<table cellspacing="0" cellpadding="0" border="0"> <tr><td height="14"></td></tr> <tr align="center" valign="middle"> <td width="208"><a href="pages/page_1.html"><img src="thumbnails/s1.jpg" width="180" height="77" border="0" hspace="14" vspace="0" alt="Left: wrinkled viscous sheet that has sagged onto a flat surface; Right: Unwrinkled viscous sheet"></a></td> <td width="208"><a href="pages/page_2.html"><img src="thumbnails/s2.jpg" width="180" height="164" border="0" hspace="14" vspace="0" alt="Wrinkles due to rotation of a hub in a stretched circular Mylar sheet"></a></td> <td width="208"><a href="pages/page_3.html"><img src="thumbnails/s3.jpg" width="158" height="180" border="0" hspace="14" vspace="0" alt="Wrinkles around the inner hole of a uniformly tensioned annulus with applied in-plane uniform circumferential displacement at the inner radius"></a></td> <td width="208"><a href="pages/page_4.html"><img src="thumbnails/s4.jpg" width="180" height="162" border="0" hspace="14" vspace="0" alt="Wrinkling of a tympanic membrane under unbalanced pressure"></a></td> <td width="208"><a href="pages/page_5.html"><img src="thumbnails/s5.jpg" width="180" height="76" border="0" hspace="14" vspace="0" alt="Rectangular membrane under shear"></a></td> </tr> <tr><td height="5"></td></tr> <tr align="center" valign="top"> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Left: wrinkled viscous sheet that has sagged onto a flat surface; Right: Unwrinkled viscous sheet</small></td></tr></table></td> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Wrinkles due to rotation of a hub in a stretched circular Mylar sheet</small></td></tr></table></td> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Wrinkles around the inner hole of a uniformly tensioned annulus with applied in-plane uniform circumferential displacement at the inner radius</small></td></tr></table></td> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Wrinkling of a tympanic membrane under unbalanced pressure</small></td></tr></table></td> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Rectangular membrane under shear</small></td></tr></table></td> </tr> <tr><td height="14"></td></tr> <tr><td height="14"></td></tr> <tr align="center" valign="middle"> <td width="208"><a href="pages/page_6.html"><img src="thumbnails/s6.jpg" width="180" height="174" border="0" hspace="14" vspace="0" alt="Two ABAQUS finite element models of the same membrane under shear"></a></td> <td width="208"><a href="pages/page_7.html"><img src="thumbnails/s7.jpg" width="180" height="100" border="0" hspace="14" vspace="0" alt="Wrinkles that form in a rectangular membrane under uniform tension"></a></td> <td width="208"><a href="pages/page_8.html"><img src="thumbnails/s8.jpg" width="146" height="180" border="0" hspace="14" vspace="0" alt="Wrinkle patterns for a 0.025 mm thick Kapton film under shear displacements (from experiment)"></a></td> <td width="208"><a href="pages/page_9.html"><img src="thumbnails/s9.jpg" width="180" height="57" border="0" hspace="14" vspace="0" alt="Figure 6. Perspective view of wrinkle pattern, for membrane in shear with δ = 3 mm. (From ABAQUS finite element model)"></a></td> <td width="208"><a href="pages/page_10.html"><img src="thumbnails/s10.jpg" width="180" height="106" border="0" hspace="14" vspace="0" alt="Figure15. Wrinkled shape for T1=20N and T2=5N (amplified 10 times; ABAQUS finite element model)"></a></td> </tr> <tr><td height="5"></td></tr> <tr align="center" valign="top"> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Two ABAQUS finite element models of the same membrane under shear</small></td></tr></table></td> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Wrinkles that form in a rectangular membrane under uniform tension</small></td></tr></table></td> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Wrinkle patterns for a 0.025 mm thick Kapton film under shear displacements (from experiment)</small></td></tr></table></td> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Figure 6. Perspective view of wrinkle pattern, for membrane in shear with δ = 3 mm. (From ABAQUS finite element model)</small></td></tr></table></td> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Figure15. Wrinkled shape for T1=20N and T2=5N (amplified 10 times; ABAQUS finite element model)</small></td></tr></table></td> </tr> <tr><td height="14"></td></tr> <tr><td height="14"></td></tr> <tr align="center" valign="middle"> <td width="208"><a href="pages/page_11.html"><img src="thumbnails/s11.jpg" width="70" height="180" border="0" hspace="14" vspace="0" alt="Comparison between test and theory (ABAQUS) of normal deflections at three cross sections, A, B, C (see previous slide)"></a></td> <td width="208"><a href="pages/page_12.html"><img src="thumbnails/s12.jpg" width="180" height="147" border="0" hspace="14" vspace="0" alt="Types of thin sheet buckling during rolling process"></a></td> <td width="208"><a href="pages/page_13.html"><img src="thumbnails/s13.jpg" width="180" height="147" border="0" hspace="14" vspace="0" alt="Wrinkles in a longitudinally stretched thin film"></a></td> <td width="208"><a href="pages/page_14.html"><img src="thumbnails/s14.jpg" width="180" height="67" border="0" hspace="14" vspace="0" alt="Graphene wrinkling"></a></td> <td width="208"><a href="pages/page_15.html"><img src="thumbnails/s15.jpg" width="180" height="74" border="0" hspace="14" vspace="0" alt="Establishing by design a winkling pattern in a graphene sheet"></a></td> </tr> <tr><td height="5"></td></tr> <tr align="center" valign="top"> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Comparison between test and theory (ABAQUS) of normal deflections at three cross sections, A, B, C (see previous slide)</small></td></tr></table></td> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Types of thin sheet buckling during rolling process</small></td></tr></table></td> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Wrinkles in a longitudinally stretched thin film</small></td></tr></table></td> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Graphene wrinkling</small></td></tr></table></td> <td width="208"><table cellspacing="0" cellpadding="5" border="0"><tr><td align="center"><small class="title">Establishing by design a winkling pattern in a graphene sheet</small></td></tr></table></td> </tr> <tr><td height="14"></td></tr> </table>

soft shells and membranes

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Sunday, December 27, 2020