1. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Local Material Basis Solution Approach to Reconstructing the Three-Dimensional Displacement of Rod-Like Structures From Strain Measurements
J. Appl. Mech. 2013;80(4): doi: /
Figure Legend:
Model geometry and material-adapted frame

2. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Local Material Basis Solution Approach to Reconstructing the Three-Dimensional Displacement of Rod-Like Structures From Strain Measurements
J. Appl. Mech. 2013;80(4): doi: /
Figure Legend:
A two- (left) and three- (right) dimensional example of a material reference frame: T (dashed lines), KV (solid lines), and KH (dotted lines); the curve centerline is shown in gray

3. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Local Material Basis Solution Approach to Reconstructing the Three-Dimensional Displacement of Rod-Like Structures From Strain Measurements
J. Appl. Mech. 2013;80(4): doi: /
Figure Legend:
Geometry for the determination of strain at arbitrary surface point Q

4. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Local Material Basis Solution Approach to Reconstructing the Three-Dimensional Displacement of Rod-Like Structures From Strain Measurements
J. Appl. Mech. 2013;80(4): doi: /
Figure Legend:
A representative view of the longitudinal (T-direction) strain field response from the finite element model

5. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Local Material Basis Solution Approach to Reconstructing the Three-Dimensional Displacement of Rod-Like Structures From Strain Measurements
J. Appl. Mech. 2013;80(4): doi: /
Figure Legend:
Comparison of simulation 1 centerlines of exact (black solid lines) and reconstructed via strain (gray dashed lines) displacements of the steel tube using 10 sensors (upper left), 20 sensors (upper right), 50 sensors (lower left), and 100 sensors (lower right)

6. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Local Material Basis Solution Approach to Reconstructing the Three-Dimensional Displacement of Rod-Like Structures From Strain Measurements
J. Appl. Mech. 2013;80(4): doi: /
Figure Legend:
Comparison of simulation 2 centerlines of exact (black solid lines) and reconstructed via strain (gray dashed lines) displacements of the steel tube using 10 sensors (upper left), 20 sensors (upper right), 50 sensors (lower left), and 100 sensors (lower right)

7. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Local Material Basis Solution Approach to Reconstructing the Three-Dimensional Displacement of Rod-Like Structures From Strain Measurements
J. Appl. Mech. 2013;80(4): doi: /
Figure Legend:
Root mean square error for simulation 1 (left) and simulation 2 (right) for noise-free and two additive uniform noise levels, as a function of sensor count

8. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Local Material Basis Solution Approach to Reconstructing the Three-Dimensional Displacement of Rod-Like Structures From Strain Measurements
J. Appl. Mech. 2013;80(4): doi: /
Figure Legend:
Same data as in Fig. 6 (top right), except the boundary condition was specified at s = 100 m instead of s = 0

9. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Local Material Basis Solution Approach to Reconstructing the Three-Dimensional Displacement of Rod-Like Structures From Strain Measurements
J. Appl. Mech. 2013;80(4): doi: /
Figure Legend:
Average root mean square error in shape reconstruction for both simulations as a function of the uncertainty level in the initial displacement conditions at the proximal end (s = 0)

10. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Local Material Basis Solution Approach to Reconstructing the Three-Dimensional Displacement of Rod-Like Structures From Strain Measurements
J. Appl. Mech. 2013;80(4): doi: /
Figure Legend:
Schematic showing the location of sensor failures

11. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Local Material Basis Solution Approach to Reconstructing the Three-Dimensional Displacement of Rod-Like Structures From Strain Measurements
J. Appl. Mech. 2013;80(4): doi: /
Figure Legend:
Photographs of the four imposed planar displacements on the experimental test structure. The reader is informed that the view changed among the photographs from proximal to distal to proximal to distal end, from left to right.

12. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Local Material Basis Solution Approach to Reconstructing the Three-Dimensional Displacement of Rod-Like Structures From Strain Measurements
J. Appl. Mech. 2013;80(4): doi: /
Figure Legend:
A comparison of actual (black dots) and reconstructed (gray solid line) shapes for the four experimental test shapes of the hose structure