SOME EXTREMAL QUESTIONS FOR SIMPLICIAL COMPLEXES. IV. THE ALGEBRAIC AND THE GEOMETRIC RESULTANT, AN APPLICATION OF VARIATIONAL METHODS

The problem discussed is that of establishing two dime sional systems of differential equations for stresses and displacements of thin elastic shells from the known equations of linear three-dimensional elasticity. The method used is that of dimensional analysis together with expansion in powers of...

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Bibliographic Details
Main Authors: FLEMING,W.H, YOUNG,L.C
Format: Report
Language:English
Subjects:
INTEGRALS
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Summary:The problem discussed is that of establishing two dime sional systems of differential equations for stresses and displacements of thin elastic shells from the known equations of linear three-dimensional elasticity. The method used is that of dimensional analysis together with expansion in powers of a dimensionless parameter of the solution of the equations of the three-dimensional theory for the semi-infinite cylindrical shell under self-equilibrating end loading. It is used to study unsymmetric deformations. (Author)