An analytical model for periodic α°-layer cracking in composite laminates

An analytical model is proposed for periodic matrix cracking in α°-layers of symmetric composite laminates. The coupling effects between tensile and shear stresses are taken into account. The analysis uses a quadratic displacement distribution in the thickness direction in each layer and the interla...

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Bibliographic Details
Published inInternational journal of fracture Vol. 102; no. 3; pp. L73 - L87
Main Authors LAPUSTA, Yu. N, HENAFF-GARDIN, C
Format Journal Article
LanguageEnglish
Published Heidelberg Springer 01.04.2000
Springer Nature B.V
Subjects
Boundary conditions
Exact sciences and technology
Exact solutions
Fracture mechanics (crack, fatigue, damage...)
Fracture mechanics, fatigue and cracks
Fundamental areas of phenomenology (including applications)
Interlaminar stress
Laminates
Mathematical analysis
Mathematical models
Matrix cracks
Physics
Shear stress
Solid mechanics
Stiffness matrix
Stress concentration
Stress distribution
Structural and continuum mechanics
Thickness
Crack array
Matrix fracture
Stratified material
Modeling
Composite material
Periodicity
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Summary:An analytical model is proposed for periodic matrix cracking in α°-layers of symmetric composite laminates. The coupling effects between tensile and shear stresses are taken into account. The analysis uses a quadratic displacement distribution in the thickness direction in each layer and the interlaminar-shear-stress stiffness matrix, proposed by Tsai, Daniel and Lee (1990). An analytical solution has been obtained for a general case of angle α with allowance for the appropriate boundary conditions at the crack surfaces. Numerical examples demonstrate the implementation of the method for calculating stress distribution in layers between two neighbouring cracks.
ISSN:0376-9429
1573-2673
DOI:10.1023/A:1007696725543