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Finger’s constitutive equations

We now have the ingredients to formulate Finger s constitutive equation. It relates the Cauchy strain tensor to the stress tensor in the form... [Pg.316]

The substitution of C by B implies, as the main point, that one is now choosing the invariants of B as independent variables, rather than those associated with C. The second form of Finger s constitutive equation is... [Pg.317]

The same modification is necessary when dealing in general with incompressible hyperelastic bodies. Introducing the additional term in Finger s constitutive equation, Eq. (7.63), and regarding the absence of Ills we obtain... [Pg.318]

Whether to use the first or the second form of Finger s constitutive equation is just a matter of convenience, depending on the expression obtained for the free energy density in terms of the one or the other set of invariants. For the system under discussion, a body of rubbery material, the choice is clear The free energy density of an ideal rubber is most simply expressed when using the invariants of the Finger strain tensor. Equation (9.22), giving the result of the statistical mechanical treatment of the fixed junction model, exactly corresponds to... [Pg.378]

See other pages where Finger’s constitutive equations is mentioned: [Pg.300]    [Pg.315]    [Pg.361]    [Pg.376]    [Pg.300]    [Pg.315]    [Pg.361]    [Pg.376]    [Pg.2429]    [Pg.1471]    [Pg.400]   
See also in sourсe #XX -- [ Pg.316 , Pg.317 ]

See also in sourсe #XX -- [ Pg.376 , Pg.377 ]



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