[Events] MACSI Seminar (Fri 9th April at 4pm)

[Sarah.Mitchell]

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 9th April, 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).  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.ul.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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