iMechanica - Comments for "non-linear friction in FE"
https://imechanica.org/node/9218
Comments for "non-linear friction in FE"enCoulomb Friction
https://imechanica.org/comment/15746#comment-15746
<a id="comment-15746"></a>
<p><em>In reply to <a href="https://imechanica.org/node/9218">non-linear friction in FE</a></em></p>
<div class="field field-name-comment-body field-type-text-long field-label-hidden"><div class="field-items"><div class="field-item even"><p>
Dear Chris,
</p>
<p>
the following might help: </p>
<p>
Laursen, T.A. (1992), <em>Formulation and Treatment of Frictional<br />
Contact<br />
Problems Using Finite Elements</em>, Ph.D. Dissertation, Department of<br />
Mechanical<br />
Engineering, Stanford University.
</p>
<p>
Kim, T.Y., J.E. Dolbow & T.A. Laursen (2007), "A Mortared Finite<br />
Element Method for Frictional<br />
Contact on Arbitrary Surfaces," <em>Computational Mechanics</em>, <strong>39</strong>,<br />
223-235.
</p>
<p>
From the mathematical side, a contact problem with Coulomb friction is modelled by variational inequalties. If it is this, what you are interested in, then
</p>
<p>
I suggest the following:
</p>
<p>
Contact<br />
Problems in Elasticity: A Study of Variational Inequalities and Finite<br />
Element Methods N.<br />
Kikuchi and J.T. Oden 1988 / xiii + 495 pages / Softcover / ISBN-13:<br />
978-0-898714-68-5 / ISBN-10: 0898714680
</p>
<p>
</p>
<p>
<strong>K. Fackeldey, R. Krause:</strong><a href="http://www.zib.de/fackeldey/publications/FackeldeyKrause07.pdf"><br />
Solving Frictional Contact Problems with Multigrid Efficiency</a>, <em>Proc.of<br />
the 16th International Conference on Domain Decomposition Methods,<br />
Widlund, Olof B.; Keyes, David E. (Eds.), Lecture Notes in Computational<br />
Science and Engineering,p. 547-554 Vol. 55 (2007).</em>
</p>
<p>
</p>
<p>
I hope It will help you.
</p>
<p>
Best
</p>
<p>
Konstantin
</p>
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</p>
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</p>
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</p>
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</p>
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</ul>Mon, 08 Nov 2010 07:30:01 +0000fackeldeycomment 15746 at https://imechanica.orghope it would help
https://imechanica.org/comment/15722#comment-15722
<a id="comment-15722"></a>
<p><em>In reply to <a href="https://imechanica.org/node/9218">non-linear friction in FE</a></em></p>
<div class="field field-name-comment-body field-type-text-long field-label-hidden"><div class="field-items"><div class="field-item even"><p><span class="Apple-style-span"><strong>Y.F. Gao</strong></span><span class="Apple-style-span">*</span><span class="Apple-style-span">, "A Peierls perspective on mechanisms of atomic friction."</span><span class="Apple-style-span"><em>Journal of the Mechanics and Physics of Solids</em></span><span class="Apple-style-span">, vol. 58, iss. 12, pp. 2023-2032, 2010 [</span><span class="Apple-style-span"><a href="http://web.utk.edu/~ygao7/publications/gao_jmps10.pdf">PDF</a></span><span class="Apple-style-span">] [</span><span class="Apple-style-span"><a href="http://dx.doi.org/10.1016/j.jmps.2010.09.014">DOI</a></span><span class="Apple-style-span">].</span></p>
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</ul>Tue, 02 Nov 2010 16:12:04 +0000Tianlei Licomment 15722 at https://imechanica.orgError | iMechanica