Simulation of an Austenite-Twinned-Martensite Interface

Published

November 1, 2003

Author(s)

Anthony J. Kearsley, L A. Melara

Abstract

Developing numerical methods for predicting microstructure in materials is an extremely large and important research area. Two examples of material microstructures are Austenite and Martensite. Austenite is a microscopic phase with simple crystallographic structure while Martensite is one with a more complex structure. An important task in materials science is the development of numerical procedures which accurately predict microstructuresin Martensite near an Austenite-twinned-Martensite interface.We present a novel numerical technique for performing this task. The method relies on a combined specialized optimization algorithm and finite element scheme for approximating these delicate microstructures. Used together, we can successfully minimize an approximation to the total stored energy near the interface of interest. Preliminary results suggest that the minimizers of this energy functional located by the developed numerical algorithm appear to display the desired characteristics.Numerical results illustrate the effect of the selected finite element space together with the optimization algorithm. For the sake of comparison different values of epsilon are employed and the resulting energy function is simulated, minimized and the numerical results are tabulated and presented.

Citation

Journal of Research (NIST JRES) - of

Report Number

of

Volume

108 No. 6

NIST Pub Series

Journal of Research (NIST JRES)

Pub Type

NIST Pubs

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Keywords

Austenite-Martensite, finite element method, quasi-Newton method

Citation

Kearsley, A. and Melara, L. (2003), Simulation of an Austenite-Twinned-Martensite Interface, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=50696 (Accessed December 10, 2024)