Elastic stability of circular cylindrical shells.

*(English)*Zbl 0544.73062
North-Holland Series in Applied Mathematics and Mechanics, Vol. 27. Amsterdam - New York - Oxford: North-Holland. XIII, 558 p. $ 57,75; Dfl. 150.00 (1984).

The author of this monograph about the elastic stability of circular cylindrical shells, who himself has published numerous papers on the subject, which he includes in the book, confines himself to the examination of unstiffened shells with constant thickness, made of homogeneous, isotropic material under static conservative loads.

The book about this limited, by now completely investigated subject, is clearly organized and easily readable, the topic well presented.

In the first of a total of six chapters, the most important nonlinear theories (Donnell, Flügge, Sanders) are described and the corresponding restrictions and assumptions are stated. Chapter 2 deals with the bifurcation problem. Results obtained using the different theories are compared for shells under each of the fundamental loads: torsion, pressure and compression. Special significance is attached to the effect of the prebuckling state and the boundary conditions.

In the 3rd chapter the post-buckling behaviour is investigated. Experimental results are compared with the corresponding theoretical results, obtained by application of the Galerkin method. Chapter 4 covers in particular the effect of initial imperfections on the buckling behaviour of the shell. The author compares results obtained through direct nonlinear analysis with those, obtained through an asymptotic analysis based on the ideas of Koiter and Budiansky. The next chapter describes the buckling and post-buckling behaviour under combined loads: pressure with torsion, axial compression or transverse edge load. The final chapter is dedicated to the buckling problem of partially liquid- filled cylinders. In each chapter, the problem treated is defined clearly, then methods of solutions are pointed out, and the problem is solved in different manners. Results are presented in many figures and diagramms, and are discussed. One may find buckling loads, corresponding modes and post-buckling equilibrium paths for almost all loads, boundary conditions and geometrical parameters appearing in practice (if not, the reference list with 205 references will give further help).

All considered, the author has succeeded very well, and the book can be highly recommended to the interested reader.

The book about this limited, by now completely investigated subject, is clearly organized and easily readable, the topic well presented.

In the first of a total of six chapters, the most important nonlinear theories (Donnell, Flügge, Sanders) are described and the corresponding restrictions and assumptions are stated. Chapter 2 deals with the bifurcation problem. Results obtained using the different theories are compared for shells under each of the fundamental loads: torsion, pressure and compression. Special significance is attached to the effect of the prebuckling state and the boundary conditions.

In the 3rd chapter the post-buckling behaviour is investigated. Experimental results are compared with the corresponding theoretical results, obtained by application of the Galerkin method. Chapter 4 covers in particular the effect of initial imperfections on the buckling behaviour of the shell. The author compares results obtained through direct nonlinear analysis with those, obtained through an asymptotic analysis based on the ideas of Koiter and Budiansky. The next chapter describes the buckling and post-buckling behaviour under combined loads: pressure with torsion, axial compression or transverse edge load. The final chapter is dedicated to the buckling problem of partially liquid- filled cylinders. In each chapter, the problem treated is defined clearly, then methods of solutions are pointed out, and the problem is solved in different manners. Results are presented in many figures and diagramms, and are discussed. One may find buckling loads, corresponding modes and post-buckling equilibrium paths for almost all loads, boundary conditions and geometrical parameters appearing in practice (if not, the reference list with 205 references will give further help).

All considered, the author has succeeded very well, and the book can be highly recommended to the interested reader.

Reviewer: H.-G.Radtke

##### MSC:

74G60 | Bifurcation and buckling |

74K15 | Membranes |

74-02 | Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids |

74B20 | Nonlinear elasticity |