On the stored energy functions of hyperelastic materials with internal constraints (Q1115225)

Topic of this paper is the stored energy function of hyperelastic materials with internal constraints. The deformation of such a body is subject to certain constraints as incompressibility, inextensibility or a combination of these. The authors generalize some results for the functional dependence of the stored energy function on the deformation gradient of constraint-free materials to those with constraints. This paper deserves the interest of researchers in the mathematical foundation of continuum mechanics.