Open AccessNumerical homogenization of elastoplastic deformations of composite material with small proportion of inclusions
Author(s) -
Petr V. Sivtsev,
Aleksandr E. Kolesov,
Petr E. Zakharov,
Ying Yang
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 - 10.1088/1742-6596/1392/1/012074
Subject(s) - homogenization (climate) , materials science , finite element method , strain hardening exponent , composite material , work hardening , structural engineering , composite number , microstructure , engineering , biodiversity , ecology , biology
Numerical simulation of the stress-strain state of a composite material may be difficult due to large computational complexity associated with a grid resolution of a large number of inclusions. To overcome the problem one may use the homogenization method. But for material with plastic properties, proper modeling of yield stress and hardening may be overcomplicated. In this work we use some simplification associated with a small proportion of inclusions and restriction of stress values by matrix material strength. As model problem, we use deformation of concrete deep beam reinforced with steel or basalt fiber inclusions. For the numerical solution, the finite element method was applied using the FEniCS computing platform.