Coupled thermomechanical dynamics of phase transitions in shape memory alloys and related hysteresis phenomena

Melnik, R. V. N. and Roberts, A. J. and Thomas, K. A. (2001) Coupled thermomechanical dynamics of phase transitions in shape memory alloys and related hysteresis phenomena. Mechanics Research Communications, 28 (6). pp. 637-651. ISSN 0093-6413


In this paper the nonlinear dynamics of shape memory alloy phase transformations is studied with thermomechanical models based on coupled systems of partial differential equations by using computer algebra tools. The reduction procedures of the original model to a system of differential-algebraic equations and its solution are based on the general methodology developed by the authors for the analysis of phase transformations in shape memory materials with low dimensional approximations derived from center manifold theory. Results of computational experiments revealing the martensitic-austenitic phase transition mechanism in a shape-memory-alloy rod are presented. Several groups of computational experiments are reported. They include results on stress- and temperature-induced phase transformations as well as the analysis of the hysteresis phenomenon. All computational experiments are presented for Cu-based structures.

Statistics for USQ ePrint 2982
Statistics for this ePrint Item
Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Awaiting Author's and Publ.versions. Deposited in accordance with the copyright policy of the publisher.
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 11 Oct 2007 01:18
Last Modified: 06 Nov 2013 04:37
Uncontrolled Keywords: nonlinear dynamics; shape memory alloy phase transformations; thermomechanical models; coupled systems; partial differential equations
Fields of Research : 01 Mathematical Sciences > 0101 Pure Mathematics > 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080205 Numerical Computation
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.1016/S0093-6413(02)00216-1

Actions (login required)

View Item Archive Repository Staff Only