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Rotationally Symmetric Stress and Strain in Shells of Revolution
Author(s) -
Reissner E.,
Wan F. Y. M.
Publication year - 1969
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm19694811
Subject(s) - torsion (gastropod) , bending , classical mechanics , analogy , geometry , generalization , mathematics , mathematical analysis , physics , structural engineering , engineering , medicine , linguistics , philosophy , surgery
In generalization of existing results of the linear theory of symmetrical bending and torsion of thin elastic shells of revolution and of the theory of pure bending and twisting of ring sector shells, this paper considers the differential equations of the theory of shells of revolution under the supposition of rotationally symmetric stress and strain, allowing for transverse shear deformation and for moments turning about the normals to the middle surface. In this way, making use of the simplified static‐geometric analogy which is associated with the introduction of the two mentioned effects, known results are rederived in a new way and some new results are obtained, in particular for the dislocation‐theory‐type problems of pure bending and twisting.