期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 119, 期 -, 页码 20-42出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2018.06.006
关键词
Phase-field theory; Length scale; Brittle fracture; Damage; Cohesive zone model
资金
- National Key RAMP
- D Program of China [2017YFC0803300]
- National Natural Science Foundation of China [51678246]
- Australian Research Council via DECRA project [DE160100577]
- State Key Laboratory of Subtropical Building Science [2018ZC04]
- Scientific/Technological Project of Guangzhou [201607020005]
Being able to model complex nucleation, propagation, branching and merging of cracks in solids within a unified framework, the classical phase-field models for brittle fracture fail in predicting length scale independent global responses for a solid lacking elastic singularities (e.g., corners, notches, etc.). Motivated from Barenblatt's approximation of Griffith's brittle fracture with a vanishing Irwin's internal length, this paper extends our recent work in quasi-brittle failure (Wu, 2017, 2018a) and presents for the first time a length scale insensitive phase-field damage model for brittle fracture. More specifically, with a set of optimal characteristic functions, a phase-field regularized cohesive zone model (CZM) with linear softening law is addressed and applied to brittle fracture. Both the failure strength and the traction - separation law are independent of the incorporated length scale parameter. Compared to other phase-field models and CZM based discontinuous approaches for brittle fracture, the proposed phase-field regularized CZM is of several merits. On the one hand, being theoretically equivalent to Barenblatt's CZM (at least in the 1-D case), it needs neither the explicit crack representation/tracking nor the elastic penalty stiffness which both are necessary but cumbersome for discontinuous approaches. On the other hand, it gives length scale independent global responses for problems with or without elastic singularities while preserving the expected P-convergence property of phase-field models. Representative numerical examples of several well-known benchmark tests support the above conclusions, validating its capability of modeling both mode-I and mixed-mode brittle fracture. (C) 2018 Elsevier Ltd. All rights reserved.
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