Accession Number : AD0259373

Title :   DEFORMATION OF HEATED SHELLS

Corporate Author : STANFORD UNIV CALIF

Personal Author(s) : HEMP,W.S.

Report Date : APR 1961

Pagination or Media Count : 1

Abstract : Methods were investigated for the analysis of deformation and stresses induced by heating of thin shells. The general theory of thin shells is reviewed. The shell is defined in terms of its middle surface and thickness and its properties, both before and after deformation, are defined by metric and curvature tensors which satisfy the Gauss and Codazzi equations of surfaces. The state of strain is defined in terms of these quantities and equations are derived for membrane strains and curvature changes. This kinetic basis may be combined with either the principle of stationary free energy or with the equilibrium equations to form a complete theory of shells. Extensional solutions which are found to be stress-free are first investigated and then departures from these solutions are considered. The special problem of buckling induced by compressive stresses in an edge effect is investigated, and an energy method of solution is given.

Descriptors :   *DEFORMATION, *SHELLS(STRUCTURAL FORMS), CYLINDRICAL BODIES, MATHEMATICAL ANALYSIS, SHEETS, SPHERES, STRESSES, THEORY, THERMAL STRESSES

Distribution Statement : APPROVED FOR PUBLIC RELEASE