| Topic: |
Science > Physics |
| User: |
"hetware" |
| Date: |
03 Nov 2006 03:38:03 AM |
| Object: |
Traction vs. Force |
I was looking for an alternative (to complement Chou and Pagano's)
exposition on the nature of stress. In particular, the derivation of the
principle stress expressions. While looking around, I stumbled upon a
definition which I do not recall having previously encountered. It is,
however, something I have long believe deserves a formally defined and
accepted term.
Is the term "traction" used with the following definition commonplace in
physics?
<quote
url="http://www.efunda.com/formulae/solid_mechanics/mat_mechanics/stress.cfm">
First, we look at the external traction T that represents the force per unit
area acting at a given location on the body's surface. Traction T is a
bound vector, which means T cannot slide along its line of action or
translate to another location and keep the same meaning.
In other words, a traction vector cannot be fully described unless both the
force and the surface where the force acts on has been specified.
</quote>
--
http://www.vho.org/GB/c/DC/gcgvcole.html
http://www.vho.org/GB/Books/dth/
http://www.germarrudolf.com/
http://www.ice.gov/pi/news/newsreleases/articles/051115chicago.htm
.
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| User: "Andy Resnick" |
|
| Title: Re: Traction vs. Force |
03 Nov 2006 08:18:25 AM |
|
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hetware wrote:
I was looking for an alternative (to complement Chou and Pagano's)
exposition on the nature of stress. In particular, the derivation of the
principle stress expressions. While looking around, I stumbled upon a
definition which I do not recall having previously encountered. It is,
however, something I have long believe deserves a formally defined and
accepted term.
Is the term "traction" used with the following definition commonplace in
physics?
<snip>
Not really. It's seen when discussing the developments of continuum
mechanics (like derivations of Cauchy's laws), but the concept of
traction has been subsumed into the stress tensor and jump conditions
across an interface.
If you want an authoritative and axiomatic discussion of continuum
mechanics, you should be reading Truesdell.
--
Andrew Resnick, Ph.D.
Department of Physiology and Biophysics
Case Western Reserve University
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