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Lord–Shulman and Green–Lindsay-based magneto-thermoelasticity of hollow cylinder

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Abstract

Current investigation is focused on the response of a hollow cylinder within the framework of generalized magneto-thermoelasticity. It is assumed that cylinder is made from an isotropic and homogeneous material. Cylinder is under thermal and magnetic loads. Boundary conditions and loading of the cylinder are assumed to be axisymmetric so the response of the cylinder also may be assumed to be axisymmetric. The governing equations are established for the cylinder in polar coordinates. To consider the finite speed of temperature wave propagation, two different generalized thermoelasticity theories are used which are Lord–Shulman and Green–Lindsay theories. Also the body force induced by magnetic load is evaluated via the Lorentz force. The obtained equations by these two theories are unified using the definition of auxiliary parameters. The established equations are transformed into dimensionless presentation. After that, by means of the generalized differential quadrature method and Newmark time marching scheme, equations are discreted and traced in time. Results of this study are provided in graphical presentation to show the propagation and reflection of thermal, electrical, mechanical and magnetic waves. It is verified that according to Lord–Shulman and Green–Lindsay theories, temperature propagates with finite speed.

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Authors and Affiliations

  1. Mechanical Engineering Department, Shahrekord University, Shahrekord, Iran

    Mehdi Karimipour Dehkordi

  2. Faculty of Engineering, Shahrekord University, Shahrekord, Iran

    Yaser Kiani

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  1. Mehdi Karimipour Dehkordi
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  2. Yaser Kiani
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Karimipour Dehkordi, M., Kiani, Y. Lord–Shulman and Green–Lindsay-based magneto-thermoelasticity of hollow cylinder. Acta Mech 235, 51–72 (2024). https://doi.org/10.1007/s00707-023-03739-4

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