Virtual crack extension method for calculating the second order derivatives of energy release rates for multiply cracked systems

2007 ◽  
Vol 74 (9) ◽  
pp. 1468-1487 ◽  
Author(s):  
C.G. Hwang ◽  
A.R. Ingraffea
Keyword(s):  
Energy Release ◽  
Crack Extension ◽  
Second Order ◽  
Release Rates ◽  
Extension Method ◽  
Virtual Crack Extension ◽  
Energy Release Rates ◽  
Virtual Crack Extension Method ◽  
Derivatives Of

Virtual Crack Extension Method for Energy Release Rate Calculations in Flawed Thin Shell Structures

1987 ◽  
Vol 109 (1) ◽  
pp. 101-107 ◽  
Author(s):  
P. LeFort ◽  
H. G. deLorenzi ◽  
V. Kumar ◽  
M. D. German
Keyword(s):  
Finite Element Analysis ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Thin Shell ◽  
Crack Extension ◽  
Element Analysis ◽  
Extension Method ◽  
Virtual Crack Extension ◽  
Virtual Crack Extension Method

The calculation of the energy release rate, G, by the virtual crack extension method has been used extensively in the literature over the last few years. A formulation and implementation of the energy release rate for use with 8 and 9-noded isoparametric thin shell elements is described in this paper. The representation used in the paper allows the calculation of G either as an integral part of a finite element analysis or separately in a postprocessing program using the stress and strain data from a finite element analysis as input. The results presented in the paper are compared with those published in the literature for several elastic as well as elastic-plastic crack problems.

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