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Thermodynamics of Elasticity

Fundamental Principles of Polymeric Materials, Third Edition. Christopher S. Brazel and Stephen L. Rosen. 2012 John Wiley Sons, Inc. Published 2012 by John Wiley Sons, Inc. [Pg.239]

FIGURE 13.1 T3fpes of mechanical deformation (a) unstressed (b) uniaxial tension (c) pure shear, and (d) isotropic compression. [Pg.240]

Work done by an isotopic (evenly applied on all sides) pressure in changing the volume  [Pg.240]

Note that no negative sign is needed here. A positive pressure causes a decrease in the volume (negative dV) and does work on the system. [Pg.240]

If the deformation process is assumed to occur reversibly (in a thermodynamic sense), then  [Pg.240]

Consider an element of material with dimensions axbxc, as sketched in Fig. 14.1. Applying the first law of thermodynamics to this system yidds [Pg.233]

We will consider three types of mechanical work 1. Work done by a uniaxial tensile force /  [Pg.233]

The full significance of these observations could not be appreciated in advance of the formulation of the second law of thermodynamics by Lord Kelvin and Clausius in the early 1850 s. In a paper published in 1857 that was probably the first to treat the thermodynamics of elastic deformation, Kelvin showed that the quantity of heat Q absorbed during the (reversible) elastic deformation of any body is related in the following manner to the change with temperature in the work — TFei required to produce the deformation ... [Pg.435]

Coleman, B.D. and Noll, W. (1963) The thermodynamics of elastic materials with heat conduction and viscosity, Archive for Rational Mechanics and Analysis 13, 167-178... [Pg.264]

Kratochvfl, J., DUlon, O.W. Thermodynamics of elastic-plastic materials as a theory with internal state variables. J. Appl. Phys. 40(8), 3207-3218 (1969)... [Pg.65]

B.D. Coleman, W. Noll Thermodynamics of Elastic Materials with Heat Conduction Arch. Rat. Mech. Anal. 17(1964)1 andB.D. Coleman, D.R. Owen Mathematical Foundations for Thermodynamics Arch. Rat. Mech. Anal. 54(1974)1... [Pg.430]

B.D. COLEMAN W. NOLL, "The thermodynamics of elastic materials with heat conduction and viscosity". Arch. Rat. Mech. Anal. 13, 169-178, 1963... [Pg.37]

See other pages where Thermodynamics of Elasticity is mentioned: [Pg.95]    [Pg.69]    [Pg.121]    [Pg.427]    [Pg.324]    [Pg.25]    [Pg.36]    [Pg.85]    [Pg.239]    [Pg.241]    [Pg.243]    [Pg.245]    [Pg.233]    [Pg.103]   
See also in sourсe #XX -- [ Pg.25 , Pg.26 ]

See also in sourсe #XX -- [ Pg.239 , Pg.240 , Pg.241 , Pg.242 , Pg.243 , Pg.244 ]



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