iMechanica - continuation technique
https://imechanica.org/taxonomy/term/11109
enOn the buckling and post-buckling of core-shell cylinders under thermal loading
https://imechanica.org/node/21499
<div class="field field-name-taxonomy-vocabulary-6 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/76">research</a></div></div></div><div class="field field-name-taxonomy-vocabulary-8 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/4339">Buckling and Post buckling</a></div><div class="field-item odd"><a href="/taxonomy/term/3369">bifurcation</a></div><div class="field-item even"><a href="/taxonomy/term/1687">core-shell</a></div><div class="field-item odd"><a href="/taxonomy/term/11109">continuation technique</a></div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><img src="http://homepage.fudan.edu.cn/fanxu/files/2017/07/IJSS-2017.png" alt="Churro-like pattern" width="370" height="175" /></p>
<p>There has been a strong and recent research activity to obtain tunable wrinkling patterns in film/substrate systems, which proposes to use geometric curvature as a control parameter. This paper studies core-shell cylindrical systems under thermal loads, with the aim to describe possible wrinkling modes, bifurcation diagrams and dimensionless parameters influencing the response of the system. In the companion case of axially compressed core-shell cylinders, it was established that instability modes can be axisymmetric or diamond-like, the post-buckling response of the system is governed by a single dimensionless parameter <em>Cs</em>, and the bifurcation becomes supercritical for a sufficiently stiff core. In the present case of cylindrical core-shells subjected to thermal loading, one finds quite different buckling patterns, named churro-like modes that are characterized by a fast undulation in the circumferential direction. There exists another curvature-related influencing parameter <em>Ct</em>, and a subcritical to supercritical bifurcation transition is observed when the core stiffness increases. The problem is analyzed both theoretically and numerically based on finite element calculations. Lastly, the obtained instability modes remain about the same as in pure shell structures, the main difference being the stabilization of the post-bifurcation behavior.</p>
<p>Fan Xu, Radhi Abdelmoula, Michel Potier-Ferry.</p>
<p><a href="http://dx.doi.org/10.1016/j.ijsolstr.2017.07.024">http://dx.doi.org/10.1016/j.ijsolstr.2017.07.024</a></p>
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<tr class="odd"><td><span class="file"><img class="file-icon" alt="PDF icon" title="application/pdf" src="/modules/file/icons/application-pdf.png" /> <a href="https://imechanica.org/files/Xu%20et%20al._IJSS_Core-Shell%20Cylinder.pdf" type="application/pdf; length=4533817">Xu et al._IJSS_Core-Shell Cylinder.pdf</a></span></td><td>4.32 MB</td> </tr>
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</div></div></div>Fri, 11 Aug 2017 02:39:03 +0000Fan Xu21499 at https://imechanica.orghttps://imechanica.org/node/21499#commentshttps://imechanica.org/crss/node/21499On axisymmetric/diamond-like mode transitions in axially compressed core-shell cylinders
https://imechanica.org/node/19795
<div class="field field-name-taxonomy-vocabulary-6 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/76">research</a></div></div></div><div class="field field-name-taxonomy-vocabulary-8 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/11108">post-buckling</a></div><div class="field-item odd"><a href="/taxonomy/term/3369">bifurcation</a></div><div class="field-item even"><a href="/taxonomy/term/721">phase diagram</a></div><div class="field-item odd"><a href="/taxonomy/term/11109">continuation technique</a></div><div class="field-item even"><a href="/taxonomy/term/1687">core-shell</a></div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><img src="http://homepage.fudan.edu.cn/fanxu/files/2016/04/JMPS-2.png" alt="Bifurcation diagram" width="478" height="352" /></p>
<p><span>Recent interests in curvature- and stress-induced pattern formation and pattern selection motivate the present study. Surface morphological wrinkling of a cylindrical shell supported by a soft core subjected to axial compression is investigated based on a nonlinear 3D finite element model. The post-buckling behavior of core-shell cylinders beyond the first bifurcation often leads to complicated responses with surface mode transitions. The proposed finite element framework allows predicting and tracing these bifurcation portraits from a quantitative standpoint. The occurrence and evolution of 3D instability modes including sinusoidally deformed axisymmetric patterns and non-axisymmetric diamond-like modes will be highlighted according to critical dimensionless parameters. Besides, the phase diagram obtained from dimensional analyses and numerical results could be used to guide the design of core-shell cylindrical systems to achieve the desired instability patterns.</span></p>
<p><span>Fan Xu, Michel Potier-Ferry.</span></p>
<p><span><a href="http://www.sciencedirect.com/science/article/pii/S0022509615302933"><span><span>http://dx.doi.org/10.1016/j.jmps.2016.04.025</span></span></a></span></p>
<p><span><span><strong>Keywords</strong>: Post-buckling; Bifurcation; Phase diagram; Core-shell cylinder; Continuation technique.</span></span></p>
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<tr class="odd"><td><span class="file"><img class="file-icon" alt="PDF icon" title="application/pdf" src="/modules/file/icons/application-pdf.png" /> <a href="https://imechanica.org/files/Core-shell%20cylinder_JMPS_Xu%20%26%20Potier-Ferry.pdf" type="application/pdf; length=5244404">Core-shell cylinder_JMPS_Xu & Potier-Ferry.pdf</a></span></td><td>5 MB</td> </tr>
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</div></div></div>Thu, 28 Apr 2016 02:36:57 +0000Fan Xu19795 at https://imechanica.orghttps://imechanica.org/node/19795#commentshttps://imechanica.org/crss/node/19795Error | iMechanica