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This book deals with the elastic stability of solids and structures. 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.
This book deals with the elastic stability of solids and structures. 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.
1. Stability; 2. Continuous elastic systems; 3. Applications.
This book covers elastic stability of solids and structures, Warner Koiter's area of special expertise.
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.
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