Accession Number : AD0267389

Title :   SOME CONSIDERATIONS ON STRESS FUNCTIONS

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE AEROELASTIC AND STRUCTURES RESEARCH LAB

Personal Author(s) : WASHIZU,K.

Report Date : NOV 1961

Pagination or Media Count : 1

Abstract : INVESTIGATIONS INTO STRESS PROBLEMS ARE PRESENTED: In Part I, stress functions in a three dimensional stress problem of the small displacement theory in rectangular Cartessian coordinates are discussed, and an application to a flat plate problem is shown. In Part II, stress functions in a three dimensional stress problem of the finite displacement theory in general curvilinear coordinates are shown to be derivable by the use of the vanishing conditions of Riemann-Christoffel curvature tensors and the principle of virtual work. It is obvious that the stress functions thus obtained include those of the small displacement theory as a special case. In Part III, the technique developed in Part II is applied to a shell problem of the small displacement theory, and stress functions for a thin shell are obtained. (Author)

Descriptors :   *DEFORMATION, *STRESSES, EQUATIONS, FUNCTIONS(MATHEMATICS), INTEGRALS, MATHEMATICAL ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, PRISMATIC BODIES, SHEETS, STRUCTURES

Distribution Statement : APPROVED FOR PUBLIC RELEASE