Title of article :
Stress intensity factor analysis of interface cracks using X-FEM
Author/Authors :
Toshio Nagashima، نويسنده , , Youhei Omoto، نويسنده , , Shuichi Tani، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Abstract :
The extended nite element method (X-FEM) proposed by Belytschko et al. (International Journal
for Numerical Methods in Engineering 1999; 45:602; 1999; 46:131; 2001; 50:993) uses interpolation
functions based on the concept of partition of unity, and considers the asymptotic solution and the
discontinuity of displacement elds near a crack independently of the nite element mesh. This paper
describes the application of X-FEM to stress analyses of structures containing interface cracks between
dissimilar materials. In X-FEM, an interface crack can be modelled by locally changing an interpolation
function in the element near a crack. The energy release rate should be separated into individual stress
intensity factors, K1 and K2, because the stress eld around the interface crack has mixed modes
coupled with mode-I and mode-II. For this purpose, various evaluation methods used in conjunction
with numerical methods such as FEM and BEM are reviewed. These methods are examined in numerical
examples of elastostatic analyses of structures containing interface cracks using X-FEM. The numerical
results show that X-FEM is an e ective method for performing stress analyses and evaluating stress
intensity factors in problems related to bi-material fractures
Keywords :
X-FEM , Fracture Mechanics , Interface crack , Stress intensity factor
Journal title :
International Journal for Numerical Methods in Engineering
Journal title :
International Journal for Numerical Methods in Engineering