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 child’s aorta, and some ramifications embedded in the heart muscle, when subjected to the pressure caused by the heart’s 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 outletsConstraints on motion

on outer walls

Results - Fluid Flow

Pressure Velocity

Results - Structural Analysis

Displacements at peak load