A numerical-homogenization based phase-field fracture modeling of linear elastic heterogeneous porous media

[Display omitted] •Two-scale homogenization was integrated with phase-field fracture in porous media.•Generalized formulation for quadrilateral element-based homogenization was developed.•Microscopic heterogeneity was considered in fracture modeling for porous media.•Microscopic pore structure influ...

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Vydáno v:Computational materials science Ročník 176; číslo C; s. 109519
Hlavní autoři: He, Bang, Schuler, Louis, Newell, Pania
Médium: Journal Article
Jazyk:angličtina
Vydáno: United States Elsevier B.V 15.04.2020
Elsevier
Témata:
Computational homogenization
ENGINEERING
Engineering Sciences
Finite element method
Fracture modeling
MATERIALS SCIENCE
MATHEMATICS AND COMPUTING
Mechanics
Phase-field
Porous media
Solid mechanics
Porous media
Finite element method
Computational homogenization
Phase-field
Fracture modeling
ISSN:0927-0256, 1879-0801
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Shrnutí:[Display omitted] •Two-scale homogenization was integrated with phase-field fracture in porous media.•Generalized formulation for quadrilateral element-based homogenization was developed.•Microscopic heterogeneity was considered in fracture modeling for porous media.•Microscopic pore structure influences fracture strength and patterns in porous media. Most porous media, such as geomaterials and biomaterials are highly heterogeneous in nature, and they contain large variations of microscopic pore structures, such as pore sizes, pore distribution, and pore shapes. The oscillation of microscopic structures is a substantial challenge in theoretical characterization and is usually ignored in continuous modeling. However, mechanical behavior of porous media such as deformation and failure, are essentially impacted by the microscopic heterogeneity which needs to be considered in modeling a porous media. This research proposes a numerical modeling framework with a capability to investigate the effect of microscopic heterogeneity on the macroscopic fracture behavior in porous media by using a numerical homogenization technique, combined with the phase-field fracture modeling method. This numerical modeling strategy computes a homogenized elasticity tensor based on microscopic heterogeneous pore structures heterogenous porous domain by solving boundary value problems at microscopic domain. The strain energy and subsequent propagation of macroscopic fractures will be updated using homogenized stiffness information. Using this numerical scheme, the microscopic pore structure’s impact on the fracture behavior through the homogenized elastic tensor will be taken into account. This multiscale technique is benchmarked against classical problems. The results highlight the importance of the underlying pore structure and reveal that both fracture strength and propagation path can be influenced by the microscopic heterogeneity.
Bibliografie:SC0019285
USDOE Office of Science (SC), Basic Energy Sciences (BES)
ISSN:0927-0256
1879-0801
DOI:10.1016/j.commatsci.2020.109519