasad & Santwana Mukhopadhyay

  2. Birla Institute of Technology, Mesra, Deoghar Campus, Jasidih, 714142, India

    Roushan Kumar

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  1. Roushan Kumar
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  2. Rajesh Prasad
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  3. Santwana Mukhopadhyay
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Correspondence to Santwana Mukhopadhyay.

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Kumar, R., Prasad, R. & Mukhopadhyay, S. Some theorems on two-temperature generalized thermoelasticity. Arch Appl Mech 81, 1031–1040 (2011). https://doi.org/10.1007/s00419-010-0464-1

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  • DOI: https://doi.org/10.1007/s00419-010-0464-1

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