Cohesive crack models for semi-brittle materials derived from localization of damage coupled to plasticity

1995 ◽  
Vol 69 (2) ◽  
pp. 101-122 ◽  
Author(s):  
Ragnar Larsson ◽  
Kenneth Runesson
Keyword(s):  
Brittle Materials ◽  
Cohesive Crack

A NEW METHOD TO DETERMINE TENSILE-STRAIN SOFTENING CURVE OF QUASI-BRITTLE MATERIALS

2014 ◽  
Vol 1 (1) ◽  
Author(s):  
Ruimei An ◽  
Shujin Duan ◽  
Quanmin Guo
Keyword(s):  
Crack Opening Displacement ◽  
Tensile Strain ◽  
Strain Softening ◽  
Crack Opening ◽  
Crack Problem ◽  
Brittle Materials ◽  
Cohesive Crack ◽  
New Method ◽  
Opening Displacement ◽  
Softening Curve

Based on weight integration to obtain a closed solution of cohesive crack problem, a new method is proposed to determine the tensile-strain softening curve (TSC) for quasi-brittle materials. The key technique is to determine the weight function by superposition of the solution with different fictitious crack lengths to satisfy a given crack opening displacement within cohesive crack surfaces. As an example, a central crack problem under uniform tension with given crack opening displacement in the fracture process zone (FPZ) was analyzed, the corresponding TSC was determined, and then the solution for stress and displacement field was obtained.

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.

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