Davide Bigoni

Nonlinear Solid Mechanics

Bifurcation Theory and Material Instability

• Gebundenes Buch

Produktbeschreibung

Addresses behaviour of materials under extreme mechanical conditions and of failure in terms of non-linear continuum mechanics and instability theory.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 554
• Erscheinungstermin: 7. März 2014
• Englisch
• Abmessung: 260mm x 183mm x 34mm
• Gewicht: 1226g
• ISBN-13: 9781107025417
• ISBN-10: 1107025419
• Artikelnr.: 35485528

Autorenporträt

Davide Bigoni is Professor of Solid and Structural Mechanics at the University of Trento, Italy, 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).

Inhaltsangabe

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.