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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 4, Pages 128–143
(Mi pmtf2061)
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Dynamic deformation of a thermoviscoelastic rod of triangular cross section in a coupled formulation
A. D. Chernyshov Voronezh State Technological Academy, Voronezh, 394000
Abstract:
For the coupled model of a thermoviscoelastic rod of equilateral triangular cross section, two exact solutions are obtained for the cases where a normal displacement and a shear stress or a tangential displacement and a normal stress are specified on the lateral surface of the rod. A dimensionless parameter $R_0$ is introduced to judge the appropriateness of taking into account the coupling in the formulation of the problem. Formulas are given for the velocities and lengths of the temperature, shear, and longitudinal waves, which can be used in experiments to determine the physical properties of thermoviscoelastic materials.
Keywords:
dynamic deformation, coupled thermoviscoelasticity problems, rod.
Received: 26.06.2006
Citation:
A. D. Chernyshov, “Dynamic deformation of a thermoviscoelastic rod of triangular cross section in a coupled formulation”, Prikl. Mekh. Tekh. Fiz., 48:4 (2007), 128–143; J. Appl. Mech. Tech. Phys., 48:4 (2007), 577–590
Linking options:
https://www.mathnet.ru/eng/pmtf2061 https://www.mathnet.ru/eng/pmtf/v48/i4/p128
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Abstract page: | 20 | Full-text PDF : | 8 |
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