Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 18, Issue 7, Pages 1880-1887Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2012.11.011
Keywords
Cosserat rod; Thermomechanics; Thermodynamics; Kirchhoff constitutive relations; Dynamic equations
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Funding
- National Natural Science Foundation of China [10772056, 90816002]
- Chang Jiang Scholar Program of the Ministry of Education of China
- Harbin Institute of Technology
- National Science Foundation [CMMI-1000830]
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1000830] Funding Source: National Science Foundation
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A thermoelastic Cosserat rod with a heat flux along its length is modeled after reviewing a simple Cosserat rod model. Extended Kirchhoff constitutive relations that include thermal effects, and the associated heat conduction equation, are derived using the first law of thermodynamics. The rate of internal dissipation of the Cosserat rod is estimated by the Clausius-Duhem inequality. Nonlinear dynamic equations of the thermoelastic Cosserat rod, which extend the simple Cosserat rod model, are obtained. Dynamic equations of a planar thermoelastic Cosserat rod, the Timoshenko thermoelastic beam, and the planar Euler-Bernoulli thermoelastic beam are derived as a special case within the framework of the thermoelastic Cosserat rod. (C) 2012 Elsevier B. V. All rights reserved.
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