Non-Equilibrium Continuum Physics
Solids make a large part of the material world around us, both natural and man-made. The physical processes of deformation, flow and failure of solids pose intriguing fundamental questions. This course is intended to introduce graduate students to the essentials of modern continuum physics, with a focus on solid mechanics and within a thermodynamic perspective. Emphasis will be given to general concepts and principles, and examples will cover a wide range of physical phenomena and applications in diverse disciplines. The power of field theory as a mathematical structure that does not make direct reference to microscopic length scales well below those of the phenomena of interest will be highlighted.
No prior acquaintance with the subject is assumed. Basic knowledge of statistical thermodynamics, vector calculus, differential equations and complex analysis is required.
General Principles and Concepts
- Introduction: background and motivation
- Mathematical preliminaries: tensor analysis
- Motion, deformation and stress
Conservation laws, the laws of thermodynamics and objectivity
Constitutive laws: the physics that comes after thermodynamics
Reversible Processes: Non-dissipative Constitutive Behaviors
- Linear elasticity and thermo-elasticity
- Finite (nonlinear) elasticity
Irreversible processes: Dissipative constitutive behaviors
- Non-equilibrium internal variables thermodynamics
The emergence of solidity and the glass transition puzzle
Dissipative Phenomena in Solid Mechanics
- Fracture mechanics
- Point defects and dislocations
2016 Course Material
The course takes place at Weissman Auditorium.
Lectures are on Tuesdays 11:15-13:00 and TA sessions on Wednesdays 14:15-16:00.
Eran's Lecture notes(PDF) (June 19, 2016)
Yohai's TA Material:
|TA sessions||HW sets|