Theory of Elastic Stability, Second Edition

Chaos in Structural MechanicsUniversity of Michigan Official PublicationTheory and Analysis of Elastic Plates and Shells, Second EditionFoundations of the Nonlinear Theory of ElasticityHistory of Strength of MaterialsFlexural-Torsional Buckling of StructuresTheory of elasticityStability of Elastic StructuresMechanics of SolidsOn the Stability of Elastic EquilibriumTheory of Elastic StabilityThe Nonlinear Theory of Elastic ShellsMaterials Selection in Mechanical DesignStability Problems in Applied MechanicsProbabilistic Methods in the Theory of StructuresTheory of Elastic StabilityPlate Stability by Boundary Element MethodSemiconductor Nanowires II: Properties and ApplicationsApplied Plasticity, Second EditionFundamentals of Structural StabilityGeneral RegisterA Translation of the Stability of Elastic EquilibriumMechanics of Composite MaterialsA Treatise on the Mathematical Theory of ElasticityElementary Continuum Mechanics for EveryoneAnnouncementStability, Bifurcation and Postcritical Behaviour of Elastic StructuresStability of StructuresApplied Mechanics ReviewsNon-Classical Problems in the Theory of Elastic StabilityNonlinear Theory of Elastic StabilityBuckling of Laminated Composite Plates and Shell PanelsTheory Of Plates & Shells 2EAn Analytical Procedure for Predicting the Two-dimensional Impact Dynamics of a Spacecraft Landing GearTheory Of Elastic Stability 2EWave Motion in Elastic SolidsA General Theory of Elastic StabilityTheory of Elastic StabilityMechanics of StructuresProceedings of the Second International Conference on Structural Stability and Dynamics Resoundingly popular in its first edition, the second edition of Mechanics of Structures: Variational and Computational Methods promises to be even more so, with broader coverage, expanded discussions, and a streamlined presentation. The authors begin by describing the behavior of deformable solids through the differential equations for the strength of materials and the theory of elasticity. They next introduce variational principles, including mixed or generalized principles, and derive integral forms of the governing equations. Discussions then move to computational methods, including the finite element method, and these are developed to solve the differential and integral equations. New in the second edition: A one-dimensional introduction to the finite element method, complete with illustrations of numerical mesh refinement Expansion of the use of Galerkin's method. Discussion of recent developments in the theory of bending and torsion of thin-walled beams. An appendix summarizing the fundamental equations in differential and variational form Completely new treatment of stability, including detailed examples Discussion of the principal values of geometric properties and stresses Additional exercises As a textbook or as a reference, Mechanics of Structures builds a unified, variational foundation for structure mechanics, which in turn forms the basis for the computational solid mechanics so essential to modern engineering.Stability Problems in Applied Mechanics starts with the stability problems in statics. The example of buckling of columns is studied through Euler method followed by the energy method, based on Lagrange-Dirichlet theorem. Snap buckling, instability of shape, buckling due to follower load are also discussed. Insufficiency of static analysis for instability is clearly brought out and buckling problems are revisited from the point of view of dynamics. The next chapter provides the theory of Dynamical System and the foundations of bifurcation theory and explains the problems discussed in the previous chapter in the light of these unified mathematical concepts. This mathematical basis is then applied in the next chapter to investigate the stability problems encountered in dynamics of particle, rigid and flexible bodies. The last chapter explains the emergence of length scale and pattern formation as a consequence of instability in fluid, thermal and diffusion systems. Different notions of stability and the analysis of nonlinear states are briefly included in two appendices.A crucial element of structural and continuum mechanics, stability theory has