Related Experiment Video
Updated: Jun 12, 2026
06:18
Intravascular Ultrasound Image-Based Finite Element Modeling Approach for Quantifying In Vivo Mechanical Properties of Human Coronary Artery
Published on: December 6, 2024
The theoretical foundation for artery buckling under internal pressure
1Department of Mechanical Engineering, University of Texas at San Antonio, Biomedical Engineering Program, UTSA-UTHSCSA, San Antonio, TX 78249, USA. hchan@utsa.edu
Journal of Biomechanical Engineering
|June 8, 2010
Summary
Artery buckling stability is crucial for arterial function. This study mathematically proves that arteries buckle into sinusoidal shapes, providing a solid theoretical basis for buckling equations.
Area of Science:
- Biomechanics
- Biomedical Engineering
- Fluid Dynamics
Background:
- Arterial stability under blood pressure is vital for normal function.
- Existing buckling equations for arteries rely on unproven sinusoidal mode shape assumptions.
Purpose of the Study:
- To establish a theoretical foundation for artery buckling.
- To determine the actual mode shapes of artery buckling.
Main Methods:
- Developed differential equations governing artery buckling.
- Analyzed the mathematical behavior of arteries under pressure-induced stress.
Main Results:
- Demonstrated that straight arteries bifurcate into sinusoidal mode shapes during buckling.
- Provided theoretical validation for the mode shapes observed in artery buckling.
Conclusions:
- The study establishes a rigorous theoretical basis for artery buckling equations.
- Confirms that sinusoidal mode shapes are the correct representation of artery buckling under pressure.
More Related Videos
Related Concept Videos
01:15Thin-Walled Hollow Shafts
In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...
01:21Euler's Formula for Pin-Ended Columns
In structural engineering, the stability of columns under compressive axial loads is a critical consideration, described as buckling. A typical example involves a column PQ, which is pin-connected at both ends and subjected to a centric axial load F applied at one end, with a reaction force of F' = -F at the other end. Here, it is crucial to understand that when an applied load exceeds the critical load, buckling occurs as the system becomes unstable.
To calculate the critical load, envision...
To calculate the critical load, envision...
01:23Stresses under Combined Loadings
When analyzing a bent tube with a circular cross-section subjected to multiple forces, it is crucial to determine the stress distribution in order to maintain structural integrity under varied load conditions.
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...
01:16Arteries and Arterioles
Arteries, the vasculature responsible for transporting blood from the heart, possess robust walls capable of enduring the elevated pressures exerted by the heartbeat. Arteries near the heart are especially thick-walled and enriched with elastic fibers across their three tunics, classifying them as elastic or conducting arteries. These arteries, usually with a diameter exceeding 10 mm, are characterized by their ability to dilate in response to the blood pumped from the heart's ventricles and...
01:30Aneurysm I: Introduction
An aortic aneurysm is a localized outpouching or dilation at a weak point in the artery wall. It may involve different parts of the aorta, such as the abdominal aorta, aortic arch, or thoracic aorta.Etiological factorsSeveral disorders are associated with aortic aneurysms.Congenital causes, such as primary connective tissue disorders like Marfan syndrome, impact the integrity and strength of connective tissues, notably affecting the aorta. Marfan syndrome is a genetic disorder that specifically...
01:09Bending of Material: Problem Solving
In this lesson, determine the ratio of the maximum bending moments applied to two metal pipes, given that both pipes can withstand a maximum stress of 100 MPa. Both pipes have an outer radius of 1.8 cm. Pipe A has an inner radius of 1.5 cm, and Pipe B has an inner radius of 1 cm. The ratio of the maximum bending moment applied to two metallic pipes, each with a different inner and outer radius, is determined by considering their dimensions. The inner radius of the first pipe is 1.5 cm, and for...