The effects of third-order torque and self - Saint Louis University
The effects of third-order torque and self - Saint Louis University
The effects of third-order torque and self - Saint Louis University
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CHAPTER 2: REVIEW OF THE LITERATURE<br />
Classical Friction<br />
In the orthodontic literature, friction was discussed<br />
as early as 1960 when Stoner 1 warned <strong>of</strong> the difficulty in<br />
determining the amount <strong>of</strong> force to be applied to a tooth<br />
because <strong>of</strong> the role <strong>of</strong> frictional resistance. Our current<br />
underst<strong>and</strong>ing <strong>of</strong> friction impairing tooth movement is based<br />
largely on long-st<strong>and</strong>ing theories, not directly related to<br />
orthodontics, by Leonardo Da Vinci, Guillaume Amontons, <strong>and</strong><br />
Charles-Augustin Coulomb. Although Da Vinci’s work was not<br />
published until the other investigators had carried out<br />
friction experiments, he left behind the earliest known<br />
studies on the subject in a collection <strong>of</strong> journals in which<br />
he detailed his research. 2 Collectively, these scientists<br />
are credited with establishing the classical laws <strong>of</strong><br />
friction, or the Amontons-Coulomb laws, which state the<br />
following: 1. Frictional force is proportional to normal<br />
force; 2. Frictional force is independent <strong>of</strong> contact-area;<br />
3. Frictional force is independent <strong>of</strong> sliding velocity. 2,3<br />
Friction is defined as the resistance to motion<br />
when one object moves or tends to move tangentially<br />
relative to another object. 4 <strong>The</strong> total contact-force<br />
3