This book gives a unified presentation of the field of stability. Buckling and post-buckling states are studied on the basis of total potential energy of structural systems. Emphasis is placed throughout the text on post-buckling analysis and behaviour. The sensitivity of buckling and post-buckling states to changes in design parameters is also discussed as well as changes due to imperfections and damage.
1.Introduction 2.Equilibrium States in Non-Linear Elasticity 3.Perturbation Techniques 4.Stability of an Equilibrium State 5.Critical States 6.The Limit Point 7.Bifurcation States 8.Equilibrium of Systems With Imperfections 9.Influence of Non-Linear Material Behavior on Buckling States 10.Imperfection Sensitivity of Critical Points 11.Design Sensitivity of Bifurcation States 12.Design Sensitivity of Post-Critical States 13.Bifurcation States:The W-Formulation 14.Mode Interaction 15.Sensitivity of Systems with Mode Interaction A.Displacements, Strains, and Stresses B.Energy of Bars and Trusses