Some transient coupled thermoelastic crack problems |
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Authors: | MK Kassir PA Phurkhao KK Bandyopadhyay |
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Institution: | 1. Department of Mechanical Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia;2. Center of Research Excellence in Renewable Energy, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia;1. Research Institute of Human Ecology, College of Human Ecology, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul 08826, Republic of Korea;2. Department of Textiles, Merchandising and Fashion Design, College of Human Ecology, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul 08826, Republic of Korea;1. Department of Mechanical Engineering, Indian Institute of Technology Guwahati, India;2. Institute of Fluid Science, Tohoku University, Japan;1. School of Materials Science and Engineering, Shanghai University, Shanghai 200072, China;2. Institute of NanoMicroEnergy, Shanghai University, Shanghai 200444, China;3. Department of Physics, Shanghai University, Shanghai 200444, China;4. National Key Laboratory of Science and Technology on Micro/Nano Fabrication, Department of Micro/Nano Electronics, Shanghai Jiao Tong University, Shanghai 200240, China |
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Abstract: | This paper is concerned with determining the elastodynamic response of a plane strain medium containing a central crack deformed by the action of suddenly applied thermal and/or mechanical disturbances when the assumptions of the general theory of coupled thermoelasticity are assumed. Integral transform solution is employed to reduce the governing equations into integral equations of Fredholm type. A numerical inversion technique is used to compute the dynamic stress-intensity factors when the faces of the crack are subjected to constant heat flux and/or mechanical loading. Attention is focused on the overshoot in the stress-intensity factor and its time interval for non-stationary temperature fields, and to what degree it is influenced by the mutual dependence of the temperature and displacement fields inherent in the coupled theory of thermoelasticity. |
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