Flexible Shells: Theory and Applications

ISBN-13: 9783642480157 / Angielski / Miękka / 2012 / 282 str.

E. L. Axelrad; F. A. Emmerling

Opis

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."

Spis treści

The Nonlinear Thermodynamical Theory of Shells: Descent from 3-Dimensions without Thickness Expansions.- On the Derivation of the Differential Equations of Linear Shallow Shell Theory.- Geometrically Nonlinear Theory and Incremental Analysis of Thin Shells.- Flexible Shells.- Seismic Behavior of Liquid Filled Shells.- On Geometrically Non-Linear Theories for Thin Elastic Shells.- Buckling and Post-Buckling of Shells for Unrestricted and Moderate Rotations.- On Entirely Lagrangian Displacemental Form of Non-Linear Shell Equations.- Shallow Caps with a Localized Pressure Distribution Centered at the Apex.- On the Buckling and Postbuckling of Spherical Shells.- Implicit Relaxation Applied to Postbuckling Analysis of Cylindrical Shells.- Nonlinear Bending of Curved Tubes.- Nonlinear Finite Element Analysis of Shells under Pressure Loads Using Degenerated Elements.- Contribution on the Numerical Analysis of Thin Shell Problems.- A Total Lagrangian Finite Element Formulation for the Geometrically Nonlinear Analysis of Shells.- Large Deformations of Elastic Conical Shells.- The Mechanics of Drape.