PSI - Issue 42

Jaynandan Kumar et al. / Procedia Structural Integrity 42 (2022) 806–812 Jaynandan Kumar, Anshul Faye / Structural Integrity Procedia 00 (2019) 000–000

811

6

1.0e+00 0.2 0.4 0.6 0.8

0.0e+00 1.0e+00 0.2 0.4 0.6 0.8 1.0e+00 0.2 0.4 0.6 0.8 0.0e+00

1.0e+00 0.2 0.4 0.6 0.8

Phase field (d)

Phase field (d)

0.0e+00

Phase field (d)

Phase fi (d)

0.0e+00

(b)

(a)

Fig. 3. Representation of damage initiating in the RVE, loaded biaxially with stretch ratio 1:1 (a) stretch = 1.15 (b) stretch = 1.16

3. Summary

The objective of the work is to predict the failure envelope of calcified aneurysm under bi-axial loading for di ff erent stretch ratios. Towards that, a unique set of representative elastic and phase-field material parameters are obtained by calibrating the available bi-axial experimental data with the least square minimization principle. Finite element simulation is done for the uncalcified tissue under uni-axial loading with the obtained parameters which describe the deformation and failure of the tissue in the circumferential and longitudinal directions. Simulation is done on the RVE containing 25 percent of calcium particles with 3-dimensional tetrahedral linear elements which is shown above. Further, simulations are being performed on the RVEs for better prediction of failure of the calcified aneurysm.

References

Gu¨ ltekin, O., Dal, H. & Holzapfel, G. A phase-field approach to model fracture of arterial walls: theory and finite element analysis. Computer Methods In Applied Mechanics And Engineering . 312 pp. 542-566 (2016) Volokh, K. & Vorp, D. A model of growth and rupture of abdominal aortic aneurysm. Journal Of Biomechanics . 41 , 1015-1021 (2008) Kroon, M. & Holzapfel, G. A model for saccular cerebral aneurysm growth by collagen fibre remodelling. Journal Of Theoretical Biology . 247 , 775-787 (2007) Balakhovsky, K., Jabareen, M. & Volokh, K. Modeling rupture of growing aneurysms. Journal Of Biomechanics . 47 , 653-658 (2014) Schmid, K., McSharry, W., Pameijer, C. & Binette, J. Chemical and physicochemical studies on the mineral deposits of the human atherosclerotic aorta. Atherosclerosis . 37 , 199-210 (1980) He, Z., Mongrain, R., Lessard, S. & Soulez, G. Extents, Locations and Geometrical Configurations of Calcification in Abdominal Aortic Aneurysm. EMBEC NBC 2017 . pp. 639-642 (2017) Marra, S., Daghlian, C., Fillinger, M. & Kennedy, F. Elemental composition, morphology and mechanical properties of calcified deposits obtained from abdominal aortic aneurysms. Acta Biomaterialia . 2 , 515-520 (2006) Volokh, K. & Aboudi, J. Aneurysm strength can decrease under calcification. Journal Of The Mechanical Behavior Of Biomedical Materials . 57 pp. 164-174 (2016) Raghavan, M., Webster, M. & Vorp, D. Ex vivo biomechanical behavior of abdominal aortic aneurysm: assessment using a new mathematical model. Annals Of Biomedical Engineering . 24 , 573-582 (1996) Raghavan, M. & Vorp, D. Toward a biomechanical tool to evaluate rupture potential of abdominal aortic aneurysm: identification of a finite strain constitutive model and evaluation of its applicability. Journal Of Biomechanics . 33 , 475-482 (2000) Sommer, G., Sherifova, S., Oberwalder, P., Dapunt, O., Ursomanno, P., DeAnda, A., Gri ffi th, B. & Holzapfel, G. Mechanical strength of aneurys matic and dissected human thoracic aortas at di ff erent shear loading modes. Journal Of Biomechanics . 49 , 2374-2382 (2016) Polzer, S., Man, V., Vlachovsky` , R., Kubıcˇek, L., Kracık, J., Sta ff a, R., Novotny` , T., Bursˇa, J. & Raghavan, M. Failure properties of abdominal aortic aneurysm tissue are orientation dependent. Journal Of The Mechanical Behavior Of Biomedical Materials . 114 pp. 104181 (2021)

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