Description
Book SynopsisFulfilling a need for a work devoted to stability and bifurcation analysis in dissipative media, this book offers a unified presentation of nonlinear problems in solid mechanics and a complete and unitary analysis on stability and bifurcation problems arising in this framework.
Table of ContentsBasic Elements of Statics and Dynamics.
Constitutive Relations and Thermodynamics.
Elements of Mathematics.
Elastic Problems in Small Deformation.
Elastic-Plastic Problems in Small Deformaton.
Stability of an Equilibrium.
Static and Dynamic Bifurcation.
Bifurcation Analysis of Conservative Systems.
Buckling of Elastic Structures.
Complements of Conservative Systems.
Plastic Buckling of Beams.
Rate Problems and Hill's Criteria.
Plastic Bifurcation.
Materials and Structures in Finite Deformation.
Standard Dissipative Systems.
Stability of a Quasi-Static Evolution.
Crack Propagation and Stability.
Plane Cracks.
Contact with Friction.
Nonlinear Numerical Analysis.
References.
Index.
