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Mechanical response of an artery using a standard nonlinear solid
A I Veress1, P M Anderson, J F Cornhill
1Biomedical Engineering Center, Ohio State University, USA.
Biomedical Sciences Instrumentation
|January 1, 1997
Summary
This study models artery mechanics using a modified linear solid model to analyze stress and deformation. The computational model accurately predicts tissue behavior under various conditions, aiding in understanding arterial mechanics.
Area of Science:
- Biomechanics
- Biomedical Engineering
- Computational Mechanics
Background:
- Arterial stress and deformation are critical for understanding vascular health.
- Axisymmetric analysis of thick-walled cylinders models arterial wall mechanics.
- Time-dependent internal pressure influences arterial biomechanical states.
Purpose of the Study:
- To investigate the impact of constitutive, loading, and geometric factors on arterial stress and deformation.
- To develop a computational model for analyzing arterial biomechanics.
- To understand tissue conditioning effects on arterial mechanical properties.
Main Methods:
- Applied equilibrium, compatibility, and constitutive equations to N discretized points.
- Utilized a modified linear solid constitutive model with nonlinear and anisotropic properties.
- Employed Mathcad software for efficient computation and matrix inversion (6N x 6N).
Main Results:
- The model achieved high correlation (0.985) with experimental stress relaxation data.
- Accurately reproduced quasi-static stress-strain data.
- Provided insights into tissue conditioning via time-dependent properties.
Conclusions:
- The developed program effectively mimics transient and steady-state arterial tissue responses.
- Enables rapid and stable determination of stress and strain states under diverse loading conditions.
- Offers a valuable tool for biomechanical analysis of arteries.