iMechanica - Comments for "Fracture of Rubber"
https://imechanica.org/node/7773
Comments for "Fracture of Rubber"enmechanical behavior of rubber
https://imechanica.org/comment/26948#comment-26948
<a id="comment-26948"></a>
<p><em>In reply to <a href="https://imechanica.org/node/7773">Fracture of Rubber</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>Hello </p>
<p> </p>
<p>Please i would like to ask you a question about orthodontic ligature. I serach to model it in abaqus but i don't know how to choose the behavior low to introduce it in abaqus. All that i know about this material is that it is an elastomer. Can anyone help me please? </p>
<p>thanks a lot </p>
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</ul>Thu, 05 Mar 2015 14:25:31 +0000DRIDIAFEFcomment 26948 at https://imechanica.orgRe: A small mistake in the notes
https://imechanica.org/comment/25277#comment-25277
<a id="comment-25277"></a>
<p><em>In reply to <a href="https://imechanica.org/comment/25275#comment-25275">A small mistake in the notes</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>Thank you very much! I'll post updated notes when I teach the course again in the Spring of 2014.</p>
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</ul>Fri, 20 Dec 2013 15:41:17 +0000Zhigang Suocomment 25277 at https://imechanica.orgA small mistake in the notes
https://imechanica.org/comment/25275#comment-25275
<a id="comment-25275"></a>
<p><em>In reply to <a href="https://imechanica.org/node/7773">Fracture of Rubber</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 Zhigang,
</p>
<p>
Thanks for your helpful notes. I learned a lot from them when studying the course of fracture mechanics.
</p>
<p>
While reading the note, I found a small mistake. On page 4, the energy release rate G for the "simple extension" test should be equal to 2*F*lambda/t-2*W*a instead of its negative, 2*W*a-2*F*lambda/t.
</p>
<p>
Yalin
</p>
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</ul>Fri, 20 Dec 2013 04:48:36 +0000Yalin Yucomment 25275 at https://imechanica.orgRivlin's Autobiographic Postscript to the Collected Papers
https://imechanica.org/comment/13835#comment-13835
<a id="comment-13835"></a>
<p><em>In reply to <a href="https://imechanica.org/node/7773">Fracture of Rubber</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>
Rivlin wrote a remarkably detailed autobiogrpphic postscript to his collected papers. You can <a href="http://books.google.com/books?id=R7rZuJHejsoC&printsec=frontcover&dq=collected+papers+of+r.s.+rivlin&ei=K4CdS9u0I5jsyAT50eHoDA&cd=1#v=onepage&q=&f=false">read much of it for free at Google Book</a>. Of direct relevance to our<br />
lecture are the following passages from Rivlin's autobiography:
</p>
<p>
“With regard to the problem of tearing, my first idea was to examine the validity of a criterion of the Griffith type, according to which an existing tear in a test-piece held at constant extension will grow if the elastic energy thereby released exceeds the increase in the surface energy. Griffith was concerned with glass, for which the elastic deformations are small, so that classical elasticity theory can be used to calculate the energy release. In the case of vulcanized rubber the large deformations involved rendered similar calculations impossible at the time, although such calculations were carried out much later by Lindley using finite-element methods. We therefore devised experiments in which the necessity for elaborate calculations was avoided. My (not very firm) expectation was that the Griffith criterion would not apply. I was therefore somewhat surprised when we found it possible, by measuring force required to tear a test-piece with a preexisting cut, to calculate a characteristic tearing energy that could be used to predict the tearing force for test pieces for which the forces were orders of magnitude different. This characteristic energy was, however, many orders of magnitude greater than one would expect for a surface energy. We interpreted it as the energy expended in the irreversible processes that take place in a neighborhood of the crack prior to its formation.
</p>
<p>
“Although the work was not published until 1953, it was substantially completed by the summer of 1950, and I lectured on it in George Irwin’s department at the Naval Research Laboratory in the fall of 1950.”
</p>
<p>
In the course, I have divided the fracture mechanics of rubber into two lectures:
</p>
<ul><li>Lecture 1. <a href="http://imechanica.org/files/Fracture%20of%20rubber%202010%2003%2009.pdf">Fracture mechanics without specifying any field theory</a>.</li>
<li>Lecture 2. <a href="http://imechanica.org/node/7794">Fracture mechanics within nonlinear field theory of elasticity</a>.
</li>
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</ul>Mon, 15 Mar 2010 01:20:00 +0000Zhigang Suocomment 13835 at https://imechanica.orgDear Zhigang,
This is a
https://imechanica.org/comment/13805#comment-13805
<a id="comment-13805"></a>
<p><em>In reply to <a href="https://imechanica.org/node/7773">Fracture of Rubber</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 Zhigang,
</p>
<p>
This is a very good note for me.
</p>
<p>
I will use it for the discussion with my students, especially for the validation of my numerical schemes.
</p>
<p>
Thanks.
</p>
<p>
</p>
<p>
Best,
</p>
<p>
Jung-Wuk
</p>
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</ul>Thu, 11 Mar 2010 01:28:05 +0000Jung W. Hongcomment 13805 at https://imechanica.orgField around the tip of a crack in rubber
https://imechanica.org/comment/13804#comment-13804
<a id="comment-13804"></a>
<p><em>In reply to <a href="https://imechanica.org/comment/13803#comment-13803">Zhigang, in class, you touch</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>Yes. See details reviewed in the paper by Krishnan, Hui and Long (2008) listed at the end of the <a href="http://imechanica.org/files/Fracture%20of%20rubber%202010%2003%2009.pdf">class notes</a>.</p>
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</ul>Thu, 11 Mar 2010 00:40:45 +0000Zhigang Suocomment 13804 at https://imechanica.orgZhigang, in class, you touch
https://imechanica.org/comment/13803#comment-13803
<a id="comment-13803"></a>
<p><em>In reply to <a href="https://imechanica.org/node/7773">Fracture of Rubber</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>Zhigang, in class, you touch upon the crack tip field for rubber (by Caltech?). If assuming neohookean material model, does the "same k, same fracture process"-type argument still apply? In other word, is there still an annulus zone where non-linear elastic solution can approximate well the stress field, like the William's solution in the linear elastic case?</p>
<p>Li Han</p>
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</ul>Thu, 11 Mar 2010 00:02:36 +0000Li Hancomment 13803 at https://imechanica.orgError | iMechanica