scholarly journals Three Dimensional CS-FEM Phase-Field Modeling Technique for Brittle Fracture in Elastic Solids

2018 ◽  
Vol 8 (12) ◽  
pp. 2488 ◽  
Author(s):  
Sauradeep Bhowmick ◽  
Gui-Rong Liu
Keyword(s):  
Brittle Fracture ◽  
Phase Field ◽  
Three Dimensional ◽  
Coupled System ◽  
Field Method ◽  
Three Dimensions ◽  
Modeling Technique ◽  
Phase Field Method ◽  
Elastic Solids ◽  
Model Complex

The cell based smoothed finite element method (CS-FEM) was integrated with the phase-field technique to model brittle fracture in 3D elastic solids. The CS-FEM was used to model the mechanics behavior and the phase-field method was used for diffuse fracture modeling technique where the damage in a system was quantified by a scalar variable. The integrated CS-FEM phase-field approach provides an efficient technique to model complex crack topologies in three dimensions. The detailed formulation of our combined method is provided. It was implemented in the commercial software ABAQUS using its user-element (UEL) and user-material (UMAT) subroutines. The coupled system of equations were solved in a staggered fashion using the in-built non-linear Newton–Raphson solver in ABAQUS. Eight node hexahedral (H8) elements with eight smoothing domains were coded in CS-FEM. Several representative numerical examples are presented to demonstrate the capability of the method. We also discuss some of its limitations.

Phase Field Modeling of Brittle Fracture Based on the Cell-Based Smooth FEM by Considering Spectral Decomposition

2020 ◽  
pp. 2050016 ◽  
Author(s):  
Fan Peng ◽  
Wei Huang ◽  
Y. E. Ma ◽  
Z. Q. Zhang ◽  
Yao Zhang
Keyword(s):  
Brittle Fracture ◽  
Phase Field ◽  
Spectral Decomposition ◽  
Strain Tensor ◽  
Phase Field Model ◽  
Field Method ◽  
Phase Field Method ◽  
Constitutive Response ◽  
Order Stress ◽  
Effective Phase

The spectral decomposition of the strain tensor is an essential technique to deal with the fracture problems via phase field method, and some incorrect results may be obtained without it. A novel phase field model for brittle fracture is developed based on cell-based smooth finite element (CS-FEM) and the spectral decomposition is taken into account. In order to describe the nonlinearity behaviors which contain the varied stress and elastic constitutive response caused by spectral decomposition. A second-order stress tensor and a fourth-order constitutive tensor based on decomposition of strain tensor are derived. A fundamental framework of CS-FEM is established to solve the phase field fracture problems, implemented by user-defined element (UEL) subroutine of ABAQUS software. The proposed model is validated by a typical Mode II crack, and the results show that the derived tensors are effective. Phase field parameter, CS-FEM parameter and mesh inhomogeneity are investigated to provide some useful suggestion for further development. Some classical numerical examples are solved by using the present model. The studies demonstrate that the proposed method can successfully overcome mesh distortion; the number of smooth cell does not show influences on the accuracy. Moreover, some results show that this method has the advantage over the standard FEM in convergence and computing efficiency.

Crack kinking and tunneling simulation for the single-fiber composite under transverse tension based on phase-field method

2020 ◽  
Vol 55 (5-6) ◽  
pp. 145-158
Author(s):  
Leying Song ◽  
Songhe Meng ◽  
Chenghai Xu ◽  
Guodong Fang ◽  
Qiang Yang ◽  
...  
Keyword(s):  
Numerical Model ◽  
Crack Initiation ◽  
Phase Field ◽  
Three Dimensional ◽  
Field Method ◽  
Fiber Reinforced Composites ◽  
Phase Field Method ◽  
Reinforced Composites ◽  
Fiber Reinforced ◽  
Transverse Tension

Virtual tests for a single-fiber–reinforced composite model subjecting to transverse tension are carried out based on a phase-field method considering a varying interface toughness parameter. Without pre-treating the crack initiation location and propagation path, the complete fracture process is realized for the first time in a three-dimensional numerical model, including nucleation cracks on the fiber/matrix interface at the free end, tunneling cracks along the fiber axis, and kinked interface cracks deviating from the interface and penetrating into the matrix. The numerically calculated crack propagation process is in good agreement with the in situ observations in the literature, indicating that the present model provides a good real-time quantitative numerical method for three-dimensional fracture analysis of fiber-reinforced composites. Tunneling cracks tend to cause macroscopic interface debonding and fiber pull-out. The interface tunneling crack initiation and the transition to the steady state inside the model are captured and analyzed in the numerical model. Kinked interface cracks can merge with other matrix cracks, forming a macroscopic transverse crack fracture mode. The kinking behaviors affected by the initial crack size and the interface properties are investigated. This study for the detailed crack propagation is helpful in understanding the toughening mechanism of fiber-reinforced composites under transverse tension.

Research of three-dimensional dendritic growth using phase-field method based on GPU

2014 ◽  
Vol 91 ◽  
pp. 146-152 ◽  
Author(s):  
Changsheng Zhu ◽  
Jinfang Jia ◽  
Li Feng ◽  
Rongzhen Xiao ◽  
Ruihong Dong
Keyword(s):  
Phase Field ◽  
Dendritic Growth ◽  
Three Dimensional ◽  
Field Method ◽  
Phase Field Method

scholarly journals Efficient 3D Volume Reconstruction from a Point Cloud Using a Phase-Field Method

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Darae Jeong ◽  
Yibao Li ◽  
Heon Ju Lee ◽  
Sang Min Lee ◽  
Junxiang Yang ◽  
...  
Keyword(s):  
Image Segmentation ◽  
Numerical Method ◽  
Phase Field ◽  
Point Cloud ◽  
Three Dimensional ◽  
Field Method ◽  
Phase Field Method ◽  
Volume Reconstruction ◽  
Hybrid Numerical Method ◽  
3D Volume

We propose an explicit hybrid numerical method for the efficient 3D volume reconstruction from unorganized point clouds using a phase-field method. The proposed three-dimensional volume reconstruction algorithm is based on the 3D binary image segmentation method. First, we define a narrow band domain embedding the unorganized point cloud and an edge indicating function. Second, we define a good initial phase-field function which speeds up the computation significantly. Third, we use a recently developed explicit hybrid numerical method for solving the three-dimensional image segmentation model to obtain efficient volume reconstruction from point cloud data. In order to demonstrate the practical applicability of the proposed method, we perform various numerical experiments.

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