Abstract
A nonlinear finite element procedure is developed which incorporates a thermodynamically derived constitutive law for shape memory alloy material behavior. The constitutive equations include the necessary internal variables to account for the material transformations and are utilized in a one-dimensional finite element procedure that captures the shape memory alloy responses of pseudoelasticity and the shape memory effect at all temperatures, stress levels and loading conditions. Detailed material properties for the alloy used are necessary for the analysis. The solution of the geometrically and physically nonlinear problem is achieved by application of a Newton's method in which a sequence of linear problems is numerically solved. Due to consistent linearization, a quadratic rate of convergence is obtained. Two test cases are presented to illustrate the potential of the finite element procedure: the use of a shape memory alloy ring as a pipe connector and eigenfrequency tuning of a composite beam with embedded shape memory wires. The results of these analyses correlate well with analytical results and the methodology for use of the finite element procedure in general cases (where shape memory effects are predominantly one-dimensional in nature) is demonstrated.
| Original language | English (US) |
|---|---|
| Title of host publication | Adaptive Structures and Material Systems |
| Editors | Walter F. Jones |
| Publisher | Publ by ASME |
| Pages | 1-10 |
| Number of pages | 10 |
| Volume | 35 |
| ISBN (Print) | 0791810410 |
| State | Published - Dec 1 1993 |
| Event | Proceedings of the 1993 ASME Winter Annual Meeting - New Orleans, LA, USA Duration: Nov 28 1993 → Dec 3 1993 |
Other
| Other | Proceedings of the 1993 ASME Winter Annual Meeting |
|---|---|
| City | New Orleans, LA, USA |
| Period | 11/28/93 → 12/3/93 |
ASJC Scopus subject areas
- Space and Planetary Science
- Mechanical Engineering