Slides on Pressure and Chemical Potential
Here are some slides I made on the subject of "Pressure and Chemical Potential" for the final meeting of Prof. Zhigang Suo's ES 241 class in the Spring of 2009.
ES 241
A course on Advanced Elasticity, with emphasis on thermodynamics and soft active materials
In the field of Solid Mechanics, Harvard has a sequence of 5 graduate courses:
- ES 240 Solid Mechanics
- ES 241 Advanced Elasticity
- ES 242r Solid Mechanics: Advanced Seminar
- ES 246 Plasticity
- ES 247 Fracture Mechanics
The first course goes over linear elasticity, finite element method, vibration, waves, viscoelasticity, as well as some ideas of finite deformation.
ES 241 Presentation: Electric Potential / Deformation and Polarization
Please see the attached slides on electric potential, deformation and polarization.
ES 241 Presentation: Heat Conduction and the Boltzmann Distribution
Please see attachment for ES 241 final presentation on heat conduction and the Boltzmann distribution.
ES241Presentation: General theory of finite deformation
Please see attachment for ES241 final presentation--general theory of finite deformation
Finite Deformation: Special Cases
The notes on finite deformation have been divided into two parts: special cases and general theory (node/538). In class I start with special cases, and then sketch the general theory. But the two parts can be read in any order.
Free Energy
For a system in thermal contact with the rest of the world, we have described three quantities: entropy, energy, and temperature. We have also described the idea of a constraint internal to the system, and associated this constraint to an internal variable.
ES 241 Advanced Elasticity Final Examination
Update on 23 May 2009: I'm adding links to the slides as they are uploaded.
The final exam will take the form of a pedagogical workshop. We have 8 students taking the class for credit. I have divided the lecture notes into 8 parts as follows.
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