Relaxed incremental variational approach for the modeling of damage-induced stress hysteresis in arterial walls

Journal of the Mechanical Behavior of Biomedical Materials
Thomas Schmidt, D Balzani

Abstract

In this paper, a three-dimensional relaxed incremental variational damage model is proposed, which enables the description of complex softening hysteresis as observed in supra-physiologically loaded arterial tissues, and which thereby avoids a loss of convexity of the underlying formulation. The proposed model extends the relaxed formulation of Balzani and Ortiz [2012. Relaxed incremental variational formulation for damage at large strains with application to fiber-reinforced materials and materials with truss-like microstructures. Int. J. Numer. Methods Eng. 92, 551-570], such that the typical stress-hysteresis observed in arterial tissues under cyclic loading can be described. This is mainly achieved by constructing a modified one-dimensional model accounting for cyclic loading in the individual fiber direction and numerically homogenizing the response taking into account a fiber orientation distribution function. A new solution strategy for the identification of the convexified stress potential is proposed based on an evolutionary algorithm which leads to an improved robustness compared to solely Newton-based optimization schemes. In order to enable an efficient adjustment of the new model to experimentally observed softenin...Continue Reading

References

Jan 1, 1983·Journal of Biomechanics·Y Lanir
Sep 1, 1993·The American Review of Respiratory Disease·S Q Liu, Y C Fung
Jan 15, 2005·Journal of Biomechanical Engineering·Gerhard A HolzapfelPeter Regitnig
Jan 8, 2010·Journal of the Royal Society, Interface·Salvatore Federico, T Christian Gasser
Jul 20, 2011·Biomechanics and Modeling in Mechanobiology·P SáezM A Martínez
Nov 22, 2011·Journal of the Mechanical Behavior of Biomedical Materials·K Y Volokh
Mar 27, 2012·Biomechanics and Modeling in Mechanobiology·Nele FamaeyEllen Kuhl
Jun 5, 2012·Journal of the Mechanical Behavior of Biomedical Materials·Hannah WeisbeckerGerhard A Holzapfel
Dec 3, 2014·Journal of the Mechanical Behavior of Biomedical Materials·David M PierceGerhard A Holzapfel

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Citations

Mar 2, 2016·International Journal for Numerical Methods in Biomedical Engineering·D BalzaniM Ortiz
Feb 13, 2021·Frontiers in Bioengineering and Biotechnology·Lauranne MaesNele Famaey

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