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Stress Focusing Effect of an Elastic Solid in the Context of Generalized Thermoelasticity

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Advanced Dynamics and Model-Based Control of Structures and Machines

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Abstract

The stress focusing effect in a solid sphere and an infinitely long solid cylinder under instantaneous uniform heating at the free surface is studied on the basis of the generalized thermoelastic theories, that is, Lord-Shulman and Green-Lindsay theories. The combined governing equations of both theories are solved by Laplace transform. Calculations have been performed to exhibit the radial distributions on the basis of Lord-Shulman theory. The effects of thermomechanical coupling parameter and relaxation time on the stress focusing phenomena as well as the singularity of stresses are discussed.

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Authors and Affiliations

  1. Department of Mechanical Systems Engineering, University of the Ryukyus, Senbaru 1, Nishihara, Okinawa, 903-0213, Japan

    T. Furukawa

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  1. T. Furukawa
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Correspondence to T. Furukawa .

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Editors and Affiliations

  1. Institut für Technische Mechanik, Universität Linz, Altenbergstr. 69, Linz, 4040, Austria

    Hans Irschik

  2. Abt. Technische Mechanik, Universität Linz, Altenbergerstraße 69, Linz, 4040, Austria

    Michael Krommer

  3. Inst. Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoy Ave. V. O. 61, St. Petersburg, 199178, Russian Federation

    Alexander K. Belyaev

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Furukawa, T. (2012). Stress Focusing Effect of an Elastic Solid in the Context of Generalized Thermoelasticity. In: Irschik, H., Krommer, M., Belyaev, A. (eds) Advanced Dynamics and Model-Based Control of Structures and Machines. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0797-3_9

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  • DOI: https://doi.org/10.1007/978-3-7091-0797-3_9

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  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-0796-6

  • Online ISBN: 978-3-7091-0797-3

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