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Damage simulation of fiber reinforced composites using mean‐field homogenization methods
Author(s) -
Lenz Peter,
Mahnken Rolf
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900370
Subject(s) - homogenization (climate) , materials science , composite material , fiber reinforced composite , finite element method , matrix (chemical analysis) , fiber , structural engineering , engineering , biodiversity , ecology , biology
Our work presents a two‐scale mean‐field homogenization framework for constitutive multiscale (meso‐macro) modeling of fiber reinforced composites (FRC) including damage. The FRC is decomposed into three distinct linear thermo‐chemo‐elastic material phases. The three phases are unidirectional fibers surrounded by an interface, which is surrounded by a matrix material. Different mean‐field homogenization methods can be used to determine the effective properties. For the damage a distinction is made between four different damage modes namely matrix damage, fiber damage, interface damage and a simultaneous damage of the matrix and the fiber called matrix‐fiber damage. An element deletion algorithm is used to simulate a crack propagation. A representative example demonstrates the different types of damage and a resulting crack propagation in an FRC.