These notes are part of a graduate course on advanced elasticity.
If you would like a copy of my lecture notes (on matrix algebra, indicial notation, vectors, tensors, vector calculus, groups, curvilinear coordinates and calculus of variations) they are available at
So far we have been mainly concerned with systems of a single independent variable: energy (node/4878). We now consider a system of two independent variables: energy and volume. A thermodynamic model of the system is prescribed by entropy as a function of energy and volume.
The partial derivatives of the function give the temperature and the pressure. This fact leads to an experimental procedure to determine the function for a given system.
The laws of ideal gases and osmosis are derived. The two phenomena illustrate entropic elasticity.
Attached to this post are the notes John posted in his blog, with all pages rotated counterclockwise 90 degrees, for those who would like to read them on their computers.
These are the notes I wrote at the Technical University of Denmark in 1979. Zhigang Suo and I will be using these in the course on fracture and thin film mechanics (ES 242r) this spring (2007). This is a joint course with the University of Nebraska.
Time. Thursday and Tuesday. 1:30-3:00 pm (Harvard University), 12:30-2:2:00 pm (University of Nebraska). First meeting: 1 February 2007
Place. Harvard University: Fairchild 102 (map). University of Nebraska: 111 Walter Scott Engineering Center
Course website (this page): node/754
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