Abstract
Specific constitutive equations are presented for coupled nonlinear thermoelastic response of an orthotropic beam. The equations include thermal and viscous dissipation as well as temperature dependent specific heat, thermal expansion coefficients and elastic moduli.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Green, A.E., Naghdi, P.M., Wenner, M.L.: On the theory of rods, I. Derivations from the three-dimensional equations. Proc. Royal Society of London A 337, 451–483 (1974)
Green, A.E., Naghdi, P.M., Wenner, M.L.: On the theory of rods, II. Developments by direct approach. Proc. Royal Society of London A 337, 485–507 (1974)
Green, A.E., Naghdi, P.M.: On thermodynamics and the nature of the second law. Proc. Royal Soc. Lond. A 357, 253–270 (1977)
Green, A.E., Naghdi, P.M.: The Second Law Of Thermodynamics And Cyclic Processes. ASME J. Appl. Mech. 45, 487–492 (1978)
Green, A.E., Naghdi, P.M.: On thermal effects in the theory of rods. Int. J. Solids and Structures 15, 829–853 (1979)
Rubin, M.B.: An elastic-viscoplastic model for large deformation. Int. J. of Engng. Sci. 24, 1083–1095 (1986)
Rubin, M.B.: Heat conduction in plates and shells with emphasis on a conical shell. Int. J. of Solids Structures 22, 527–551 (1986)
Rubin, M.B.: Hyperbolic heat conduction and the second law of thermodynamics. Int. J. Engng. Sci. 30, 1665–1676 (1992)
Rubin, M.B.: Numerical solution of two- and three-dimensional thermomechanical problems using the theory of a Cosserat point. J. of Math. and Physics (ZAMP), Special Issue 46, S308–S334 (1995); In: Casey, J., Crochet, M.J. (eds.) Theoretical, Experimental, And Numerical Contributions To The Mechanics of Fluids And Solids. Brikhauser Verlag, Basel (1995)
Rubin, M.B.: Cosserat Theories: Shells, Rods and Points. In: Solid Mechanics and its Applications, vol. 79. Kluwer, The Netherlands (2000)
Yogev, O., Bucher, I., Rubin, M.B.: Dynamic Lateral Torsional Post-Buckling of a Beam-Mass System: Experiments. Journal of Sound and Vibrations 299, 1049–1073 (2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Rubin, M.B. (2010). Coupled Nonlinear Thermoelastic Equations for an Orthotropic Beam with Thermal and Viscous Dissipation. In: Albers, B. (eds) Continuous Media with Microstructure. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11445-8_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-11445-8_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11444-1
Online ISBN: 978-3-642-11445-8
eBook Packages: EngineeringEngineering (R0)