Open AccessON MULTISCALE DAMAGE MODELLING OF HETEROGENEOUS MATERIALS USING NONLOCAL CONTINUUM THEORY
Author(s) -
Jurica Sorić,
AUTHOR_ID,
Tomislav Lesičar,
Filip Putar,
Zdenko Tonković,
AUTHOR_ID
Publication year - 2021
Publication title -
brodogradnja
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.553
H-Index - 14
eISSN - 1845-5859
pISSN - 0007-215X
DOI - 10.21278/brod72407
Subject(s) - homogenization (climate) , discretization , microscale chemistry , finite element method , quadrilateral , softening , brittleness , representative elementary volume , materials science , structural engineering , mechanics , mathematics , mathematical analysis , physics , composite material , engineering , biodiversity , ecology , mathematics education , biology
An overview of the modelling of quasi-brittle as well as ductile damage is given. The multiscale procedure employing the nonlocal continuum theory is described in more detail. The softening is introduced at the microlevel in the microstructural volume element and after that the homogenization procedure state variables are mapped at the macrolevel material point via the scale transition approach. In the case of quasi-brittle softening the C1 continuous finite element discretization is applied at both micro- and macrolevel. At the modelling of ductile damage response, the macrolevel is also discretized by the C1 finite element formulation, while the microscale utilizes quadrilateral mixed finite elements employing the nonlocal equivalent plastic strain and gradient-enhanced elastoplasticity. All approaches presented are verified in the standard examples.