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多裂纹扩展的扩展有限元法分析_石路杨
35 1 Vol.35 No. 1
2014 1 Rock and Soil Mechanics Jan. 2014 (2014) 01 0263 10
210098
Lagrange
1 2
Lgrange
TU 457 A
Analysis of multiple crack growth using extended finite element method
SHI Lu-yangYU Tian-tang
Department of Engineering Mechanics, Hohai University, Nanjing 210098, China
Abstract: The extended finite element method of multiple crack growth is presented. The crack junction is analyzed using the
junction enrichment function; th e generalized nodal shape functions are used in a cluster of nodes around the cracks, a ramp function
is used to avoid the blending element problem. These techniques can effectively improve the accuracy of stresses in the vicinity of
crack. The mortar method (segment-to-segment contact approach) in combination with the augmented Larange method is adopted to
establish the contact conditions between crack faces. Thus the contact is modeled precisely; and it is convenient to solve the control
equations. Several numerical examples are analyzed as follows: (1) computing the stress intensity factors of the cross crack, the
proposed method can obtain higher accuracy; (2) simulating the growth and coalescence of multiple cracks, the numerical results are
good in agreement with the experiments; it shows the reliability of the present method.
Key words: multiple cracks; extended finite element method;
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