Fracture modeling using meshless methods and level sets in 3D: Framework and modeling

2012 ◽  
Vol 92 (11) ◽  
pp. 969-998 ◽  
Author(s):  
X. Zhuang ◽  
C.E. Augarde ◽  
K.M. Mathisen
Keyword(s):  
Level Sets ◽  
Meshless Methods ◽  
Fracture Modeling ◽  
3D Framework

A SIMPLIFIED MESHLESS METHODS FOR BRITTLE FRACTURE OF CONCRETE

2013 ◽  
Vol 10 (03) ◽  
pp. 1350007 ◽  
Author(s):  
N. SAGARESAN
Keyword(s):  
Brittle Fracture ◽  
Cohesive Zone ◽  
Cohesive Zone Model ◽  
Bulk Material ◽  
Meshless Methods ◽  
Nonlinear Material ◽  
Zone Model ◽  
Discrete Crack ◽  
Fracture Modeling ◽  
Consistent Linearization

A simplified meshless methods for brittle fracture and nonlinear material is presented. In this method, the crack is modeled by a set of discrete crack segments crossing the entire domain of influence of the meshless shape functions. The key advantage of this method is its simplicity since no representation of the crack topology is needed. A nonlocal stress tensor around the crack tip is used as fracture criterion. A neo-Hooke material in the bulk material is used and a cohesive zone model is employed once discrete cracks occur. We also present consistent linearization of the cohesive zone model. The method is applied to fracture modeling in concrete that is accompanied by excessive cracking and therefore methods that represent the crack path have major drawbacks. We demonstrate the accuracy of the proposed method for complex problems involving mode-I and mixed mode failure.

FRACTURE MODELING IN TWO-DIMENSIONAL PROBLEMS USING A G/XFEM OBJECT-ORIENTED IMPLEMENTATION

2017 ◽  
Author(s):  
Mohmmad Malekan ◽  
FELICIO BARROS ◽  
Leandro Silva ◽  
Roque Luiz da Silva Pitangueira
Keyword(s):  
Object Oriented ◽  
Two Dimensional ◽  
Fracture Modeling

Perfect level sets in many directions

1986 ◽  
Vol 12 (1) ◽  
pp. 176
Author(s):  
Malý
Keyword(s):  
Level Sets

LEVEL SETS OF A TYPICAL C n FUNCTION

1998 ◽  
Vol 24 (1) ◽  
pp. 83
Author(s):  
Darji ◽  
Morayne
Keyword(s):  
Level Sets
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