Simulation On The Mechanic Behaviour Of Heart Based On Finite Element Methods

Computational models of heart can not only provide support for interpreting the data from experiments, but also help researchers gain an insight into the working mechanism of heart. Currently, the field of heart modeling enjoys a boom: lots of researchers with different discipline backgrounds are being attracted and some models have been used to assist diagnosis and drug development. However, numerous problems remain unsolved in this field. Modeling the mechanic behavior of heart accurately could be such a challenge.It is the repeating contraction of the heart that causes its pumping action.Researchers can benefit from conducting a research on heart’s contraction. Passive property of heart, which is determined by features of myocardial issue, in combination with the active force instigated by electrical activity that leads to its contraction. In this thesis, we aim at building an accurate and feasible mechanic frame for electro-mechanic coupling.Firstly, we put forward a cardiac mechanic model incorporating finite deformation analysis.Then we conduct simulations based on several kinds of constitutive law and do some assessment.Secondly, we build the procedure for solving our mechanic model with mixed finite element, which is based on Lagrange multiplier method and three field finite element. Also some assessment work was conducted.Among others, we improve Newton iteration method by adding search strategy.We also put forward a pre-conditioner to deal with the indefinite linear system coming from mixed finite element discretization.