This book covers elastic stability of solids and structures, Warner Koiter's area of special expertise.
This book deals with the elastic stability of solids and structures, on which Warner Koiter was the world's leading expert. It begins with fundamental aspects of stability, relating the basic notions of dynamic stability to more traditional quasi-static approaches. The book is concerned not only with buckling, or linear instability, but most importantly with nonlinear post-buckling behavior and imperfection-sensitivity. After laying out the general theory, Koiter applies the theory to a number of applications, with a chapter devoted to each. These include a variety of beam, plate, and shell structural problems and some basic continuum elasticity problems. Koiter's classic results on the nonlinear buckling and imperfection-sensitivity of cylindrical and spherical shells are included. The treatments of both the fundamental aspects and the applications are completely self-contained. This book was recorded as a detailed set of notes by Arnold van der Heijden from W. T. Koiter's last set of lectures on stability theory, at TU Delft.
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This book covers elastic stability of solids and structures, Warner Koiter's area of special expertise.
| Preface |
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vii | |
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1 | (6) |
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1 | (6) |
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Continuous Elastic Systems |
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7 | (48) |
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7 | (4) |
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Theorems on stability and instability |
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11 | (7) |
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18 | (9) |
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Equilibrium states for loads in the neighborhood of the buckling load |
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27 | (14) |
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The influence of imperfections |
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41 | (6) |
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On the determination of the energy functional for an elastic body |
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47 | (8) |
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55 | (172) |
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The incompressible bar (the problem of the elastica) |
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55 | (4) |
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Bar with variable cross section and variable load distribution |
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59 | (2) |
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The elastically supported beam |
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61 | (6) |
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67 | (5) |
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Simple two-bar frame loaded symmetrically |
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72 | (6) |
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Bending and torsion of thin-walled cross sections under compression |
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78 | (6) |
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Infinite plate between flat smooth stamps |
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84 | (17) |
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Helical spring with a small pitch |
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101 | (9) |
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110 | (9) |
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Torsion of a shaft with a Cardan (Hooke's) joint |
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119 | (7) |
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Lateral buckling of a beam loaded in bending |
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126 | (11) |
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Buckling of plates loaded in their plane |
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137 | (21) |
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Post-buckling behavior of plates loaded in their plane |
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158 | (8) |
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The ``von Karman-Foppl Equations'' |
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166 | (3) |
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Buckling and post-buckling behavior of shells using shallow shell theory |
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169 | (13) |
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Buckling behavior of a spherical shell under uniform external pressure using the general theory of shells |
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182 | (19) |
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Buckling of circular cylindrical shells |
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201 | (20) |
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The influence of more-or-less localized short-wave imperfections on the buckling of circular cylindrical shells under axial compression |
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221 | (6) |
| Selected Publications of W. T. Koiter on Elastic Stability Theory |
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227 | (2) |
| Index |
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229 | |
Arnold M. A. van der Heijden is an advisor for HESTOCON, a technical drawing and design company in Breda, Netherlands. He received his Master's and PhD degrees, with honors, in mechanical engineering and applied mechanics under Professor Koiter. He has been a technical and scientific staff member in the Applied Mechanics Lab at Delft University of Technology, an Honorary Research Fellow at Harvard University, a professor at Eindhoven Technical University, a board member of the Department of Applied Mechanics of the Royal Dutch Institute for Engineers, and co-editor (with J. F. Besseling) of the Koiter symposium book Trends in Solid Mechanics. Dr van der Heijden has worked on staff and/or consulted for many corporations including Royal Dutch Shell plc (Pernis and the Hague), CAB Utrecht, with HESTOCON to develop RDW safety approved vehicle bumpers, ABB Lummus Global, and as a project leader of ATEX at General Electric Advanced Materials. He is currently working on improvement safety management for ProRail.
