Nonlinear solid mechanics bifurcation theory and material instability 1st Edition by Davide Bigoni ISBN 1107025419 9781107025417

Nonlinear solid mechanics bifurcation theory and material instability 1st Edition by Davide Bigoni – Ebook PDF Instant Download/Delivery: 1107025419, 9781107025417

Full download Nonlinear solid mechanics bifurcation theory and material instability 1st Edition after payment

Product details:

ISBN 10: 1107025419

ISBN 13:  9781107025417 

Author: Davide Bigoni 

This book covers solid mechanics for nonlinear elastic and elastoplastic materials, describing the behavior of ductile material subject to extreme mechanical loading and its eventual failure. The book highlights constitutive features to describe the behavior of frictional materials such as geological media. On the basis of this theory, including large strain and inelastic behaviors, bifurcation and instability are developed with a special focus on the modeling 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.

Table of contents:

1. And eigenvectors

2. Triple eigenvalue

3. Solid mechanics at finite strains

4. Isotropic nonlinear hyperelasticity

5. Solutions of simple problems in finitely deformed nonlinear

6. Constitutive equations and anisotropic elasticity

7. Yield functions with emphasis on pressure sensitivity

8. Elastoplastic constitutive equations

9. Global conditions of uniqueness and stability

10. Local conditions for uniqueness and stability

11. Incremental bifurcation of elastic solids

12. Applications of local and global uniqueness and stability criteria

13. Wave propagation stability and bifurcation

14. Postcritical behaviour and multiple shear band formation

15. A perturbative approach to material instability

16. References

17. Evidencing flutter instability

18. Moving discontinuities and boundary value problems

19. Index

People also search for:

    
nonlinear solid mechanics bifurcation theory
    
nonlinear solid mechanics bifurcation theory and material instability
    
nonlinear solid mechanics bifurcation theory and material instability pdf
    
non linear quantum mechanics
    
bifurcation nonlinear system

Tags: Davide Bigoni, Nonlinear Solid Mechanics, Bifurcation Theory, Material Instability