Bioengineering: One-Way Fluid-Structure Interaction in a Blood Vessel Network

Contents Introduction Problem Definition –Analysis of the fluid flow –Structural analysis. Results

Introduction The aim of the study is to estimate the displacements and stresses of the walls of part of a childs aorta, and some ramifications embedded in the heart muscle, when subjected to the pressure caused by the hearts beating. The model can be used to examine the risk for failure of the aorta given a certain deformation in the aorta.

Problem Definition One-way fluid-structure interaction: –The blood flow and fluid pressure is computed in a first step. –The forces exerted by the fluid on the inner walls of the aorta are used as loads for the structural analysis in the walls and surrounding cardiac muscle tissue. –The equations for the fluid flow are defined inside the blood vessel. –The structural analysis is defined in the walls and the tissue only. Highly non-linear hyper-elastic model for the blood vessel walls and the surrounding tissue.

Problem Definition Cardiac muscle Aorta Pressure conditions on all inlets and outlets Constraints on motion on outer walls

Results - Fluid Flow PressureVelocity

Results - Structural Analysis Displacements at peak load