[Events] MACSI Seminar (Fri 4th Dec at 4pm)

Sarah.Mitchell Sarah.Mitchell at staffmail.ul.ie
Mon Nov 30 07:57:27 GMT 2009


The department of Mathematics and Statistics invites you to a seminar by
Prof. Cornelius Horgan (School of Engineering and Applied Science,
University of Virginia, USA): 

 

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Title: Nonlinear elasticity theory: a rich source of interesting
mathematical problems

 

Abstract:  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.

 

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The seminar will take place on Friday 4th December, at 4pm, in A2-002.

 

If you have any questions regarding this seminar, please direct them to
Sarah Mitchell (061 202259, sarah.mitchell at ul.ie
<mailto:sarah.mitchell at ul.ie> ).  A full list of Seminars for this
semester can be found at: 

 

http://www.staff.ul.ie/mitchells/MACSI_seminars.html
<http://www.staff.ul.ie/mitchells/MACSI_seminars.html> 

 

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Supported by Science Foundation Ireland Mathematics Initiative funding,
MACSI - the Mathematics Applications Consortium for Science and Industry
(www.macsi.ie), 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

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