| Abstract: | A new approach based on the use of properties of spherical representation of a surface is proposed for solving a series of problems on the theory of plates and shells. This facilitated another approach to formulation of a resolving equation after having obtained it in a form invariant to the transformation of coordinates. Complex potentials for various flows of the stress-strain state (SSS) are given, i.e., uniform, shear and dipole. Specific applications are presented via a series of results of determination of the basic SSS in plates and shells. Stress concentration factors around holes of complex peripheral form in plates and shells in tension, shear, and torsion are also presented in a physically linear and nonlinear statement. All problems are solved in analytical form and reduced to a quantity.Translated from Problemy Prochnosti, No. 10, pp. 81–85, October, 1990. |
