Journal
ENGINEERING FRACTURE MECHANICS
Volume 257, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.engfracmech.2021.107995
Keywords
Phase field model; Plane-stress; Brittle fracture; Tension-compression asymmetry
Categories
Funding
- National Natural Science Foundation of China [11972227]
- Fundamental Research Funds for the Central Universities [DUT20RC(5)005, DUT20LAB203]
- Key Research and Development Project of Liaoning Province [2020JH2/10500003]
- State Key Laboratory of Structural Analysis for Industrial Equipment in DUT [GZ19118]
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The phase field model is a promising method for simulating damage and fracture behavior, with particular focus on addressing plane-stress problems. This paper proposes modifications to existing phase field constitutive models to ensure satisfaction of plane-stress conditions. The effectiveness of the modifications is demonstrated through numerical examples.
The phase field model is a very promising method to simulate the damage and fracture behavior of structures and materials. While excellent results are obtained for three-dimensional problems or plane-strain problems, plane-stress problems are usually not handled properly. This paper presents a modification of two existing phase field constitutive models with tension-compression asymmetry, so the plane-stress conditions are satisfied by construction. The modification of the formula is in the expression of the stress-strain relation and the stiffness tensor. The proposed formulation adds nonlinearity in the phase field variable; nevertheless, the staggered iteration for solving the problem is efficiently realized through a quasi-Newton method. Finally, the validity of the proposed modifications is demonstrated through numerical examples.
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