An explicit phase field method for brittle dynamic fracture

Published on Jun 1, 2019in Computers & Structures4.578
路 DOI :10.1016/J.COMPSTRUC.2019.03.005
Huilong Ren12
Estimated H-index: 12
(Bauhaus University, Weimar),
Xiaoying Zhuang57
Estimated H-index: 57
(Tongji University)
+ 1 AuthorsTimon Rabczuk106
Estimated H-index: 106
(Ton Duc Thang University)
Sources
Abstract
Abstract In this paper, we propose an explicit phase field model for dynamic brittle fracture. The mechanical field is integrated with a Verlet-velocity scheme, while the phase field is incremented with sub-steps at each step. The sub-stepping is adaptive based on the phase field residual and fast convergence is obtained in a few sub-steps. The numerical difficulty in convergence and the calculation of anisotropic stiffness tensor in the implicit phase field model are avoided in the explicit scheme. The explicit phase field model uses the phase field modulus, rather than the conventional phase field viscosity. The proposed scheme can achieve the same result by the implicit dynamic scheme phase field model. Several numerical examples are presented to validate the explicit method.
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#1Jian-Ying Wu (SCUT: South China University of Technology)H-Index: 23
#2Vinh Phu Nguyen (Monash University, Clayton campus)H-Index: 27
Abstract 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鈥檚 approximation of Griffith鈥檚 brittle fracture with a vanishing Irwin鈥檚 internal length, this paper extends our recent work in quasi-brittle failure (Wu,...
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#1Vinh Phu Nguyen (Monash University, Clayton campus)H-Index: 27
#2Jian-Ying Wu (SCUT: South China University of Technology)H-Index: 23
Abstract Being able to seamlessly deal with complex crack patterns like branching, merging and even fragmentation, the phase-field model, amongst several alternatives, is promising in the computational modeling of dynamic fracture in solids. This paper presents an extension of our recently introduced phase-field cohesive zone model for static fracture to dynamic fracture in brittle and quasi-brittle solids. The model performance is tested with several benchmarks for dynamic brittle and cohesive ...
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#1Shuwei Zhou (Bauhaus University, Weimar)H-Index: 9
#2Xiaoying Zhuang (Tongji University)H-Index: 57
Last. Timon Rabczuk (Ton Duc Thang University)H-Index: 106
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Abstract We present a phase field model (PFM) for simulating complex crack patterns including crack propagation, branching and coalescence in rock. The phase field model is implemented in COMSOL and is based on the strain decomposition for the elastic energy, which drives the evolution of the phase field. Then, numerical simulations of notched semi-circular bend (NSCB) tests and Brazil splitting tests are performed. Subsequently, crack propagation and coalescence in rock plates with multiple ech...
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#1Shuwei Zhou (Bauhaus University, Weimar)H-Index: 9
#2Xiaoying Zhuang (Tongji University)H-Index: 57
Last. Timon Rabczuk (Ton Duc Thang University)H-Index: 106
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Abstract This paper proposes a phase field model for fracture in poroelastic media. The porous medium is modeled based on the classical Biot poroelasticity theory and the fracture behavior is controlled by the phase field model. Moreover, the fracture propagation is driven by the elastic energy where the phase field is used as an interpolation function to transit fluid property from the intact medium to the fully broken one. We use a segregated (staggered) scheme and implement our approach in Co...
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#1Jian-Ying Wu (SCUT: South China University of Technology)H-Index: 23
Abstract Being one of the most promising candidates for the modeling of localized failure in solids, so far the phase-field method has been applied only to brittle fracture with very few exceptions. In this work, a unified phase-field theory for the mechanics of damage and quasi-brittle failure is proposed within the framework of thermodynamics. Specifically, the crack phase-field and its gradient are introduced to regularize the sharp crack topology in a purely geometric context. The energy dis...
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#1Huilong Ren (Bauhaus University, Weimar)H-Index: 12
#2Xiaoying Zhuang (Tongji University)H-Index: 57
Last. Timon Rabczuk (Ton Duc Thang University)H-Index: 106
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#1Huilong Ren (Bauhaus University, Weimar)H-Index: 12
#2Xiaoying Zhuang (Tongji University)H-Index: 57
Last. Timon Rabczuk (Bauhaus University, Weimar)H-Index: 106
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Summary In this paper, we develop a dual-horizon peridynamics (DH-PD) formulation that naturally includes varying horizon sizes and completely solves the 鈥榞host force鈥 issue. Therefore, the concept of dual horizon is introduced to consider the unbalanced interactions between the particles with different horizon sizes. The present formulation fulfills both the balances of linear momentum and angular momentum exactly. Neither the 鈥榩artial stress tensor鈥 nor the 鈥榮lice鈥 technique is needed to ameli...
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#1Vahid Ziaei-Rad (UPC: Polytechnic University of Catalonia)H-Index: 5
#2Yongxing Shen (SJTU: Shanghai Jiao Tong University)H-Index: 13
Abstract The phase field method has proven to be an important tool in computational fracture mechanics in that it does not require complicated crack tracking and is able to predict crack nucleation and branching. However, the computational cost of such a method is high due to a small regularization length parameter, which in turn restricts the maximum element size that can be used in a finite element mesh. In this work we developed a massively parallel algorithm on the graphical processing unit ...
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Abstract The phase-field model for fractures regularizes crack diffusion using a length-scale parameter. The displacement fields and the phase-field in a coupled system can be solved as either fully coupled 鈥渕onolithic鈥 or sequentially coupled 鈥渟taggered鈥 fields. In this paper, we employ the commercial finite-element software Abaqus to solve the monolithic and staggered phase-field models using a user-defined element (UEL) and user-defined material (UMAT/VUMAT) subroutines in two- and three-dime...
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