THE INFLUENCE OF THICKNESS-WISE TEMPERATURE GRADIENTS ON THE LARGE DEFLECTIONS AND STABILITY OF THIN ELASTIC SHELLS. PART I: SHALLOW CLAMPED SHELLS. PART II: COMPLETE SPHERICAL SHELLS. PART III: BIMETALLIC SHELLS

Technical Report · Wed Feb 01 04:00:00 EST 1961

OSTI ID:4066513

Libove, C; Tong, K N

The non-linear deflections of thin elastic shallow shells (spherical and other) of uniform thickness, clamped at the boundary and subjected simultaneously to normal loading and temperature gradients through the thickness are considered. It is shown that a constant temperature gradient through the thickness of such a nature as to produce no cross-sectional thrust due to thermal expansion, has no influence on the deflections and stability, a (spatially) nonconstant temperature gradient of the same kind can be replaced by an equivalent normal-pressure distribution, and a spherical shell with certain temperature distributions tending to produce thermal thrust can be replaced by an equivalent unheated shell of a different geometry and loading. The analysis is based on Von Karman's large- deflection theory for flat plates, generalized to include small initial curvature and thermal deformations. Complete spherical shells having a constant temperature gradient through the thickness and subjected to exterral hydrostatic pressure combined with a pair of concentrated forces applied radially inward at the ends of a diameter are also studied. It is shown that the temperature gradient can have only a negligible influence on the axi-symmetric classical buckling pressure under hydrostatic pressure alone, the postbuckling axi- symmetric large deflections under hydrostatic pressure alone, and the axi- symmetric large deflections under the hydrostatic pressure plus concentrated loading. The analysis is based on a study of Eric Reissner's differential equations for large deflections of rotationally symmetric shells, generalized to include temperature strains. The implication of results is that a uniform temperature gradient will not alter the stability analysis of spherical shells based upon the concept of the existence of non-adjacent equilibrium states. The test results generally supported the conclusion. (auth)

• Research Organization: Syracuse Univ., N.Y. Research Inst.
• DOE Contract Number: W-7405-ENG-26
• NSA Number: NSA-15-020933
• OSTI ID: 4066513
• Report Number(s): TID-12854; ME790-612T
• Country of Publication: United States
• Language: English

Related Subjects

CONFIGURATION
DEFORMATION
DIFFERENTIAL EQUATIONS
DISTRIBUTION
ELASTICITY
ENGINEERING AND EQUIPMENT
EXPANSION
HEATING
HYDROSTATICS
JOINTS
LIQUIDS
MATERIALS TESTING
MECHANICS
PLATES
PRESSURE
SAFETY
SHELLS
SPHERES
STABILITY
SURFACES
TEMPERATURE
TENSILE PROPERTIES
THERMAL STRESSES
THICKNESS