Interest to the arteries modeling surged in the last decades. At the same time, most currently used models are quasistatic, thus not allowing to analyze the nonlinear dynamic response of the arteries. In this presentation, I will explain the importance of the dynamic analysis of human aortas deformations. Experimental data on two dozens of healthy human aortas obtained from Transplant Québec will be presented. Experimental data include both tests on the separate layers of the aortic material and tests of the intact thoracic aortas in mock circulatory loop. Some observed dynamical effects will be discussed. Challenges that researchers face when dealing with hyperelastic structures will be outlined as well as certain ways to reduce the computational cost of corresponding problems. The model of the thoracic aorta as a thick shell with taking into account multilayered structure, hyperelasticity, viscoelasticity, dynamic stiffening and other features pertinent to natural vascular tissues will be presented, as well as obtained dynamic deformations of the thoracic aorta under physiological pulsatile pressure. The presentation will be concluded with comments on future aortic prosthesis design.
After defending the dissertation on geometrically nonlinear dynamics of shells, Dr. Breslavsky joined McGill University where he expanded the scope of his research to dynamics of shells with both geometrical and physical (material) nonlinearities. The main focus of his current research is on deformations of human blood vessels. The research has two directions, the first one being acquisition from experiments the dynamic parameters of arterial material that currently are not available in the literature. The second line of research is the creation of an approach for simulation of the dynamics of human aorta with taking into account both types of nonlinearities. The results of his research are published in leading journals in the field, like Biomechanics and Modeling in Mechanobiology, Journal of the Mechanical Behavior of Biomedical Materials, and Computer Methods in Applied Mechanics and Engineering.