Numerical simulation of fibrous biomaterials with randomly distributed fiber network structure

Biomechanics and Modeling in Mechanobiology
Tao Jin, Ilinca Stanciulescu

Abstract

This paper presents a computational framework to simulate the mechanical behavior of fibrous biomaterials with randomly distributed fiber networks. A random walk algorithm is implemented to generate the synthetic fiber network in 2D used in simulations. The embedded fiber approach is then adopted to model the fibers as embedded truss elements in the ground matrix, which is essentially equivalent to the affine fiber kinematics. The fiber-matrix interaction is partially considered in the sense that the two material components deform together, but no relative movement is considered. A variational approach is carried out to derive the element residual and stiffness matrices for finite element method (FEM), in which material and geometric nonlinearities are both included. Using a data structure proposed to record the network geometric information, the fiber network is directly incorporated into the FEM simulation without significantly increasing the computational cost. A mesh sensitivity analysis is conducted to show the influence of mesh size on various simulation results. The proposed method can be easily combined with Monte Carlo (MC) simulations to include the influence of the stochastic nature of the network and capture the mat...Continue Reading

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Citations

Mar 11, 2016·Biomechanics and Modeling in Mechanobiology·Tao Jin, Ilinca Stanciulescu
Mar 13, 2018·Advanced Healthcare Materials·Nicole JedrusikPascal Tomakidi

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