scholarly journals An Analysis of Mode III Doubly Periodic Crack-Tip Field of Orthotropic Composite Materials

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Wenbin Zhao ◽  
Chan Li ◽  
Xuexia Zhang ◽  
Hailing Xie ◽  
Lujuan Yu
Keyword(s):  
Stress Intensity ◽  
Composite Materials ◽  
Crack Tip ◽  
Shear Loading ◽  
Jacobi Elliptic Function ◽  
Crack Tip Field ◽  
Orthotropic Composite ◽  
Crack Tips ◽  
The Impact ◽  
Periodic Crack

The mechanical behavior near the doubly periodic crack tips for orthotropic composite materials plate subjected to antiplane shear loading is studied. This is done by complex function theory and conformal mapping of the Jacobi elliptic function with the help of boundary conditions. The analytical solution of the crack-tips stress intensity factor and the expression of stress fields are obtained. Numerical examples are given to analyze the impact of the different transverse spacing, longitudinal spacing, and the ratio of cracks periods on stress intensity factors. The results show that the crack-tip field increases with reducing either the transverse spacing or the longitudinal spacing. At the same time, the crack-tip field increases with the decrease of the ratio of cracks periods. This shows that the distribution form makes an important effect on the crack-tip field, but the crack density parameter is not the only cause.

Crack-tip field on mode II interface crack of double dissimilar orthotropic composite materials

2009 ◽  
Vol 30 (12) ◽  
pp. 1489-1504 ◽  
Author(s):  
Xue-xia Zhang ◽  
Xiao-chao Cui ◽  
Wei-yang Yang ◽  
Jun-lin Li
Keyword(s):  
Composite Materials ◽  
Interface Crack ◽  
Crack Tip ◽  
Mode Ii ◽  
Crack Tip Field ◽  
Orthotropic Composite

Stress Field of Semi-Infinite Interface Crack Tip of Double Dissimilar Orthotropic Composite Materials

2010 ◽  
Vol 97-101 ◽  
pp. 1223-1226
Author(s):  
Jun Lin Li ◽  
Shao Qin Zhang
Keyword(s):  
Composite Material ◽  
Composite Materials ◽  
Interface Crack ◽  
Interfacial Crack ◽  
Crack Tip ◽  
Stress Fields ◽  
Displacement Fields ◽  
Orthotropic Composite ◽  
Stress Functions ◽  
Secular Equations

The problem of orthotropic composite materials semi-infinite interfacial crack was studied, by constructing new stress functions and employing the method of composite material complex. In the case that the secular equations’ discriminates the and theoretical solutions to the stress fields and the displacement fields near semi-infinite interface crack tip without oscillation and inter-embedding between the interfaces of the crack are obtained, a comparison with finite element example was done to verify the correction of theoretical solution.

On the Extent of Dominance of Asymptotic Elastodynamic Crack-Tip Fields: Part II—Numerical Investigation of Three-Dimensional and Transient Effects

1991 ◽  
Vol 58 (1) ◽  
pp. 95-103 ◽  
Author(s):  
Sridhav Krishnaswamy ◽  
Ares J. Rosakis ◽  
G. Ravichandran
Keyword(s):  
Three Dimensional ◽  
Crack Tip ◽  
Experimental Results ◽  
Mode I ◽  
Transient Effects ◽  
Adequate Description ◽  
Crack Tip Field ◽  
Drop Weight ◽  
The Impact ◽  
Laboratory Specimen

In Part I of this paper, the question of the extent of dominance of the mode I asymptotic elastodynamic crack-tip field (the KdI-field) was studied experimentally. Here, the results of two and three-dimensional elastodynamic finite element simulations of the drop-weight experiments are reported. The load records as obtained from the impact hammer and supports of the drop-weight loading device were used as boundary tractions in the numerical simulations. For the laboratory specimen studied, the results of the simulations indicate that the asymptotic elastodynamic field is not an adequate description of the actual fields prevailing over any sizeable region around the crack tip. This confirms the experimental results of Part I which showed that three-dimensional and transient effects necessarily have to be taken into account for valid interpretation of experimental results.

Analysis of a Curved Interfacial Crack Between Viscoelastic Foam and Anisotropic Composites Under Antiplane Shear

2003 ◽  
Vol 17 (08n09) ◽  
pp. 1573-1579
Author(s):  
Heoung Jae Chun ◽  
Sang Hyun Park
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Composite Materials ◽  
Intensity Factor ◽  
Hilbert Problem ◽  
Crack Problem ◽  
Interfacial Crack ◽  
Shear Loading ◽  
Antiplane Shear ◽  
Stiffness Coefficients

The analysis of curved interfacial crack between viscoelastic foam and anisotropic composites was conducted under antiplane shear loading applied at infinity. In the analysis, in order to represent viscoelastic behavior of foam, the Kelvin-Maxwell model was incorporated and Laplace transform was applied to treat the viscoelastic characteristics of foam. The curved interfacial crack problem was reduced to a Hilbert problem and a closed-form asymptotic solution was derived. The stress intensity factors in the vicinity of the interfacial crack tip were predicted by considering both anisotropic characteristics of composites and viscoelastic properties of foam. It was found from the analysis that the stress intensity factor was governed by material properties such as shear modulus and relaxation time, and increased with the increase in the curvature as well as the ratio of stiffness coefficients of composite materials. It was also observed that the effect of fiber orientation in the composite materials on the stress intensity factor decreased with the increase in the difference in stiffness coefficients between foam and composite.

scholarly journals Interpretation of Plasticity Effects Using the CJP Crack Tip Field Model

2016 ◽  
Vol 258 ◽  
pp. 117-124 ◽  
Author(s):  
M. Neil James ◽  
Colin J. Christopher ◽  
Francisco Alberto Díaz Garrido ◽  
Jose M. Vasco-Olmo ◽  
Toshifumi Kakiuchi ◽  
...  
Keyword(s):  
Fatigue Crack ◽  
Stress Intensity ◽  
Strain Gauge ◽  
Field Model ◽  
Elastic Stress ◽  
Crack Tip ◽  
Stress Fields ◽  
Intensity Factors ◽  
Crack Tip Field ◽  
Elastic Stresses

This paper will outline the development of a model of crack tip fields that represents an innovation in incorporate the influences on crack tip displacement and stress fields of the zone of local plasticity that envelops a growing fatigue crack. The model uses assumed distributions of elastic stresses induced at the elastic-plastic boundary via wake contact and compatibility requirements, and defines a set of modified elastic stress intensity factors to characterise the crack stress or displacement tip field. In particular, recent work will be presented that compares the interpretation of plasticity-induced shielding obtained from trends observed in KR and KF with values of so-called ‘crack closure’ obtained via traditional strain gauge determination.

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