Accession Number:

AD0621107

Title:

A NOTE ON STRESS FUNCTIONS AND COMPATIBILITY EQUATIONS IN SHELL THEORY,

Descriptive Note:

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF MATHEMATICS

Personal Author(s):

• Reissner,Eric

Report Date:

1962-01-01

Pagination or Media Count:

11.0

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)

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE