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Robert
Hooke studied the uniaxial force required to extend springs and long straight
wires and found it to be proportional to the extension of the device under
test. He stated his observation as "Ut tensio, sic vis" - - As the extension,
so is the force.
This
linear elastic response has been formalized into the stress/strain relationship
known as Hooke's Law:
For a generalized three-dimensional stress field a tensor form of the above relation is appropriate to characterize the linear elastic response of a Hookian material: sij = Cijkl ekl. Here, sij is the stress tensor, Cijkl is the elastic constant matrix, and ekl is the strain tensor. |
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Robert
Hooke, UK
(1635 - 1703) |
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