W.T. Koiter's elastic stability of solids and structures / edited by Arnold M.A. van der Heijden.

Format:

Book

Author/Creator:

Koiter, W. T. (Warner Tjardus)

Contributor:

Heijden, A. M. A. van der.

Martin and Margy Meyerson Accession Fund for the Built Environment Collections.

Language:

English

Subjects (All):

Elastic analysis (Engineering).

Structural stability.

Physical Description:

vii, 230 pages : illustrations ; 27 cm

Other Title:

Elastic stability of solids and structures

Place of Publication:

Cambridge ; New York : Cambridge University Press, 2009.

Contents:

1 Stability 1

1.1 Discrete systems 1

2 Continuous Elastic Systems 7

2.1 Thermodynamic background 7

2.2 Theorems on stability and instability 11

2.3 The stability limit 18

2.4 Equilibrium states for loads in the neighborhood of the buckling load 27

2.5 The influence of imperfections 41

2.6 On the determination of the energy functional for an elastic body 47

3 Applications 55

3.1 The incompressible bar (the problem of the elastica) 55

3.2 Bar with variable cross section and variable load distribution 59

3.3 The elastically supported beam 61

3.4 Simple two-bar frame 67

3.5 Simple two-bar frame loaded symmetrically 72

3.6 Bending and torsion of thin-walled cross sections under compression 78

3.7 Infinite plate between flat smooth stamps 84

3.8 Helical spring with a small pitch 101

3.9 Torsion of a shaft 110

3.10 Torison of a shaft with a Cardan (Hooke's) joint 119

3.11 Lateral buckling of a beam loaded in bending 126

3.12 Buckling of plates loaded in their plane 137

3.13 Post-buckling behavior of plates loaded in their plane 158

3.14 The "von Karman-Foppl Equations" 166

3.15 Buckling and post-buckling behavior of shells using shallow shell theory 169

3.16 Buckling behavior of a spherical shell under uniform external pressure using the general theory of shells 182

3.17 Buckling of circular cylindrical shells 201

3.18 The influence of more-or-less localized short-wave imperfections on the buckling of circular cylindrical shells under axial compression 221

Selected Publications of W. T. Koiter on Elastic Stability Theory 227.

Notes:

"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"--P. [i].

Includes bibliographical references and index.

"Selected publications of W.T. Koiter on elastic stability theory": pages 227-228.

Local Notes:

Acquired for the Penn Libraries with assistance from the Martin and Margy Meyerson Accession Fund for the Built Environment Collections.

ISBN:

9780521515283

0521515289

OCLC:

226038392

Online:

Contributor biographical information

Publisher description