Accession Number : AD0486130

Title :   A SECOND ORDER SHELL THEORY FOR ORTHOTROPIC, CIRCULAR CYLINDRICAL SHELLS.

Descriptive Note : Research rept.,

Corporate Author : GRUMMAN AIRCRAFT ENGINEERING CORP BETHPAGE NY RESEARCH DEPT

Personal Author(s) : Crouzet-Pascal, Jacques ; Pifko, Allan

Report Date : JUN 1966

Pagination or Media Count : 36

Abstract : Equations are developed governing the small deformations of orthotropic, circular cylindrical shells, valid for a range of thicknesses beyond the scope of the classical shell theory. The cylindrical orthotropy of the shells is treated in complete generality. Assumptions which incorporate, in a consistent manner, the effect of transverse shear and normal stress deformations are made on both the stresses and displacements. A consistent set of equilibrium equations, stress-strain relations and boundary conditions is then derived by means of the variational theorem developed by Reissner. Essentially, two sets of results, differing only in their degree of generality, are presented. One, the more general, consists of the set of shell equations in which the coefficients of the load, stress and deformation quantities remain arbitrary, subject to a specific choice of the functions which describe the radial distribution of the stresses. The other consists of the same set of equations, in which, however, the coefficients are evaluated for a specific transverse representation of the stresses.

Descriptors :   (*CYLINDRICAL BODIES, DEFORMATION), (*ELASTIC SHELLS, CYLINDRICAL BODIES), THICKNESS, SHEAR STRESSES, STRESSES, STRAIN(MECHANICS), LOADS(FORCES), ELASTIC PROPERTIES, THEORY, MATHEMATICAL ANALYSIS, APPROXIMATION(MATHEMATICS), DIFFERENTIAL EQUATIONS, TORSION, EQUILIBRIUM(PHYSIOLOGY), DISTRIBUTION, FUNCTIONS(MATHEMATICS), INTEGRALS, SUBMARINE HULLS.

Subject Categories : Submarine Engineering
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE