O formowaniu dwuwymiarowych zagadnień brzegowych teorii sprężystości

The purpose of the paper is the reduction of a class of three-dimensional problems of hyperelastic body to two-dimensional ones. The equations of continuum mechanics with internal constraints are used [4]. For deformations and stresses the ideal constraints are assumed. By means of the principles of ideality the system of equations has been obtained which, under some assumptions, gives the possibility of construction of two-dimensional problems approximating the corresponding tree-dimensional problem.