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An extension of Alfrey's analogy to thermal stress problems in temperature dependent linear viscoelastic media
Affiliation:1. Department of Aeronautical Engineering, University of Illinois, Urbana, Illinois, USA;2. Department of Physics, James Millikin University, Decatur, Illinois, USA;1. Private practitioner, Cunning Dental Group, Montclair, Calif;2. Private practitioner, The Center for Aesthetic and Implant Dentistry, Louisville, Ky;3. Private practitioner, Reetal Dental Clinics, Doha, Qatar;4. Professor, Department of Prosthodontics, Indiana University School of Dentistry, Indianapolis, Ind;5. Associate Professor, Program Director, and Interim Chair, Advanced Education Program in Prosthodontics, Department of Prosthodontics, Indiana University School of Dentistry, Indianapolis, Ind;1. Department of Applied Mechanics and Aerospace Engineering, Waseda University, Bldg. 59-317A, 3-4-1, Okubo, Shinjuku-ku, Tokyo 169-8555, Japan;2. Kagami Memorial Research Institute for Materials Science and Technology, Waseda University, 2-8-26 Nishiwaseda, Shinjuku-ku, Tokyo, 169-0051, Japan;1. Cornell Center for Astrophysics and Planetary Science, Cornell University, Ithaca, NY 14853, USA;2. Carl Sagan Center for the Study of Life in the Universe, SETI Institute, 189 Bernardo Avenue, Mountain View, CA 94043, USA;3. College of Engineering, Cornell University, Ithaca, NY 14853, USA;4. Space Science Institute, Boulder, CO 80304, USA;1. Sir John Walsh Research Institute, Faculty of Dentistry, University of Otago, New Zealand;2. School of Medicine and Dentistry, Griffith University, Australia;3. Member Centre of Biomedical and Rehabilitation Engineering, Menzies Health Institute Queensland, Australia;1. Shanghai Key Laboratory of Multiphase Materials Chemical Engineering, East China University of Science and Technology, Shanghai 200237, PR China;2. Dow Chemical China Co Ltd, Elastomers, Electrical & Telecommunications R&D, Shanghai 201203, PR China;3. Dow Chemical Company, Elastomers, Electrical & Telecommunications R&D, Collegeville, PA 19426, USA
Abstract:The elastic-viscoelastic analogy due to Alfrey (1944, 1948) is extended to incorporate thermal stress problems in nonhomogeneous linear viscoelastic media. It is shown that the thermal stresses in a body possessing temperature-dependent linear viscoelastic properties can be deduced from an equivalent elastic body.
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