Mahapatra, D.R. and Melnik, R.V.N.
Fracture of Nano and Engineering Materials and Structures. Proceedings of the 16th European Conference on Fracture (July 3-7, 2006), Ed. E.E. Gdoutos, Springer [Special Symposium on Fracture and Fatigue at the Micro and Nano Scales, Organizers: H.D. Espinosa and I. Daniel], Paper 737, 8 pages, ISBN 1-4020-4971-4, 2006 (also in hard copy ISBN 10-4020-4971-4/13-978-1-4020-4971-2)
We develop a general modeling framework to analyze the dynamics of multivariant phase transformation in three-dimensional samples of shape memory materials. The model is based on a systematic representation of the Gibbs free energy in stress, temperature and n-dimensional order parameter space.
Keywords: multi-scale problems; spatio-temporal fluctuations due to atomic reordering; shape memory alloys; thermodynamic conservation laws; Gibbs free energy; multi-dimensional phase transformations