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Modelling Residual Stresses Modelling Residual Stresses in Heart and Arteries

Presented by: 
Xiaoyu Luo University of Glasgow
Date: 
Thursday 17th September 2015 - 16:15 to 17:00
Venue: 
INI Seminar Room 1
Abstract: 
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.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons