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Title: Thermal stress analysis of thin films in the context of generalised thermoelasticity

Authors: Toshio Furukawa, Toshiyasu Sueyoshi

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

Abstract: This study deals with the three-dimensional generalised thermoelasticity based on Lord and Shulman|s theory and Green and Lindsay|s theory. The fundamental equations which include both theories, are used. The thermoelastic problems for a homogeneous and isotropic film whose surfaces are traction free and subjected to a partial heating are analysed by means of the Laplace and Fourier transforms. The state space approach is used in the transformed domains. The inversion are carried out numerically. The numerical calculations for temperature and stresses are carried out. The influence of the finite velocity of the thermal wave grows as the film thins.

Keywords: thin films; thermal stress; elasticity; generalised thermoelasticity; thermal wave; relaxation time; thermomechanical coupling; Lord-Shulman theory; Green-Lindsay theory; integral transform; numerical inversion; state space approach.

DOI: 10.1504/IJTAMM.2011.041175

International Journal of Theoretical and Applied Multiscale Mechanics, 2011 Vol.2 No.1, pp.72 - 81

Available online: 11 Jul 2011 *

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