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An anisotropic phase‐field model at finite strains for composite fracture
Author(s) -
Yin Bo,
Kaliske Michael
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000096
Subject(s) - anisotropy , fracture (geology) , materials science , phase field models , constitutive equation , field (mathematics) , phase (matter) , work (physics) , matrix (chemical analysis) , composite number , function (biology) , mechanics , composite material , structural engineering , finite element method , physics , mathematics , engineering , thermodynamics , optics , quantum mechanics , evolutionary biology , biology , pure mathematics
Phase‐field modeling has been intensively studied and demonstrated to appropriately capture complex fracture evolutions. Experimental evidence indicates that the fracture evolution is largely relying on the constitutive relations of the engineering materials, e.g. anisotropic properties. In general, anisotropic failure characteristics are governed by the mechanical response and the fracture evolution simultaneously. The work at hand introduces an anisotropic phase‐field modeling for composite material's fracture, which uses only one phase‐field variable to evaluate the fracture status of the matrix and the fiber materials simultaneously. As a result, an equivalent crack surface energy density function is established. Furthermore, the constitutive laws are consistently derived by a straightforward variational principle. Consequently, an interesting numerical example is shown to demonstrate the capabilities of this approach.