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Nonlinear solid mechanics : bifurcation theory and material instability
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Nonlinear solid mechanics : bifurcation theory and material instability

Davide Bigoni

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Contents

Machine generated contents note: 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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Nonlinear solid mechanics : bifurcation theory and material instability by Davide Bigoni. ISBN 9781107025417. Published by Cambridge University Press in 2012. Publication and catalogue information, links to buy online and reader comments.

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