Implementing a micromechanical model into a finite element code to simulate the mechanical and microstructural response
- PDF / 2,274,424 Bytes
- 14 Pages / 595.276 x 790.866 pts Page_size
- 95 Downloads / 197 Views
ORIGINAL PAPER
Implementing a micromechanical model into a finite element code to simulate the mechanical and microstructural response of arteries Daniele Bianchi1 · Claire Morin1 · Pierre Badel1 Received: 11 December 2019 / Accepted: 30 May 2020 © The Author(s) 2020
Abstract A computational strategy based on the finite element method for simulating the mechanical response of arterial tissues is herein proposed. The adopted constitutive formulation accounts for rotations of the adventitial collagen fibers and introduces parameters which are directly measurable or well established. Moreover, the refined constitutive model is readily utilized in finite element analyses, enabling the simulation of mechanical tests to reveal the influence of microstructural and histological features on macroscopic material behavior. Employing constitutive parameters supported by histological examinations, the results herein validate the model’s ability to predict the micro- and macroscopic mechanical behavior, closely matching previously observed experimental findings. Finally, the capabilities of the adopted constitutive description are shown investigating the influence of some collagen disorders on the macroscopic mechanical response of the arterial tissues. Keywords Multiscale homogenization · Nonlinear finite element formulation · Collagen fiber rotation · Tension–inflation test
1 Introduction The etiology of cardiovascular diseases is debated, and the therapeutic approaches, as well as the diagnosis, still have a high percentage of failure (Kelly and Fuster 2010). Advanced screening and effective treatments for vascular pathologies can be developed with an improved understanding of cardiovascular biomechanics and mechanobiology. Recently, computational biomechanical models have provided a novel point of view into the mechanics of biological tissues, in both diagnostic and treatment scenarios (Bianchi et al. 2017; Falcinelli et al. 2019; Morganti et al. 2019; Perrin et al. 2015). In the context of arterial tissues, the constitutive description represents a key aspect, especially for insight on the mechanisms that govern the onset * Daniele Bianchi [email protected] Claire Morin [email protected] Pierre Badel [email protected] 1
Mines Saint‑Etienne, Univ. Lyon, Univ. Jean Monnet, INSERM, U 1059 Sainbiose, Centre CIS, 42023 Saint‑Etienne, France
of the vascular pathologies. Although several models exist to describe the mechanical behavior of the arterial tissue, they generally are based on phenomenological parameters (Holzapfel et al. 2000; Auricchio et al. 2012). This prevents from the possibility to understand if some histological features can promote a pathological behavior of the arterial tissues. Alternatively, the structurally motivated constitutive model proposed by (Marino and Vairo 2013) has been effective in describing the anisotropic and nonlinear features of arterial mechanical responses by introducing parameters that directly translate to histological and structural properties. However, this approa
Data Loading...
