Predicting residual strength of multi-cracked thin sheet plates based on CTOA or cohesive crack model using the extended finite element method

2010 ◽  
Vol 10 ◽  
pp. 012063 ◽  
Author(s):  
T Chau-Dinh ◽  
G Zi ◽  
J Kim
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Residual Strength ◽  
Extended Finite Element Method ◽  
Thin Sheet ◽  
Cohesive Crack ◽  
Crack Model ◽  
Cohesive Crack Model ◽  
Extended Finite Element ◽  
Element Method

scholarly journals Cast3M implementation of the extended finite element method for cohesive crack

2011 ◽  
Vol 33 (1) ◽  
pp. 55-64
Author(s):  
Nguyen Truong Giang ◽  
Ngo Huong Nhu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fracture Mechanics ◽  
Extended Finite Element Method ◽  
Brittle Materials ◽  
Cohesive Crack ◽  
Numerical Calculations ◽  
Extended Finite Element ◽  
Element Method

In this paper, the finite element for cohesive crack for quasi-brittle materials is constructed by the displacement discontinuities in the element. The algorithm of construction and procedures for involving this finite element into code Cast3M are presented. The numerical calculations in fracture mechanics are presented to demonstrate the benefits of the proposed implementation.

scholarly journals A Hybrid Finite Volume and Extended Finite Element Method for Hydraulic Fracturing with Cohesive Crack Propagation in Quasi-Brittle Materials

Materials ◽  
2018 ◽  
Vol 11 (10) ◽  
pp. 1921 ◽  
Author(s):  
Chong Liu ◽  
Zhenzhong Shen ◽  
Lei Gan ◽  
Tian Jin ◽  
Hongwei Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Volume ◽  
Extended Finite Element Method ◽  
Brittle Materials ◽  
Cohesive Crack ◽  
Picard Iteration ◽  
Extended Finite Element ◽  
Static Conditions ◽  
Element Method

High-pressure hydraulic fractures are often reported in real engineering applications, which occur due to the existence of discontinuities such as cracks, faults, or shear bands. In this paper, a hybrid finite volume and extended finite element method (FVM-XFEM) is developed for simulating hydro-fracture propagation in quasi-brittle materials, in which the coupling between fluids and deformation is considered. Flow within the fracture is modelled using lubrication theory for a one-dimensional laminar flow that obeys the cubic law. The solid deformation is governed by the linear momentum balance equation under quasi-static conditions. The cohesive crack model is used to analyze the non-linear fracture process zone ahead of the crack tip. The discretization of the pressure field is implemented by employing the FVM, while the discretization of the displacement field is accomplished through the use of the XFEM. The final governing equations of a fully coupled hydro-mechanical problem is solved using the Picard iteration method. Finally, the validity of the proposed method is demonstrated through three examples. Moreover, the fluid pressure distribution along the fracture, the fracture mouth width, and the pattern of the fracture are investigated. It is shown that the numerical results correlated well with the theoretical solutions and experimental results.

Semi-Analytical Finite Element Method for Bilinear Cohesive Crack Model in Mode I Crack Propagation

2006 ◽  
Vol 324-325 ◽  
pp. 755-758
Author(s):  
Cheng Qiang Wang ◽  
Zhong Hua Chen ◽  
Chang Liang Zheng
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Propagation ◽  
Cohesive Crack ◽  
Stress Fields ◽  
Crack Model ◽  
Cohesive Crack Model ◽  
Precise Description ◽  
Hamiltonian Theory ◽  
Element Method

Based on the Hamiltonian theory and method of elasticity, a ring and a circular hyper-analytical-elements are constructed and formulated. The hyper-analytical-elements give a precise description of the displacement and stress fields in the vicinity of crack tip for the bilinear cohesive crack model. The new analytical element can be implemented into finite element method program systems to solve crack propagation problems for plane structures with arbitrary shapes and loads. Numerical results for typical problems show that the method is simple, efficient and accurate.

Numerical Simulation of Quasi-Brittle Fracture in Concrete Structures with Extended Finite Element Method

2010 ◽  
Vol 163-167 ◽  
pp. 1837-1843 ◽  
Author(s):  
Hong Chang Qu ◽  
Xiao Zhou Xia ◽  
Zhi Qiang Xiong
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Growth ◽  
Extended Finite Element Method ◽  
Circumferential Stress ◽  
Cohesive Crack ◽  
Shear Stresses ◽  
Extended Finite Element ◽  
Discrete Crack ◽  
Element Method

In this paper, the extended finite element method (XFEM) is used for a discrete crack simulation of concrete using an adaptive crack growth algorithm. An interface model is proposed which includes normal and tangential displacements and allows the transfer of shear stresses through the interface. Different criteria for predicting the direction of the extension of a cohesive crack are conducted in the framework of the XFEM. On the basis of two examples, a comparison between the maximum circumferential stress criterion, the maximum energy release rate and the minimum potential energy criterion with experimental data has been carried out. The considered numerical simulations have confirmed the flexibility and effectiveness of the XFEM for the modelling of crack growth under general mode I and mixed-mode loading conditions.

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