Strain energy density function and uniform strain hypothesis for arterial mechanics

Area of Science:

• Biomedical Engineering
• Cardiovascular Research
• Biomechanics

Background:

• Understanding stress distribution in arteries is crucial for diagnosing and treating cardiovascular diseases.
• Previous models often showed non-uniform stress patterns, which may not accurately reflect physiological conditions.

Purpose of the Study:

• To analyze stress distribution within the canine carotid artery wall.
• To evaluate the efficacy of a uniform strain hypothesis and a novel logarithmic strain energy density function.

Main Methods:

• Applied a uniform strain hypothesis, assuming constant circumferential strain across the arterial wall.
• Utilized a newly proposed logarithmic strain energy density function to model arterial wall properties.
• Analyzed stress distribution under physiological loading conditions.

Main Results:

• The uniform strain hypothesis resulted in a nearly uniform distribution of wall stresses.
• The model predicted non-zero residual stresses in the canine carotid artery when external forces were removed.
• This contrasts with findings from other studies, suggesting a more accurate physiological representation.

Conclusions:

• The uniform strain hypothesis provides a more accurate model for stress distribution in the canine carotid artery.
• The novel strain energy function effectively describes arterial wall properties.
• The presence of non-zero residual stresses highlights the complex biomechanical nature of arteries.