The calculation of stress intensity factors ssing the finite element method with cracked elements

1984 ◽  
Vol 26 (4) ◽  
pp. 329-337 ◽  
Author(s):  
Esben Byskov
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Intensity ◽  
Stress Intensity Factors ◽  
The Finite Element Method ◽  
Intensity Factors ◽  
Element Method

Determination of energy release rates and stress-intensity factors by the finite-element method

1972 ◽  
Vol 7 (2) ◽  
pp. 125-131 ◽  
Author(s):  
J R Dixon ◽  
J S Strannigan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Intensity ◽  
Energy Release ◽  
Stress Intensity Factors ◽  
The Finite Element Method ◽  
Intensity Factors ◽  
Release Rates ◽  
Energy Release Rates ◽  
Element Method

It is shown that the finite-element method of analysis, used in conjunction with a generalized form of the compliance equations of fracture mechanics, can provide a general means of determining energy release rates and stress-intensity factors for complex crack configuration and loadings. The method is applied to several crack configurations in flat plates and in round bars.

Update: Application of the Finite Element Method to Linear Elastic Fracture Mechanics

2010 ◽  
Vol 63 (2) ◽  
Author(s):  
Leslie Banks-Sills
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Linear Elastic Fracture Mechanics ◽  
The Finite Element Method ◽  
Intensity Factors ◽  
Linear Elastic ◽  
Elastic Fracture ◽  
Element Method

Since the previous paper was written (Banks-Sills, 1991, “Application of the Finite Element Method to Linear Elastic Fracture Mechanics,” Appl. Mech. Rev., 44, pp. 447–461), much progress has been made in applying the finite element method to linear elastic fracture mechanics. In this paper, the problem of calculating stress intensity factors in two- and three-dimensional mixed mode problems will be considered for isotropic and anisotropic materials. The square-root singular stresses in the neighborhood of the crack tip will be modeled by quarter-point, square and collapsed, triangular elements for two-dimensional problems, respectively, and by brick and collapsed, prismatic elements in three dimensions. The stress intensity factors are obtained by means of the interaction energy or M-integral. Displacement extrapolation is employed as a check on the results. In addition, the problem of interface cracks between homogeneous, isotropic, and anisotropic materials is presented. The purpose of this paper is to present an accurate and efficient method for calculating stress intensity factors for mixed mode deformation. The equations presented here should aid workers in this field to carry out similar analyses, as well as to check their calculations with respect to the examples described.

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