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Nonlinear Solid Mechanics: Bifurcation Theory and Material Instability

Davide Bigoni
Publisher: 
Cambridge University Press
Publication Date: 
2012
Number of Pages: 
532
Format: 
Hardcover
Price: 
135.00
ISBN: 
9781107025417
Category: 
Monograph
We do not plan to review this book.

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.

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