The thermodynamic behaviors of multicomponent, elastic, crystalline solids under
stress and electro-magnetic fields are developed, including the extension of EulerâÂÂs
equation, Gibbs equation, Gibbs-Duhem equation, the conditions to be expected at
equilibrium, and an extension of the Gibbs phase rule. The predictions of this new
phase rule are compared with experimental observations.
The stress deformation behaviors of the single martensitic crystal with and without
magnetic fields were studied with the stress deformation equation derived by
Slattery and Si (2005). One coherent interfacial condition between two martensitic
variants was developed and used as one boundary condition of the problem. The
dynamic magnetic actuation process of the single crystal actuator was analyzed. The
extension velocity and the actuation time of the single crystal actuator are predicted.
The relationship between the external stress and the extension velocity and the actuation
time with the presence of a large external magnetic field was studied.
The extended Gibbs-Duhem equation and Slattery-Lagoudas stress-deformation
expression for crystalline solids was used. Interfacial constraints on the elastic portion
of stress for crystalline-crystalline interfaces and crystalline-fluids or crystallineamorphous
solids interfaces were derived and tested by the oxidation on the exterior
of a circular cylinder, one-sided and two-sided oxidation of a plate. An experiment
for measuring solid-solid interface surface energies was designed and the silicon-silicon dioxide surface energy was estimated.
A new generalized Clausius-Clapeyron equation has been derived for elastic crystalline
solids as well as fluids and amorphous solids. Special cases are pertinent to
coherent interfaces as well as the latent heat of transformation.
| Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/4177 |
| Date | 30 October 2006 |
| Creators | Si, Xiuhua |
| Contributors | Slattery, John C |
| Publisher | Texas A&M University |
| Source Sets | Texas A and M University |
| Language | en_US |
| Detected Language | English |
| Type | Book, Thesis, Electronic Dissertation, text |
| Format | 461523 bytes, electronic, application/pdf, born digital |
Page generated in 0.0019 seconds