| TABLE
IV: Action Modes |
| Action/Shape |
Typical Geometry |
Geometry |
k |
Primary Mode of
Motion or Applied Force |
| 1. Parallel longitudinal mode |
 |
l > 3d |
kl33 |
 |
| 2.a. Transverse length mode |
 |
l > 3w > 3t |
kl31 |
 |
| 2.b. Transverse width mode |
w < .3l
w > 3t |
kw31 |
| 3. Transverse ring mode |
 |
do > 3h > 3t |
keff
=
k31 |
 |
| 4. Parallel width mode |
 |
w < .3l
w > 3t |
kw33 |
 |
| 5. a. Planar mode |
 |
d > 5t |
kp |
 |
| 5. b. Thickness extensional mode |
t < .2d |
kt33 |
| 6. Thickness shear, parallel
E |
 |
t < .2w
t < .2l |
kt15 |
 |
| 7. Thin wall hollow cylinder |
 |
do > 8t
l > 5t |
k31 |
 |
| 8. Striped hollow cylinder |
 |
do > 8t |
k33 |
 |
| 9. Hemisphere |
 |
do > 8t |
kp |
 |
| 10. Hollow sphere |
 |
do > 8t |
keff
=
kp |
 |
