TY - JOUR
T1 - Characterization of mouse artery tissue properties using experimental testing combined with finite element modelling
AU - Li, Luli
AU - Gao, Ling
AU - Yap, Kian Kun
AU - Phinikaridou, Alkystis
AU - Masen, Marc
N1 - Publisher Copyright:
© 2025
PY - 2025/6
Y1 - 2025/6
N2 - Indentation tests have been widely used to determine the material properties of arterial tissue. However, it remains a challenge to extract the relevant material parameters from the force-indentation curves that result from indentation tests. This paper presents a detailed procedure for determining the first-order Ogden parameters, μ and α, for mouse arterial tissue using a method that combines indentation tests with numerical simulations. The method builds on a previous study (Li and Masen, 2024) and has been expanded to account for the surface roughness of the indented specimen. It is assumed that hyperelastic material behaviour can be linearized for small strain increments, ɛji≤ 1%, allowing the model developed by Hayes (Hayes et al., 1972) to be applied to accommodate the contact behaviour in each increment. However, mouse arterial specimens have an irregular or rough surface which complicates the use of Hayes’ model, as the thickness of the specimen is an input parameter into the model. To solve this, we introduce an ‘equivalent thickness’ that can be applied in Hayes’ model by identifying the thickness that yields the smallest variance S2 of the shear moduli among a range of possible specimen thickness values. The shear moduli obtained for the equivalent thickness, denoted as the equivalent shear moduli Gi∗, along with the corresponding principal strains ɛj obtained from simulations, were used to calculate the principal stresses σj using Hooke's law. By combining the principal stresses σj across all increments, a nonlinear stress σj versus strain ɛj curve was generated, from which the first-order Ogden parameters μ and α were obtained. The proposed method is demonstrated by applying it to simulated force-indentation curves, successfully recovering the input parameters for both thickness and Ogden parameters. The method was subsequently applied to 26 experimentally obtained curves, yielding an average shear modulus G of 1.22 kPa for the indented mouse arterial tissue specimens, with values ranging from 0.27 to 5.02 kPa. Numerical simulations of the indentation process with the obtained values were used to verify the obtained material parameters.
AB - Indentation tests have been widely used to determine the material properties of arterial tissue. However, it remains a challenge to extract the relevant material parameters from the force-indentation curves that result from indentation tests. This paper presents a detailed procedure for determining the first-order Ogden parameters, μ and α, for mouse arterial tissue using a method that combines indentation tests with numerical simulations. The method builds on a previous study (Li and Masen, 2024) and has been expanded to account for the surface roughness of the indented specimen. It is assumed that hyperelastic material behaviour can be linearized for small strain increments, ɛji≤ 1%, allowing the model developed by Hayes (Hayes et al., 1972) to be applied to accommodate the contact behaviour in each increment. However, mouse arterial specimens have an irregular or rough surface which complicates the use of Hayes’ model, as the thickness of the specimen is an input parameter into the model. To solve this, we introduce an ‘equivalent thickness’ that can be applied in Hayes’ model by identifying the thickness that yields the smallest variance S2 of the shear moduli among a range of possible specimen thickness values. The shear moduli obtained for the equivalent thickness, denoted as the equivalent shear moduli Gi∗, along with the corresponding principal strains ɛj obtained from simulations, were used to calculate the principal stresses σj using Hooke's law. By combining the principal stresses σj across all increments, a nonlinear stress σj versus strain ɛj curve was generated, from which the first-order Ogden parameters μ and α were obtained. The proposed method is demonstrated by applying it to simulated force-indentation curves, successfully recovering the input parameters for both thickness and Ogden parameters. The method was subsequently applied to 26 experimentally obtained curves, yielding an average shear modulus G of 1.22 kPa for the indented mouse arterial tissue specimens, with values ranging from 0.27 to 5.02 kPa. Numerical simulations of the indentation process with the obtained values were used to verify the obtained material parameters.
KW - Contact modelling
KW - Hyperelastic property
KW - Indentation experiments
KW - Mouse arterial tissue
KW - Ogden material
UR - http://www.scopus.com/inward/record.url?scp=85218501793&partnerID=8YFLogxK
U2 - 10.1016/j.jmbbm.2025.106953
DO - 10.1016/j.jmbbm.2025.106953
M3 - Article
C2 - 40020567
AN - SCOPUS:85218501793
SN - 1751-6161
VL - 166
JO - Journal Of The Mechanical Behavior Of Biomedical Materials
JF - Journal Of The Mechanical Behavior Of Biomedical Materials
M1 - 106953
ER -