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Non-linear Model Study of the Thermal Buckling of Thin Elastic Shells

Nicholas John HoffStanford University. Department of Aeronautics and Astronautics

出版	Stanford University, Department of Aeronautics and Astronautics, 1963
URL	http://books.google.com.hk/books?id=Ns4DAAAAIAAJ&hl=&source=gbs_api

註釋

Analysis of the simple model proposed yields equilibrium curves in agreement with those obtained by other investigators for axially compressed thin-walled circular cylindrical shells. A rigorous calculation of the stability of the equilibrium of the model indicates that the snap-through phenomenon can be entirely absent when an imperfect shell is heated in a perfectly rigid testing machine. When the testing machine is sufficiently elastic, snap through will occur. It may take place at a temperature smaller than, equal to, or greater than T = epsilon sub cr/alpha, where epsilon sub cr is the theoretical critical strain of the perfect shell and alpha is the coefficient of expansion of the material of the shell, but the maximum stress produced in the imperfect shell will always be less than epsilon sub cr E, where E is Young's modulus of the material. (Author).