Seminar - Modelling Residual Stresses in Heart and Arteries by Professor Xiaoyu Luo
Date: 21 January 2016 (Thursday)
Time: 11:00 am – 12:00 pm
Venue: EF305, The Hong Kong Polytechnic University
This talk will start with an overview of the invariant-based continuum mechanics approach for anisotropic soft tissues that undergo large nonlinear deformation. I will then focus on the modelling of residual stress in such a setting. Residual stress is important in the mechanical behaviour of the living organs, and reflects the accumulated changes due to growth and remodelling over time. However, in many computational models, effects of residual stresses are overlooked. I will report how we consider the residual stress using the opening angle method with applications to left ventricle and aortic dissection. Results with and without the residual stress will be discussed. Finally, I will show that although it is commonly accepted that residual stress may be released in arteries from a single radial cut, this is not true in general. Indeed with two cuts or more, the maximum residual hoop stress could be as great as 35 times compared to that of the single cut. Further work is clearly required to investigate this and to link the continuum models to growth and modelling processes occurred at the cellular levels. Key words: residual stress, opening angle method, left ventricle model, aortic dissection.
Xiaoyu Luo is a Professor in the School of Mathematics and Statistics at the University of Glasgow. She received her BSc (1982) in Solid Mechanics, MSc (1985) in Applied Mechanics, and (1990) PhD in Biomechanics from the Xi'an Jiaotong University (XJTU). She worked as post-doc Research Fellow with Professor TJ Pedley, FRS, on modelling fluid flow in collapsible tubes at Leeds University from 1992, before taking on a lectureship at the Queen Mary and Westfield College in 1997, and then a lecturer/SL at the University of Sheffield in 2000-2005. She joined the University of Glasgow in 2005. Her research interests include modelling and numerical simulations of fluid-structure