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<P class=MsoNormal><FONT color=navy><SPAN lang=EN-IE style="FONT-SIZE: 10pt; COLOR: navy; FONT-FAMILY: Arial">The department of Mathematics and Statistics invites you to a seminar by </SPAN></FONT><FONT color=navy><SPAN style="FONT-SIZE: 10pt; COLOR: navy; FONT-FAMILY: Arial">Prof. Cornelius Horgan (School of Engineering and Applied Science, University of Virginia, USA): </SPAN></FONT></P></FONT></DIV></DIV>
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<P class=MsoNormal><FONT face=Arial color=navy size=2><SPAN lang=EN-IE style="FONT-SIZE: 10pt; COLOR: navy; FONT-FAMILY: Arial">Title: </SPAN></FONT><FONT face=Arial color=navy size=2><SPAN style="FONT-SIZE: 10pt; COLOR: navy; FONT-FAMILY: Arial"><SPAN style="FONT-SIZE: 10pt; COLOR: navy; FONT-FAMILY: Arial">Nonlinear elasticity theory: a rich source of interesting mathematical problems</SPAN></SPAN></FONT></P>
<P><FONT face=Arial color=navy size=2><SPAN lang=EN-IE style="FONT-SIZE: 10pt; COLOR: navy; FONT-FAMILY: Arial">Abstract: </SPAN></FONT><FONT face=Arial color=navy size=2><SPAN style="FONT-SIZE: 10pt; COLOR: navy; FONT-FAMILY: Arial"><SPAN style="FONT-SIZE: 10pt; COLOR: navy; FONT-FAMILY: Arial">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></SPAN></FONT></P>
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<P class=MsoNormal><FONT face=Arial color=navy size=2><SPAN style="FONT-SIZE: 10pt; COLOR: navy; FONT-FAMILY: Arial">The seminar will take place on <B><SPAN style="FONT-WEIGHT: bold">Friday 9th April, at 4pm</SPAN></B>, in A2-002.</SPAN></FONT></P>
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<P class=MsoNormal><FONT face=Arial color=navy size=2><SPAN style="FONT-SIZE: 10pt; COLOR: navy; FONT-FAMILY: Arial">If you have any questions regarding this seminar, please direct them to Sarah Mitchell (061 202259, <A title=blocked::mailto:sarah.mitchell@ul.ie href=""><FONT title=blocked::mailto:sarah.mitchell@ul.ie color=navy><SPAN title=blocked::mailto:sarah.mitchell@ul.ie><SPAN style="COLOR: navy; TEXT-DECORATION: none">sarah.mitchell@ul.ie</SPAN></SPAN></FONT></A>). A full list of Seminars for this semester can be found at: </SPAN></FONT></P>
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<P class=MsoNormal><FONT face=Arial color=navy size=2><SPAN lang=EN-IE style="FONT-SIZE: 10pt; COLOR: navy; FONT-FAMILY: Arial"><A title=blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html href="http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><FONT title=blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html color=navy><SPAN 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; TEXT-DECORATION: none">http://www.staff.ul.ie/mitchells/MACSI_seminars.html</SPAN></SPAN></SPAN></FONT></A></SPAN></FONT></P>
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<P class=MsoNormal><FONT face=Arial color=navy size=2><SPAN lang=EN-IE style="FONT-SIZE: 10pt; COLOR: navy; FONT-FAMILY: Arial">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 title=blocked::www.macsi.ie color=navy><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><FONT face=Arial color=navy size=2><SPAN style="FONT-SIZE: 10pt; COLOR: navy; FONT-FAMILY: Arial"></SPAN></FONT></P>
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