Crack propagation in the vicinity of the interface in layered materials

The paper deals with the problem of crack propagation in the vicinity of the interface in layered materials. Layered materials are often used in practice, primarily because of their better mechanical properties in comparison with the properties of individual materials components. The configuration of a crack with its tip at the bi-material interface can be created during crack propagation in the structure. It is important to decide if the crack propagates into the second material in this case. The step change of material properties at the bi-material interface means that classical linear elastic fracture mechanics are not appropriate. A generalized approach has to be applied. In this paper, two criteria are applied for the determination of the critical value of an applied load. Knowledge of these values is important for the estimation of the service life time of such structures. The results obtained can be used especially for multi-layer polymer composites designs. On the basis of the procedures presented, suitable materials combinations can be suggested for new composite structures. c © 2009 University of West Bohemia. All rights reserved.

[1]  Luboš Náhlík,et al.  CRACK INITIATION CRITERIA FOR SINGULAR STRESS CONCENTRATIONS Part III: An Application to a Crack Touching a Bimaterial Interface , 2008 .

[2]  A. Sanchez-Herencia,et al.  Residual stresses, strength and toughness of laminates with different layer thickness ratios , 2006 .

[3]  Andrzej Seweryn,et al.  Verification of brittle fracture criteria for elements with V-shaped notches , 2002 .

[4]  G. Sih.  A field model interpretation of crack initiation and growth behavior in ferroelectric ceramics: change of poling direction and boundary condition , 2002 .

[5]  Zheng Hong Zhu,et al.  Analysis of cracks perpendicular to bimaterial interfaces using a novel finite element , 1995 .

[6]  G. C. Sih,et al.  Sharp notch fracture strength characterized by critical energy density , 1991 .

[7]  Kevin Kendall,et al.  A Simple Way to Make Tough Ceramics. , 1991 .

[8]  D. N. Fenner.  Stress singularities in composite materials with an arbitrarily oriented crack meeting an interface , 1976, International Journal of Fracture.

[9]  K. Lin,et al.  Finite element analysis of stress intensity factors for cracks at a bi-material interface , 1976 .

[10]  J. Dundurs,et al.  Effect of Elastic Constants on Stress In A Composite Under Plane Deformation , 1967 .

[11]  G. C. Sih,et al.  A special theory of crack propagation , 1991 .

[12]  David R. Owen,et al.  Engineering fracture mechanics : numerical methods and applications , 1983 .

[13]  G. C. Sih,et al.  Applications of the finite element method to the calculations of stress intensity factors , 1973 .

[14]  G. C. Sih,et al.  Methods of analysis and solutions of crack problems : recent developments in fracture mechanics : theory and methods of solving crack problems , 1973 .