When exerting a force on an isotropic material , the deformation of its dimensions is proportional to the exerted force .
There are Two Types of deformations:
1. Elastic: the material gains back its original shape
2. Plastic: the deformation is permanent.
T=F/A
Hooke's Law: A Law stating that, in a linear system, the restoring force is proportional to the displacement of the body, acting in a direction as to restore equilibrium.
Where
F = restoring force [N]
k = spring constant [Nm-1]
x = elongation of material [m]
The exerted force on a body is directly proportional with the change in its length.
F=kΔX E=KLo/A
Generalized hook’s law:
εx=Tx/E-σTy/E-σTz/E
εy=1/E [Ty-σ(Tx+Tz)]
εz=1/E [Tz-σ(Ty+Tz)]
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This Document is from Mit Physics department and its free to view ,
Author : H.Frank Morrison
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