Nonlinear Solid Mechanics: Bifurcation Theory and Material Instability

ISBN: 9781107699502 出版年：2012 页码：550 Davide Bigoni Cambridge University Press

1. Introduction 2. Elements of tensor algebra and analysis 3. Solid mechanics at finite strains 4. Isotropic nonlinear hyperelasticity 5. Solutions of simple problems in finitely deformed nonlinear elastic solids 6. Constitutive equations and anisotropic elasticity 7. Yield functions with emphasis on pressure-sensitivity 8. Elastoplastic constitutive equations 9. Moving discontinuities and boundary value problems 10. Global conditions of uniqueness and stability 11. Local conditions for uniqueness and stability 12. Bifurcation of elastic solids deformed incrementally 13. Applications of local and global uniqueness and stability criteria to non-associative elastoplasticity 14. Wave propagation, stability and bifurcation 15. Post-critical behaviour and multiple shear band formation 16. A perturbative approach to material instability.