Semi-analytical finite element method for fictitious crack model in fracture mechanics of concrete

2004 ◽  
Vol 25 (11) ◽  
pp. 1265-1270 ◽  
Author(s):  
Wang Cheng-qiang ◽  
Zheng Chang-liang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fracture Mechanics ◽  
Crack Model ◽  
Fictitious Crack Model ◽  
Fictitious Crack ◽  
Element Method

scholarly journals Implementation of Fictitious Crack Model Using Contact Finite Element Method for the Crack Propagation in Concrete under Cyclic Load

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Lanhao Zhao ◽  
Tianyou Yan ◽  
Xin Bai ◽  
Tongchun Li ◽  
Jing Cheng
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Propagation ◽  
Constitutive Relation ◽  
Cyclic Load ◽  
Contact Forces ◽  
Crack Model ◽  
Fictitious Crack Model ◽  
Fictitious Crack ◽  
Element Method

The mixed freedom finite element method proposed for contact problems was extended to simulate the fracture mechanics of concrete using the fictitious crack model. Pairs of contact points were set along the potential developing path of the crack. The displacement of structure was chosen as the basic variable, and the nodal contact force in contact region under local coordinate system was selected as the iteration variable to confine the nonlinear iteration process in the potential contact surface which is more numerically efficient. The contact forces and the opening of the crack were obtained explicitly enabling the softening constitutive relation for the concrete to be introduced conveniently by the fictitious crack model. According to the states of the load and the crack, the constitutive relation of concrete under cyclic load is characterized by six contact states with each contact state denoting its own displacement-stress relation. In this paper, the basic idea of the mixed freedom finite element method as well as the constitutive relation of concrete under cyclic load is presented. A numerical method was proposed to simulate crack propagation process in concrete. The accuracy and capability of the proposed method were verified by a numerical example against experiment data.

scholarly journals Prediction of the cohesive crack growth in concrete beams in bending by mean of fracture mechanics and the finite element method

1997 ◽  
Vol 19 (4) ◽  
pp. 64-72
Author(s):  
Tran Tu V.
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Growth ◽  
Concrete Beams ◽  
Fracture Analysis ◽  
Cohesive Crack ◽  
Crack Model ◽  
The Finite Element Method ◽  
Fictitious Crack ◽  
Element Method

The text presents the theoretical base for the construction of the program CGP-TROl. The fictitious crack model and the finite element method are employed for analyzing. This program is created to investigate two-dimensional models for the initiation and growth of the I-mode crack in notched beams in bending. The final result of the fracture analysis is the load-deflection diagram for the prediction of the cohesive crack growth in concrete notched beam in bending.

A gradient weighted extended finite element method (GW-XFEM) for fracture mechanics

2019 ◽  
Vol 230 (7) ◽  
pp. 2385-2398 ◽  
Author(s):  
S. Z. Feng ◽  
S. P. A. Bordas ◽  
X. Han ◽  
G. Wang ◽  
Z. X. Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fracture Mechanics ◽  
Extended Finite Element Method ◽  
Extended Finite Element ◽  
Element Method
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