Skip to main content

thermodynamics

Strain gradient plasticity: the flow rule of Fleck and Hutchinson violates thermodynamics ?

Submitted by Mike Ciavarella on

A recent paper on JMPS has seriously questioned the foundation of the SGP theory of Fleck and Hutchinson.  The matter is not simple, but is it a good bench test for imechanica to discuss?

doi:10.1016/j.jmps.2008.12.002    

Pressure

Submitted by Zhigang Suo on

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.

The Boltzmann Distribution

Submitted by Zhigang Suo on
  • A small system in thermal contact with a large system
  • The Boltzmann factor
  • Partition function
  • The probability for a system in thermal equilibrium with a reservoir to be in a specific state
  • The probability for a system in thermal equilibrium with a reservoir to be in a configuration
  • Thermal fluctuation of an RNA molecule
  • A matter of words

Return to the outline of Statistical Mechanics.