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On a mixed problem for the temperature equation in generalized thermoelasticity

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Summary

In the context of the generalized thermoelasticity theory, a mixed problem for the temperature equation is constructed by starting with a mixed problem for the coupled governing equations for the displacement and temperature fields. The uniqueness of solution of the former problem is established. A method of deducing a solution of the latter problem from that of the former problem is presented.

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References

  1. Chandrasekharaiah, D. S.: Complete solutions of a coupled system of partial differential equations arising in thermoelasticity. Quart. Appl. Math.45, 471–480 (1987).

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  2. Murphy, W. K., Carlson, D. E.: On the characterization of the mixed problem of coupled, dynamic, linear thermoelasticity in terms of temperature. J. Thermal Stresses6, 139–152 (1983).

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  3. Chandrasekharaiah, D. S.: Thermoelasticity with second sound—A review. Appl. Mech. Rev.39, 355–376 (1986).

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Author notes

  1. D. S. Chandrasekharaiah

    Present address: Department of Mathematics, Bangalore University, Central College Campus, 560001, Bangalore, India

  2. H. Narasimha Murphy

    Present address: Department of Mathematics, B.M.S. College of Engineering, 560019, Bangalore, India

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    1. D. S. Chandrasekharaiah
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    2. H. Narasimha Murphy
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    Chandrasekharaiah, D.S., Murphy, H.N. On a mixed problem for the temperature equation in generalized thermoelasticity. Acta Mechanica 104, 105–114 (1994). https://doi.org/10.1007/BF01170280

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    • DOI: https://doi.org/10.1007/BF01170280

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