Micromechanical model of polycrystalline shape memory alloys based on Reuss assumption

Tadashige Ikeda; Florin Andrei Nae; Yuji Matsuzaki

doi:10.1117/12.482842

1 August 2003 Micromechanical model of polycrystalline shape memory alloys based on Reuss assumption

Tadashige Ikeda, Florin Andrei Nae, Yuji Matsuzaki

Proceedings Volume 5049, Smart Structures and Materials 2003: Modeling, Signal Processing, and Control; (2003) https://doi.org/10.1117/12.482842
Event: Smart Structures and Materials, 2003, San Diego, California, United States

Abstract

To understand the complicated thermodynamical behaviors of shape memory alloys (SMA) and to optimally design structures with SMA components, a simple yet micromechanical model of SMA was proposed based on Reuss assumption, namely, an assumption of uniform stress state in every grain. Since interaction between grains doesn't exist in Reuss assumption, we considered a specific distribution for phase interaction energy and also hardening due to the grain interaction. Choosing adequate distributions for both grain orientation and phase interaction energy, the model could describe the round shape around yielding stresses and the inner loops on a stress-strain hysteresis relationship and the temperature differences between transformation start and finish. They were in quantitative agreement with available experimental data for wires. Moreover, a heat balance equation was combined with the constitutive equation to take into account the effect of temperature change of the material. This combined model could capture quantitatively a temperature variation of about 20K in one cycle due to self heating and cooling as well as the effect of strain rate on stress-strain hysteresis loops. Finally, by reducing this proposed model to a model for unidirectional loading we showed that the proposed model became our previously developed macromechanical 1D model. Thus we could bridge the gap between a grain-based micromechanical model and a specimen-based macromechanical 1D model.

Citation Download Citation

Tadashige Ikeda, Florin Andrei Nae, and Yuji Matsuzaki "Micromechanical model of polycrystalline shape memory alloys based on Reuss assumption", Proc. SPIE 5049, Smart Structures and Materials 2003: Modeling, Signal Processing, and Control, (1 August 2003); https://doi.org/10.1117/12.482842

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available