Shape Memory Alloy in Tension and Compression and its Application as Clamping Force Actuator in a Bolted Joint: Part 2

Abstract

The mathematical modeling of a bolted joint with a Shape Memory Alloy (SMA) actuator ring is presented. In this way, phase transformation, constitutive and displacement compatibility equations are used. The obtained model is utilized to show how the application of the SMA actuator ring in the bolted joint can help the joint to recover a significant amount of its lost clamping force. The model is run using the experimental data obtained for the Ni-55.7%wt Ti SMA in the companion paper (Part 1). The mechanical properties of SMA are calculated using the mentioned equations and compared to the experimental findings. It is observed that the final clamping force obtained theoretically is close to the measured value. The proposed method can, therefore, be a starting point in order to perform the analysis and design of bolted joints with SMA actuator rings.

Keywords

mathematical modeling shape memory alloy phase transformation bolted joints self-healing structures

Get full access to this article

View all access options for this article.

References

Auricchio, F. and Sacco, E. 1999. “A Temperature-dependent Beam for Shape Memory Alloys: Constitutive Modeling, Finite-element Implementation and Numerical Simulations,” Computer Methods in Applied Mechanics and Engineering, 174: 171-190 .

Bickford, J.H. 1995. An Introduction to the Design and Behavior of Bolted Joints, 3rd edn, Marcel Dekker, Inc, Manhattan .

Birman, V. 1997. “Review of Mechanics of Shape Memory Alloy Structures,” Applied Mechanics Reviews, Part 1, 50(11): 629-645 .

Brinson, L.C. 1993. “One-dimensional Constitutive Behavior of Shape Memory Alloys: Thermo-mechanical Derivation with Non-constant Material Functions and Redefined Martensite Internal Variable,” Journal of Intelligent Material Systems and Structures, 4: 229-242 .

Ghorashi, M. 2001. “Design of Bolted Joints in Pressure Vessels by Dynamic Modeling,” In: Proceedings of the Eighth International Conference on Civil and Structural Engineering Computing, Eisenstadt, Austria, Paper No. 48.

Ghorashi, M. and Inman, D.J. 2003. “Recovery of Preload in Bolted Joint Using Shape Memory Alloy Elements,” In: Proceedings of DETC’03, ASME 2003 Design Engineering Technical Conferences and Information in Engineering Conference, Chicago, Illinois USA, September 2-6, 2003. DETC2003/VIB-48527 (on CD).

Hesse, T. , Ghorashi, M. and Inman, D.J. 2004. “Shape Memory Alloy in Tension and Compression and its Application as Clamping Force Actuator in a Bolted Joint, Part 1: Experimentation,” Journal of Intelligent Material Systems and Structures, 15: 577-587 .

Liang, C. and Rogers, C.A. 1990. “One-dimensional Thermo-mechanical Constitutive Relations for Shape Memory Materials,” Journal of Intelligent Material Systems and Structures, 1: 207-234 .

Prahlad, H. and Chopra, I. 2001. “Comparative Evaluation of Shape Memory Alloy Constitutive Models with Experimental Data,” Journal of Intelligent Material Systems and Structures, 12: 383-395 .

10.

Salichs, J. , Hou, Z. and Noori, M. 2001. “Vibration Suppression of Structures Using Passive Shape Memory Alloy Energy Dissipation Devices,” Journal of Intelligent Material Systems and Structures, 12: 671-680 .

11.

Srinivasan, A.V. and McFarland, D.M. 2001. Smart Structures, Analysis and Design, Cambridge University Press, Cambridge .

12.

Tanaka, K. 1986. “A Thermo-mechanical Sketch of Shape Memory Effect: One-dimensional Tensile Behavior,” Res Mechanica, 18: 251-263 .

Shape Memory Alloy in Tension and Compression and its Application as Clamping Force Actuator in a Bolted Joint: Part 2 — Modeling

Abstract

Keywords

Get full access to this article

References