Behavior singularities of the simplest nonlinear elasticity models constructed on the basis of new holonomic tensor measures

We consider new holonomic tensor measures of strain and stresses and build nonlinear elasticity models for which the problems of stretching a thin wide plate and uniaxial stretching a rod from incompressible materials are solved. These models are congruent with classical ones when deformation is small, and they demonstrate essentially various properties at large deformations.