Incompressibility and materials with complementary strain-energy density
Copyright policy )Incompressibility and materials with complementary strain-energy density
The constitutive equations for nonlinear elastic incompressible materials involve an indeterminate pressure field as an additional postulate on material behavior. In the paper this indeterminacy is examined and it is shown that the indeterminacy of the pressure at given strain is necessary and sufficient for incompressibility. This result is also generalized to constraints other than incompressibility. Finaly, a simple linear dependence of the complementary strain-energy density on pressure which is necessary and sufficient for incompressibility is deduced.
- Brown University United States
necessecary and sufficient condition for incompressibility, constitutive equations, Nonlinear elasticity, indeterminate pressure field
necessecary and sufficient condition for incompressibility, constitutive equations, Nonlinear elasticity, indeterminate pressure field
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