STABILITY CRITERIA OF SHELLS.
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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The establishment of general stability criteria of shells is of an enormous practical importance. Calculations for stability for many constructions are encountered in industrial installations, aviation, ship construction, etc., and they appear to be decisive with respect to the selection of material and dimensions. In spite of the presence of a great amount of literature on the stability of shells, it is still impossible to determine firmly the destructive loads and calculated stresses for even relatively simple cases of applying outer forces. This is explained first of all by substantial features of the process of shell stability losses connected, as a rule, with the appearance of snapping. Stability investigations of shells cannot be acknowledged as completed as long as there is no definition with respect to the very concept of stability. This appears to be particularly substantial for the arrangement and solving of problems pertaining to the stability of shells in the presence of plastic deformations, under creep conditions, with dynamic loads, etc. Stability concepts of different solutions of problems are discussed in the qualitative theory of differential and integral equations and in a functional analysis.