Analytical model for a laminated shape memory alloy beam with piezoelectric layers

N. V. Viet; W. Zaki; R. Umer

doi:10.1117/12.2296373

22 March 2018 Analytical model for a laminated shape memory alloy beam with piezoelectric layers

N. V. Viet, W. Zaki, R. Umer

Proceedings Volume 10596, Behavior and Mechanics of Multifunctional Materials and Composites XII; 105960A (2018) https://doi.org/10.1117/12.2296373
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2018, Denver, Colorado, United States

Abstract

We propose an analytical model for a laminated beam consisting of a superelastic shape memory alloy (SMA) core layer bonded to two piezoelectric layers on its top and bottom surfaces. The model accounts for forward and reverse phase transformation between austenite and martensite during a full isothermal loading-unloading cycle starting a full austenite in the SMA layer. In particular, the laminated composite beam has a rectangular cross section and is fixed at one end while the other end is subjected to a concentrated transverse force acting at the tip. The moment-curvature relation is analytically derived. The generated electric displacement output from the piezoelectric layers is then determined using the linear piezoelectric theory. The results are compared to 3D simulations using finite element analysis (FEA). The comparison shows good agreement in terms of electric displacement, in general, throughout the loading cycle.

Conference Presentation

Citation Download Citation

N. V. Viet, W. Zaki, and R. Umer "Analytical model for a laminated shape memory alloy beam with piezoelectric layers", Proc. SPIE 10596, Behavior and Mechanics of Multifunctional Materials and Composites XII, 105960A (22 March 2018); https://doi.org/10.1117/12.2296373

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