INFINITESIMAL AND FINITE DEFORMATIONS IN THE POLAR COORDINATE SYSTEM

Abstract

The deformation problem of elasticity theory with regard to nonlinear deformations is examined. The expressions of deformations through displacements in the orthogonal curvilinear coordinate system are recorded. The relations for finite deformations in cylindrical and polar coordinate systems are derived. Physical relations for finite deformations and corresponding generalized stresses are recorded.

Keywords

• small deformations, finite deformations, nonlinear continuum mechanics problem, curvilinear orthogonal coordinate system, cylindrical coordinate system, polar coordinate system, plane deformation, generalized stresses