TY - JOUR
T1 - Stress intensity factors as the fracture parameters for delamination crack growth in composite laminates
AU - Chow, Wai Tuck
AU - Atluri, Satya N.
N1 - Funding Information:
The support of this research by the FAA under a grant to the Center of Excellence for Computational Modeling of Aircraft Structures, and by a grant from the ONR, is gratefully acknowledged. The encouragement of the program officials, Drs D. Oplinger, P. Shyprykerich and Y.D.S. Rajapakse, is thankfully acknowledged.
PY - 1997
Y1 - 1997
N2 - A 'mutual integral' approach is used to calculate the mixed-mode stress intensity factors for a free-edge delamination crack in a laminate under tensile loading conditions. This 'mutual integral' approach, for generalized plane-strain conditions, is based on the application of the path-independent J integral to a linear combination of three solutions: one, the problem of the laminate to be solved by using the quasi 3D finite element method; the second, an 'auxiliary' solution with a known asymptotic singular solution; and the third, the particular solution due to the out-of-plane loading. A comparison with the exact solutions is made to determine the accuracy and efficiency of this numerical method. With this 'mutual integral' approach, it was found that the calculated mixed-mode stress intensity factors of the free-edge delamination crack remain relatively constant as the crack propagates into the laminate. It was also found that the fracture criterion based on the mixed-mode stress intensity factors is more consistent with the experimental observations than the criterion based on the total energy release rate, and hence demonstrates the importance of the ability to calculate each individual component of the stress intensity factors. Furthermore, it was found that the fracture toughness measurements from double cantilever beam specimens can be used directly to predict the onset of delamination crack growth between two dissimilar laminae. By using these fracture toughness measurements from the double cantilever beam specimens, some examples are given to show that the fracture criterion based on the mixed-mode stress intensity factors can accurately predict the failure load for various laminates under tensile loading conditions.
AB - A 'mutual integral' approach is used to calculate the mixed-mode stress intensity factors for a free-edge delamination crack in a laminate under tensile loading conditions. This 'mutual integral' approach, for generalized plane-strain conditions, is based on the application of the path-independent J integral to a linear combination of three solutions: one, the problem of the laminate to be solved by using the quasi 3D finite element method; the second, an 'auxiliary' solution with a known asymptotic singular solution; and the third, the particular solution due to the out-of-plane loading. A comparison with the exact solutions is made to determine the accuracy and efficiency of this numerical method. With this 'mutual integral' approach, it was found that the calculated mixed-mode stress intensity factors of the free-edge delamination crack remain relatively constant as the crack propagates into the laminate. It was also found that the fracture criterion based on the mixed-mode stress intensity factors is more consistent with the experimental observations than the criterion based on the total energy release rate, and hence demonstrates the importance of the ability to calculate each individual component of the stress intensity factors. Furthermore, it was found that the fracture toughness measurements from double cantilever beam specimens can be used directly to predict the onset of delamination crack growth between two dissimilar laminae. By using these fracture toughness measurements from the double cantilever beam specimens, some examples are given to show that the fracture criterion based on the mixed-mode stress intensity factors can accurately predict the failure load for various laminates under tensile loading conditions.
KW - A. lamina/ply
KW - C. Stress concentration
KW - C. delamination
KW - C. finite element analysis (FEA)
UR - http://www.scopus.com/inward/record.url?scp=0030658440&partnerID=8YFLogxK
U2 - 10.1016/S1359-8368(96)00056-X
DO - 10.1016/S1359-8368(96)00056-X
M3 - Article
AN - SCOPUS:0030658440
SN - 1359-8368
VL - 28
SP - 375
EP - 384
JO - Composites Part B: Engineering
JF - Composites Part B: Engineering
IS - 4
ER -