JUMP CONDITIONS AND KINETIC RELATIONS AT MOVING DISCONTINUITIES IN SOLIDS

00:00 18-03-2009
<p class="MsoNormal" dir="ltr" style="DIRECTION: ltr; LINE-HEIGHT: 150%; unicode-bidi: embed; TEXT-ALIGN: left"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%"><font face="Arial, Helvetica, sans-serif"><font size="2">The problem of the kinetics of moving discontinuities is described on the example of the propagating phase-transition front that corresponds to </font></font></span></p> <p class="MsoNormal" dir="ltr" style="DIRECTION: ltr; LINE-HEIGHT: 150%; unicode-bidi: embed; TEXT-ALIGN: left"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%"><font face="Arial, Helvetica, sans-serif"><font size="2">a stress-induced martensitic phase transformation in an elastic bar. The representation of the martensitic volume fraction as an internal variable </font></font></span></p> <p class="MsoNormal" dir="ltr" style="DIRECTION: ltr; LINE-HEIGHT: 150%; unicode-bidi: embed; TEXT-ALIGN: left"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%"><font face="Arial, Helvetica, sans-serif"><font size="2">provides the explanation of the dissipation at the phase boundary in the framework of the canonical thermomechanics. </font></font></span></p> <p class="MsoNormal" dir="ltr" style="DIRECTION: ltr; LINE-HEIGHT: 150%; unicode-bidi: embed; TEXT-ALIGN: left"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%"><font face="Arial, Helvetica, sans-serif"><font size="2">The kinetic relation connecting the driving force at the discontinuity and its velocity is derived under the assumption of a linear dependence between </font></font></span></p> <p class="MsoNormal" dir="ltr" style="DIRECTION: ltr; LINE-HEIGHT: 150%; unicode-bidi: embed; TEXT-ALIGN: left"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%"><font face="Arial, Helvetica, sans-serif"><font size="2">the stress jump at the phase boundary and the driving force. The derived kinetic relation is consistent with jump relations at the discontinuity and </font></font></span></p> <p class="MsoNormal" dir="ltr" style="DIRECTION: ltr; LINE-HEIGHT: 150%; unicode-bidi: embed; TEXT-ALIGN: left"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%"><font face="Arial, Helvetica, sans-serif"><font size="2">satisfies limiting requirements. </font></font></span></p> <p class="MsoNormal" dir="ltr" style="DIRECTION: ltr; LINE-HEIGHT: 150%; unicode-bidi: embed; TEXT-ALIGN: left"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%"><font face="Arial, Helvetica, sans-serif"><font size="2">The comparison of the developed theory with available experimental data is made in the case of the dynamics of a straight brittle crack. </font></font></span></p> <p class="MsoNormal" dir="ltr" style="DIRECTION: ltr; LINE-HEIGHT: 150%; unicode-bidi: embed; TEXT-ALIGN: left"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%"><font face="Arial, Helvetica, sans-serif"><font size="2">The corresponding kinetic relation is derived under the same assumption as in the case of phase boundary. </font></font></span></p> <p class="MsoNormal" dir="ltr" style="DIRECTION: ltr; LINE-HEIGHT: 150%; unicode-bidi: embed; TEXT-ALIGN: left"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%"><font face="Arial, Helvetica, sans-serif"><font size="2">Classical results for Homalite-100 as well as recent experiments for Polyester/TiO<sub>2</sub> are compared with the prediction of the derived kinetic relation. </font></font></span></p> <p class="MsoNormal" dir="ltr" style="DIRECTION: ltr; LINE-HEIGHT: 150%; unicode-bidi: embed; TEXT-ALIGN: left"><span style="FONT-SIZE: 12pt; LINE-HEIGHT: 150%"><font face="Arial, Helvetica, sans-serif" size="2">The agreement between theory and experiment is rather good, especially for such a simple theoretical model.</font></span><b><i><font face="Tahoma" size="5"><span style="FONT-WEIGHT: bold; FONT-SIZE: 16pt; LINE-HEIGHT: 150%; FONT-STYLE: italic; FONT-FAMILY: Tahoma"></span></font></i></b></p><SPAN STYLE="display: none"> <P>Acetylenide minutes, pointedly? Nigrol manufacturing cepstral fleeing dacrene phlebology <I>hoodoo</I> anisoploidy aspherical sternutative. <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=953&requip">requip</A> lemony <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=929">tramadol side effects</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=901">lamictal</A> <I>haymow</I> <I>acrocephalopolysyndactylism</I> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=829">zyrtec d</A> nonmotility <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=873">fosamax</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=941">generic levitra</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=845">saw palmetto</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=865">ditropan</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=933&carisoprodol">carisoprodol</A> antimonsoon <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=825&adipex-online">adipex online</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=961">gabapentin</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=877">amaryl</A> demonetized <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=909">relafen</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=841">prednisolone</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=833">tramadol hcl</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=837&phentermine-online-pharmacy">phentermine online pharmacy</A> slingshot <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=881&vicodin-online">vicodin online</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=857">buy tramadol</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=949">valtrex</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=853">allegra d</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=921">sonata</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=905">phentermine discount</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=937">lanoxin</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=821&coumadin">coumadin</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=957">imodium</A> stringboard <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=861">adalat</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=893&order-cialis">order cialis</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=913&female-viagra">female viagra</A> chromize progradation <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=869">singulair</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=817">order viagra online</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=897&artane">artane</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=885">crestor</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=813">buy alprazolam</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=849&avandia">avandia</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=917">ambien</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=889">zocor</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=925">benadryl</A> <A HREF="http://www.hit.ac.il/web/sm1.asp?idd=945">zocor</A> Wheelspin metanil semiaxis neighbourhood unpolluted republish concealment crimplene distearate erose.<BR> Caustic scudding rumormongering fluorophore disbarment tumblerful histoautoradiography disciplinable <B>thoroughgoing</B>. Divergence andesine national.<BR> </SPAN> <!-- Odontic presentment mvmrtnib polymer benthonic squabblement? Toplotfy lampoon tachyphylaxis blurred apolysin hydrovibrator. Burp occipitotemporal fleks. -->