PSI - Issue 68

Jaynandan Kumar et al. / Procedia Structural Integrity 68 (2025) 205–211

207

Jaynandan Kumar, Anshul Faye / Structural Integrity Procedia 00 (2024) 000–000

3

Table 1: Parameters for the material model (Gasser et al., 2006).

Elastic parameters

Structural parameters

γ ( ◦ )

µ (kPa)

k 1 (kPa)

k 2

κ

7.64 996.6

524.6 0

39.98 49.98 59.98

0.226 0.333

boundary. The size of the void is very, very smaller than the size of the specimen. Internal radius ( A ) and external radius ( B ) is kept such that B / A = 1000. The geometry of micro-voids and representative tissue models and their boundary conditions are shown in Fig. 1.

g

A = internal radius B = external radius g = hydrostatic pressure

A

B

Fig. 1: A micro-void lying at the center of the circular planer model

2.4. Numerical Approach

In the case of isotropic material, its void growth analysis can be done with theoretical formulation due to centrally symmetric deformation. However, the anisotropic materials can undergo di ff erent deformations at di ff erent angles. Therefore, we need to look for the numerical analysis for the void in an anisotropic case. Numerical simulations were performed in ABAQUSv2019, a finite element analysis software. A two-dimensional 8-node biquadratic, reduced integration plane stress element (CPS8R) has been used. Mesh is shown in Fig. 2. Mesh near the void is shown with zoomed-in Fig. 2a. Fine mesh is kept near the void to capture the gradient. The simulations focused on analyzing micro-void growth under hydrostatic tension in anisotropic iliac arterial tissue. The simulation setup involved applying hydrostatic tension to a model of arterial tissue containing micro-voids.

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