Multiphase-field modelling of crack propagation in geological materials and porous media with Drucker-Prager plasticity

A multiphase-field approach for elasto-plastic and anisotropic brittle crack propagation in geological systems consisting of different regions of brittle and ductile materials is presented and employed to computationally study crack propagation. Plastic deformation in elasto-plastic materials such a...

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Bibliographic Details
Published in:Computational geosciences 2021-02, Vol.25 (1), p.325-343
Main Authors: Späth, Michael, Herrmann, Christoph, Prajapati, Nishant, Schneider, Daniel, Schwab, Felix, Selzer, Michael, Nestler, Britta
Format: Article
Language:English
Subjects:
Brittleness
Crack propagation
Deformation
Ductile fracture
Ductile-brittle transition
Earth and Environmental Science
Earth Sciences
Finite element method
Geology
Geotechnical Engineering & Applied Earth Sciences
Hydrogeology
Interfaces
Mathematical Modeling and Industrial Mathematics
Mechanical properties
Multiphase
Original Paper
Plastic deformation
Plastic properties
Plasticity
Plastics
Porous materials
Porous media
Propagation
Soil Science & Conservation
Solid-solid interfaces
Tensile tests
Two phase materials
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Summary:A multiphase-field approach for elasto-plastic and anisotropic brittle crack propagation in geological systems consisting of different regions of brittle and ductile materials is presented and employed to computationally study crack propagation. Plastic deformation in elasto-plastic materials such as frictional, granular or porous materials is modelled with the pressure-sensitive Drucker-Prager plasticity model. This plasticity model is combined with a multiphase-field model fulfilling the mechanical jump conditions in diffuse solid-solid interfaces. The validity of the plasticity model with phase-inherent stress and strain fields is shown, in comparison with sharp interface finite element solutions. The proposed model is capable of simulating crack formation in heterogeneous multiphase systems comprising both purely elastic and inelastic phases. We investigate the influence of different material parameters on the crack propagation with tensile tests in single- and two-phase materials. To show the applicability of the model, crack propagation in a multiphase domain with brittle and elasto-plastic components is performed.
ISSN:1420-0597
1573-1499
DOI:10.1007/s10596-020-10007-0