
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 RiemannChristoffel 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