Accession Number : AD0251497

Title :   A PROBLEM IN VISCO-PLASTICITY

Corporate Author : BROWN UNIV PROVIDENCE RI

Personal Author(s) : APPLEBY, E.J.

Report Date : FEB 1961

Pagination or Media Count : 1

Abstract : The thin circular plate considered in this investigation is simply supported along its edge and made of an incompressible rigid, visco-plastic material. The stress analysis is based on the model of Bingham solid (Fluidity and Plasticity, pp. 215-218, McGraw-Hill, N. Y., 1922) A linearized theory of visco-plasticity is used to treat the bending of the plate, where it is subjected to a uniformly distributed transverse load. A solution to this boundary-value problem consists of the stress field, the velocity field, and the associated field of the rate of deformation. A theorem according to Prager (Linhere it is subjected to a uniformly distributed transverse load. A solution to this boundary-value problem consists of the stress field, the velocity field, and the associated field of the rate of deformation. A theorem according to Prager (Linearization In Visco-Plasticity, Brown University Tech. Report No. 64, pp. 5-7, Providence, R. I. 1960) shows that the field of the rate of deformation is unique.

Descriptors :   *ELASTIC PROPERTIES, *PLASTIC PROPERTIES, CYLINDRICAL BODIES, LOAD DISTRIBUTION, MATHEMATICAL ANALYSIS, SHEAR STRESSES, THEORY.

Distribution Statement : APPROVED FOR PUBLIC RELEASE