Davide BigoniCambridge University Press, 7/17/2014EAN 9781107699502, ISBN10: 1107699509Paperback, 554 pages, 25.4 x 17.8 x 2.8 cmLanguage: EnglishThis book covers solid mechanics for non-linear elastic and elastoplastic materials, describing the behaviour of ductile material subject to extreme mechanical loading and its eventual failure. The book highlights constitutive features to describe the behaviour of frictional materials such as geological media. On the basis of this theory, including large strain and inelastic behaviours, bifurcation and instability are developed with a special focus on the modelling of the emergence of local instabilities such as shear band formation and flutter of a continuum. The former is regarded as a precursor of fracture, while the latter is typical of granular materials. The treatment is complemented with qualitative experiments, illustrations from everyday life and simple examples taken from structural mechanics.1. Introduction2. Elements of tensor algebra and analysis3. Solid mechanics at finite strains4. Isotropic nonlinear hyperelasticity5. Solutions of simple problems in finitely deformed nonlinear elastic solids6. Constitutive equations and anisotropic elasticity7. Yield functions with emphasis on pressure-sensitivity8. Elastoplastic constitutive equations9. Moving discontinuities and boundary value problems10. Global conditions of uniqueness and stability11. Local conditions for uniqueness and stability12. Bifurcation of elastic solids deformed incrementally13. Applications of local and global uniqueness and stability criteria to non-associative elastoplasticity14. Wave propagation, stability and bifurcation15. Post-critical behaviour and multiple shear band formation16. A perturbative approach to material instability.
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