ABSTRACT
The elements of nonlinear elasticity succinctly presented in the following can be found, for instance, in Malvern’s fundamental monograph [5.1].
77Let us denote by B the reference configuration of a deformable body. Let {ek}, k = 1, 2, 3 be an orthonormal basis in V and let {O, ek} be an orthogonal Cartesian coordinate system in E. We design, by X = Xkek, the position vector of a particle P of the body; Xk represent the material, referential, or Lagrangean coordinates of the particle P . Let x = xkek be the position vector of the same particle at the current time t, in a motion
x = χ(X, t), xk = χk(Xl, t), k, l = 1, 2, 3 (5.1.1)
of the body. The numbers xk represent the current, spatial or Eulerian coordinates of the particle P .
