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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>): <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'><o:p>&nbsp;</o:p></span></font></p>

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10.0pt;font-family:Arial;color:navy'>---------------------------------------------------------------------------<o:p></o:p></span></font></p>

<p class=MsoBodyText><font size=2 color=navy face=Arial><span lang=EN-US
style='font-size:10.0pt;font-family:Arial;color:navy'>Title: </span></font><font
size=2 color=navy face=Arial><span lang=EN-US style='font-size:10.0pt;
font-family:Arial;color:navy'>Nonlinear elasticity theory: a rich source of
interesting mathematical problems<o:p></o:p></span></font></p>

<p class=MsoBodyText><font size=2 color=navy face=Arial><span lang=EN-US
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p>&nbsp;</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'>Abstract:&nbsp; 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.<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-US
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p>&nbsp;</o:p></span></font></p>

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<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</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'>The seminar will take
place on <b><span style='font-weight:bold'>Friday 4<sup>th</sup> December, at
4pm</span></b>, in A2-002.<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'><o:p>&nbsp;</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'>If you have any questions
regarding this seminar, please direct them to Sarah Mitchell (061 202259, <a
href="mailto:sarah.mitchell@ul.ie" title="blocked::mailto:sarah.mitchell@ul.ie"><font
color=navy title="blocked::mailto:sarah.mitchell@ul.ie"><span
title="blocked::mailto:sarah.mitchell@ul.ie"><span style='color:navy;
text-decoration:none'>sarah.mitchell@ul.ie</span></span></font></a>).&nbsp; A
full list of Seminars for this semester can be found at: <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'><o:p>&nbsp;</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="blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><font
color=navy title="blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><span
title="blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><span
style='color:navy'>http://www.staff.ul.ie/mitchells/MACSI_seminars.html</span></span></font></a><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'><o:p>&nbsp;</o:p></span></font></p>

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style='font-size:10.0pt;font-family:Arial;color:navy'>----------------------------------------------------------------------------<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'>Supported by Science
Foundation Ireland Mathematics Initiative funding, MACSI - the Mathematics
Applications Consortium for Science and Industry (<a href="www.macsi.ie"
title="blocked::www.macsi.ie"><font color=navy title="blocked::www.macsi.ie"><span
title="blocked::www.macsi.ie"><span title="blocked::www.macsi.ie"><span
style='color:navy;text-decoration:none'>www.macsi.ie</span></span></span></font></a>),
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<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'>----------------------------------------------<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'><img border=0 width=142
height=142 id="_x0000_i1028" src="cid:image002.jpg@01CA7192.C29B1DF0"><o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

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