Open AccessComparison of discrete fiber and asymptotic homogenization methods for modeling deformations of fiber-reinforced materials
Author(s) -
Petr E. Zakharov,
Petr V. Sivtsev
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1392/1/012078
Subject(s) - homogenization (climate) , asymptotic homogenization , elasticity (physics) , materials science , mathematical analysis , mathematics , composite material , composite number , biodiversity , ecology , biology
The main issue in a numerical simulation of fiber-reinforced materials deformation is high computational complexity. Exact resolution of fibers thickness leads to a huge number of degrees of freedom. In this work, we compare discrete fiber and asymptotic homogenization methods for modeling deformations. The discrete fiber method considers fibers as one-dimensional lines and the asymptotic homogenization method averages elasticity coefficients. We investigate the accuracy of these methods for a large range of models and approximation parameters.