Description
A three-point bending test is performed on a Nitinol wire of circular cross section with diameter d =1.49 mm. The wire is 20 mm long and it is simply supported at both ends.
- Obtain the graph of the applied force versus deflection for the mid-span section of the wire.
- Verify that increasing the ultimate plastic strain for the material results in a closer match with experimental results.
Displacement control is used to solve this problem. The node for displacement control is selected to be same as the node where the force is applied. This node is displaced 5.2 mm in the direction of the force and then brought back to zero.
File Name
Browse to drive
letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS
version\samples\Simulation
Examples\Verification\Nonlinear_Static_14.SLDPRT and open the
file.
Meshing Parameters
Use element size of 0.3 mm.
Material Model
Nitinol. Three studies are used (Sample_1, Sample_2, and Sample_3) with different Ultimate plastic strain measure (Tension) of 0.092 mm/mm, 0.15 mm/mm, and 0.092 mm/mm. Sample_3 differs from Sample_1 by using Exponential flow rule. Refer to the material definition in each study for details.
Results
The load factor versus UX displacement curve at the point of force application is shown for the three studies. Curves from study Sample_1 and Sample_2 show close agreement with the reference. The figure from study Sample_3 shows closer results to experimental data presented in the same reference.
Load factor (vertical) versus UX Displacement in mm (horizontal) for study Sample_1.
Load factor (vertical) versus UX Displacement in mm (horizontal) for study Sample_2.
Load factor (vertical) versus UX Displacement in mm (horizontal) for study Sample_3.
Reference
Auricchio, F., Taylor, R.L., and Lubliner, J., “Shape-Memory-Alloys: Macromodeling and Numerical Simulations of the Superelastic Behavior”, Computer Methods in Applied Mechanics and Engineering, vol. 146, pp. 281-312, 1997.