Nonlinear Solid Mechanics

Bifurcation Theory and Material Instability
1. Auflage 2014
ISBN: 978-1-107-02541-7
Verlag: Cambridge University Press

Buch, Englisch, 554 Seiten, Format (B × H): 183 mm x 260 mm, Gewicht: 1224 g

This 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.

Autoren/Hrsg.

Bigoni, Davide

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie

Inhaltsverzeichnis

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.

Über Autor(innen)

Bigoni, Davide
Davide Bigoni is a professor at the Faculty of Engineering at the University of Trento, where he has been head of the Department of Mechanical and Structural Engineering for the past ten years. He was honored as a Euromech Fellow of the European Mechanics Society. He is co-editor of the Journal of Mechanics of Materials and Structures (an international journal founded by C. R. Steele) and is associate editor of Mechanics Research Communications. He co-edited, with Deseri Luca, Recent Progress in the Mechanics of Defects (2011).