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Instabilities
- Free energy and generalized coordinate. Equilibrium and stability
- Control parameter
- Configurational transitions of two types
- Critical point of configurational transition of the second type. Bifurcation analysis
- Behavior near a critical point. Post-bifurcation analysis
- Load-displacement relation near a critical point
- Koiter's theory of imperfection sensitivity
- A family of systems of many degrees of freedom
- Mode of bifurcation
- Vibration in the neighborhood of an equilibrium configuration
- A model of two degrees of freedom
- Elastica
- Euler buckling
- Vibration near a buckling point
- Finite elastic deformation
- Perturbation around a given equilibrium state
- Perturbation around a given homogeneous equilibrium state
- Considère reconsidered
- Luders's band and Maxwell's rule
- Ferroelectricity
Return to the outline of ES 241 Advanced Elasticity.
| Attachment | Size |
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 Instabilities 2007 05 02.pdf | 335.56 KB |
 Instabilities 2007 05.02.doc | 1.09 MB |
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Comments
Instabilities in Material Behaviors
Dear Zhigang,
Two phenomena, catastrophic fracture and catastrophic interface debonding, that I studies may be useful as references for your lecture on instabilities.
Regards,
Henry.
Notes on instabilities
Dear Henry: Thank you for the tip. I'll follow it up.
I've been working on these notes for the past few weeks. I'm not happy with them yet, but I've run out of time. Today is the last day of the class. I think that I've collected some useful material, and hope these notes will help others learn or teach the subject.
I'll improve the notes when I have time, hopefully before I teach the course next time, possibly two years from now!