nikolafmf
Mar16-11, 04:35 PM
I have the folowing continuum mechanics problem which I can't solve:
The unit elongations at a certain point on the surface of a body are measured experimentally by means of strain gages that are arranged at 60° in the direction of 0°, 60° and 120°. Coordinate system is rectangular Cartesian, defined by e1 at 0° and e2 at 90°. If the unit elongations are designated by a, b, c, respectively, what is the strain component E12?
Now I know how to calculate elongation in a certain direction n: it is nEn, where E is written in the coordinate system given above, E is the infinitesimal strain tensor. But what is E12?
Now my idea is to rotate tensor E for 60, or 120 degrees and to take its E'11 component as the given elongation at 60, or 120 degress respectively. From that should be possible to find E12.
The unit elongations at a certain point on the surface of a body are measured experimentally by means of strain gages that are arranged at 60° in the direction of 0°, 60° and 120°. Coordinate system is rectangular Cartesian, defined by e1 at 0° and e2 at 90°. If the unit elongations are designated by a, b, c, respectively, what is the strain component E12?
Now I know how to calculate elongation in a certain direction n: it is nEn, where E is written in the coordinate system given above, E is the infinitesimal strain tensor. But what is E12?
Now my idea is to rotate tensor E for 60, or 120 degrees and to take its E'11 component as the given elongation at 60, or 120 degress respectively. From that should be possible to find E12.