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Phase Field Modeling of Ductile Fracture in Soil Mechanics
Author(s) -
Aldakheel Fadi,
Kienle Daniel,
Keip MarcAndré,
Miehe Christian
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710161
Subject(s) - classification of discontinuities , fracture mechanics , discretization , regularization (linguistics) , complex fracture , phase field models , mechanics , field (mathematics) , materials science , plasticity , continuum mechanics , fracture (geology) , geotechnical engineering , phase (matter) , geology , computer science , physics , mathematics , composite material , mathematical analysis , quantum mechanics , artificial intelligence , pure mathematics
This work outlines a rigorous framework for the ductile failure of frictional materials in elastic‐plastic soil mechanics undergoing large strains. Describing soil crack formation can be achieved in a convenient way by recently developed continuum phase field approaches to fracture, which are based on the regularization of sharp crack discontinuities [1]. This avoids the use of complex discretization methods for crack discontinuities, and can account for complex crack patterns. For frictional materials, a non–associative Drucker–Prager‐type elastic‐plastic constitutive model suitable for a wide range of applications in soil mechanics is developed. It is linked to a failure criterion in terms of the elastic‐plastic work density that drives the fracture phase field. We demonstrate the modeling capabilities and algorithmic performance of the proposed formulation by a representative numerical example that describes soil crack formation using elastic‐plastic fracture mechanics. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)