- English
- PDF
- Available on iOS & Android
About this book
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.
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Information
Table of contents
- Cover
- NONLINEAR SOLID MECHANICS
- Title
- Copyright
- Dedication
- Contents
- Preface
- Foreword
- 1: Introduction
- 2: Elements of tensor algebra and analysis
- 3: Solid mechanics at finite strains
- 4: Isotropic non-linear hyperelasticity
- 5: Solutions of simple problems in finitely deformed non-linear 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: Incremental bifurcation of elastic solids
- 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
- References
- Index