
Accession Number : AD0621107
Title : A NOTE ON STRESS FUNCTIONS AND COMPATIBILITY EQUATIONS IN SHELL THEORY,
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF MATHEMATICS
Personal Author(s) : Reissner,Eric
Report Date : JAN 1962
Pagination or Media Count : 11
Abstract : The two vector equilibrium equations of linear shell theory are satisfied in terms of two vector stress functions. Reduction of the result to scalar form leads to expressions for six stress resultants and four stress couples in terms of four scalar stress functions. Utilization of this stress function representation in conjunction with a virtual work equation is shown to lead to four compatibility equations for strain. For the case of vanishing transverse shearing strains these four compatibility equations reduce to equations previously given by Goldenweiser. (Author)
Descriptors : (*SHELLS(STRUCTURAL FORMS), THEORY), STRESSES, STRAIN(MECHANICS), ELASTIC SHELLS, VECTOR ANALYSIS, EQUATIONS, COMPATIBILITY, FUNCTIONS(MATHEMATICS)
Distribution Statement : APPROVED FOR PUBLIC RELEASE