Nonlinear Equations of the Theories of Elasticity and Shells in Terms of Anholonomic Components

This paper is concerned with some new aspects of the theory of anholonomic components of tensors of single and double fields. Consistent definitions of these components are given. As applications, the geometrically nonlinear equations of elasticity and shells referred to general curvilinear coordinates are written in terms of anholonomic components of vectors and tensors involved.