Ebook: Flexible Shells: Theory and Applications

Euromech-Colloquium Nr. 165 The shell-theory development has changed its emphasis during the last two decades. Nonlinear problems have become its main motive. But the analysis was until recently predominantly devoted to shells designed for strength and stiffness. Nonlinearity is here relevant to buckling, to intensively vary able stress states. These are (with exception of some limit cases) covered by the quasi-shallow shell theory. The emphasis of the nonlinear analysis begins to shift further - to shells which are designed for and actually capable of large elastic displacements. These shells, used in industry for over a century, have been recently termedj1exible shells. The European Mechanics Colloquium 165. was concerned with the theory of elastic shells in connection with its applications to these shells. The Colloquium was intended to discuss: 1. The formulations of the nonlinear shell theory, different in the generality of kine­ matic hypothesis, and in the choice of dependent variables. 2. The specialization of the shell theory for the class of shells and the respective elastic stress states assuring flexibility. 3. Possibilities to deal with the complications of the buckling analysis of flexible shells, caused by the precritial perturbations of their shape and stress state. 4. Methods of solution appropriate for the nonlinear flexible-shell problems. 5. Applications of the theory. There were 71 participants the sessions were presided over (in that order) by E. Reissner, J. G. Simmonds, W. T. Koiter, R. C. Tennyson, F. A. Emmerling, E. Rarnm, E. L. Axelrad.

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Content:
Front Matter....Pages I-IX
The Nonlinear Thermodynamical Theory of Shells: Descent from 3-Dimensions without Thickness Expansions....Pages 1-11
On the Derivation of the Differential Equations of Linear Shallow Shell Theory....Pages 12-21
Geometrically Nonlinear Theory and Incremental Analysis of Thin Shells....Pages 22-43
Flexible Shells....Pages 44-63
Seismic Behavior of Liquid Filled Shells....Pages 64-75
On Geometrically Non-Linear Theories for Thin Elastic Shells....Pages 76-90
Buckling and Post-Buckling of Shells for Unrestricted and Moderate Rotations....Pages 91-105
On Entirely Lagrangian Displacemental Form of Non-Linear Shell Equations....Pages 106-123
Shallow Caps with a Localized Pressure Distribution Centered at the Apex....Pages 124-145
On the Buckling and Postbuckling of Spherical Shells....Pages 146-162
Implicit Relaxation Applied to Postbuckling Analysis of Cylindrical Shells....Pages 163-174
Nonlinear Bending of Curved Tubes....Pages 175-191
Nonlinear Finite Element Analysis of Shells under Pressure Loads Using Degenerated Elements....Pages 192-221
Contribution on the Numerical Analysis of Thin Shell Problems....Pages 222-240
A Total Lagrangian Finite Element Formulation for the Geometrically Nonlinear Analysis of Shells....Pages 241-256
Large Deformations of Elastic Conical Shells....Pages 257-270
The Mechanics of Drape....Pages 271-282

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Content:
Front Matter....Pages I-IX
The Nonlinear Thermodynamical Theory of Shells: Descent from 3-Dimensions without Thickness Expansions....Pages 1-11
On the Derivation of the Differential Equations of Linear Shallow Shell Theory....Pages 12-21
Geometrically Nonlinear Theory and Incremental Analysis of Thin Shells....Pages 22-43
Flexible Shells....Pages 44-63
Seismic Behavior of Liquid Filled Shells....Pages 64-75
On Geometrically Non-Linear Theories for Thin Elastic Shells....Pages 76-90
Buckling and Post-Buckling of Shells for Unrestricted and Moderate Rotations....Pages 91-105
On Entirely Lagrangian Displacemental Form of Non-Linear Shell Equations....Pages 106-123
Shallow Caps with a Localized Pressure Distribution Centered at the Apex....Pages 124-145
On the Buckling and Postbuckling of Spherical Shells....Pages 146-162
Implicit Relaxation Applied to Postbuckling Analysis of Cylindrical Shells....Pages 163-174
Nonlinear Bending of Curved Tubes....Pages 175-191
Nonlinear Finite Element Analysis of Shells under Pressure Loads Using Degenerated Elements....Pages 192-221
Contribution on the Numerical Analysis of Thin Shell Problems....Pages 222-240
A Total Lagrangian Finite Element Formulation for the Geometrically Nonlinear Analysis of Shells....Pages 241-256
Large Deformations of Elastic Conical Shells....Pages 257-270
The Mechanics of Drape....Pages 271-282
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