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<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>The department of
Mathematics and Statistics invites you to a seminar by </span></font><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:navy'>Prof. Cornelius Horgan (<st1:PlaceType w:st="on">School</st1:PlaceType>
of <st1:PlaceName w:st="on">Engineering</st1:PlaceName> and Applied Science, <st1:place
w:st="on"><st1:City w:st="on">University of Virginia</st1:City>, <st1:country-region
w:st="on">USA</st1:country-region></st1:place>): </span></font><font
color=black><span style='color:black'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'> <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>---------------------------------------------------------------------------------------</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>Title: </span></font><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:navy'>Nonlinear elasticity theory: a rich source of interesting
mathematical problems</span></font><o:p></o:p></p>
<p><font size=2 color=navy face=Arial><span lang=EN-IE style='font-size:10.0pt;
font-family:Arial;color:navy'>Abstract: </span></font><font size=2
color=navy face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:navy'>Continuum mechanics theories for solids and fluids have played a
significant role in the development of many areas of applied mathematics. For
example, the classical theory of linear elasticity, applicable to the
mechanical behaviour of metals, has been an important motivation for the study
of important linear partial differential equations and systems of such
equations. Here we describe how the nonlinear theory of hyperelastic materials,
applicable to the mechanical behaviour of rubber and soft biological tissues,
plays an analogous role. The basic theory of continuum mechanics of such
materials is first reviewed. Some classical models relating stress and strain
in rubber-like materials are described as well as more recent models applicable
to biomaterials. Some particular deformation modes are then described leading
to the governing quasilinear partial differential equations and systems of such
equations. This lecture is of expository nature and assumes no prior
familiarity with continuum mechanics theories. The main objective is to
demonstrate that nonlinear elasticity theory, in addition to being a
fundamental theory in the mechanics of a wide variety of materials, continues
to provide a rich source of interesting and challenging mathematical problems. </span></font><o:p></o:p></p>
<p><font size=2 color=navy face=Arial><span style='font-size:10.0pt;font-family:
Arial;color:navy'>--------------------------------------------------------------------------------------</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>The seminar will take place on <b><span
style='font-weight:bold'>Friday 9th April, at 4pm</span></b>, in A2-002.</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'> <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>If you have any questions regarding this
seminar, please direct them to Sarah Mitchell (061 202259, <span
class=MsoHyperlink><span
title="outbind://121-00000000C1A689401BDE4B4893D81CEAFD77A28E070080AEB26148A17948A92963B516BA5B84000238330164000080AEB26148A17948A92963B516BA5B84000238336A160000/"><font
color=navy
title="outbind://121-00000000C1A689401BDE4B4893D81CEAFD77A28E070080AEB26148A17948A92963B516BA5B84000238330164000080AEB26148A17948A92963B516BA5B84000238336A160000/ blocked::mailto:sarah.mitchell@ul.ie"><span
title="outbind://121-00000000C1A689401BDE4B4893D81CEAFD77A28E070080AEB26148A17948A92963B516BA5B84000238330164000080AEB26148A17948A92963B516BA5B84000238336A160000/ blocked::mailto:sarah.mitchell@ul.ie"><span
style='color:navy;text-decoration:none'>sarah.mitchell@ul.ie</span></span></font></span></span>).
A full list of Seminars for this semester can be found at: </span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'> <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><a
href="http://www.staff.ul.ie/mitchells/MACSI_seminars.html"
title="http://www.staff.ul.ie/mitchells/MACSI_seminars.html blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><font
color=navy
title="http://www.staff.ul.ie/mitchells/MACSI_seminars.html blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><span
title="http://www.staff.ul.ie/mitchells/MACSI_seminars.html blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><span
title="http://www.staff.ul.ie/mitchells/MACSI_seminars.html blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><span
style='color:navy;text-decoration:none'><span
title="http://www.staff.ul.ie/mitchells/MACSI_seminars.html">http://www.staff.ul.ie/mitchells/MACSI_seminars.html</span></span></span></font></span></a></span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'> <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>----------------------------------------------------------------------------</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>Supported by Science
Foundation Ireland Mathematics Initiative funding, MACSI - the Mathematics
Applications Consortium for Science and Industry (<span class=MsoHyperlink><span
title="blocked::www.macsi.ie"><font color=navy title="blocked::www.macsi.ie"><span
title="blocked::www.macsi.ie"><span style='color:navy;text-decoration:none'>www.macsi.ul.ie</span></span></font></span></span>),
centred at the University of Limerick, is dedicated to the mathematical
modelling and solution of problems which arise in science, engineering and
industry in Ireland</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>----------------------------------------------</span></font><o:p></o:p></p>
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12.0pt'><img border=0 width=142 height=142 id="_x0000_i1025"
src="cid:image001.jpg@01CAD74C.37C368C0" align=baseline><o:p></o:p></span></font></p>
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12.0pt'><o:p> </o:p></span></font></p>
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