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  1. Home
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  3. W. T. Koiter’s Elastic Stability of Solids and Structures
  • Cited by 26
Publisher:
Cambridge University Press
Online publication date:
September 2009
Print publication year:
2008
Online ISBN:
9780511546174
DOI:
https://doi.org/10.1017/CBO9780511546174
Subjects:
Mathematics, Engineering, Fluid Dynamics and Solid Mechanics, Solid Mechanics and Materials
Information

Book description

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.

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Contents

Contents
References
Selected Publications of W. T. Koiter on Elastic Stability Theory
Over de stabiliteit van het elastisch evenwicht (On the stability of elastic equilibrium). Proefschrift T. H. Delft (1945).
On the stability of elastic equilibrium (Washington, 1967), 6 + 202 pp. (NASA Technical Translation F-10, 833, Clearinghouse US Dept. of Commerce/Nat. Bur. of Standards N67-25033).
The stability of elastic equilibrium (Palo Alto, Cal., 1970), 13 + 306 pp. (Stanford Univ., Dept. of Aeronaut. and Astronaut. Report AD 704124/Air Force Flight Dynamics Lab., Report TR-70-25).
“Buckling and post buckling behaviour of a cylindrical panel under axial compression,” Reports and Transactions National Aeronautical Research Institute, 20 (1956) pp. 71–84 (Nat. Aero. Res. Inst. Report No. S476).
“A consistent first approximation in the general theory of thin elastic shells.” Proc. I. U. T. A. M. Symposium on the Theory of Thin Elastic Shells (Deflt, August 1959). North-Holland Publishing Cy., Amsterdam, 12 (1960).
“A sysematic simplification of the general equations in the linear theory of thin shells.” Proc. Kon. Ned. Ak. Wet., B64, 612–619 (1961).
Introduction to the post-buckling behaviour of flat plates. Actes du Colloque sur le Comportement Postcritique des Plaques Utilisées en Construction Métallique, Liège (1963).
“Elastic stability and post-buckling behaviour.” Proc. Symp. Nonlinear Problems, University of Wisconsin Press, Madison, 257–275 (1963).
“The concept of stability of equilibrium for continuous bodies.” Proc. Kon. Ned. Ak. Wet., B66, 173–177 (1963).
“The effect of axisymmetric imperfections on the buckling of cylindrical shells under axial compression. Proc. Kon. Ned. Ak. Wet., B66, 265–279 (1963).
“Knik van schalen (buckling of shells).” De Ingenieur, 76, 033–041 (1964).
“On the instability of equilibrium in the absence of a minimum of the potential energy.” Proc. Kon. Ned. Wet., B68, 107–113 (1965).
“The energy criterion of stability for continuous elastic bodies.” Proc. Kon. Ned. Ak. Wet., B68, 178–202 (1965).
“Post buckling analysis of a simple two-bar frame.” Recent Progress in Applied Mechanics (The Folke Odqvist Volume), Almqvist & Wiksell, Stockholm (1967) 337–354.
“On the nonlinear theory of thin elastic shells” Proc. Kon. Ned. Ak. Wet., B69, 1–54.
“General equations of elastic stablity for thin shells.”Proc. Symposium on the Theory of Shells, April 4–6, 1066, Houston, Texas, U. S. A. (Houston, Texas U. S. A., 1967) pp. 187–227.
“A sufficient condition for the stability of shallow shells.” Proc. Kon. Ned. Ak. Wet., B70, 367–375 (1967).
“The nonlinear buckling problem of a complete spherical shell under uniform external pressure.” Proc. Kon. Ned. Ak. Wet., B72, 40–123 (1969).
“Postbuckling theory. Jointly with J. W. Hutchinson.” App. Mech. Reviews, 23, 1353–1366 (1970).
“Thermodynamics of elastic stablity.” Proc. 3rd Canadian Congress of Applied Mechanics, Calgary, May 1971, 29–37.
“An alternative approach to the interaction of local and overall buckling in stiffened panels. Jointly with M. Pignataro. Proc. IUTAM Symposium on Buckling of Structures, Harvard University, June 1974, Springer-Verlag (1976), 133–148.
“A basic open problem in the theory of elastic stability.” Joint IUTAM/IMU Symposium on Applications of Methods of Functional Analysis to Problems of Mechanics. Résumés des confèrences, September 1 to 6, 1075, Marseille. Part XXIX (Marseille, 1975).
“Buckling of a flexible shaft under torque loads transmitted by cardan joints.” Ingenieur-Archiv, 49, 369–373 (1980).

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