Stress Concentrations in an Intermingled Hybrid Composite

1997 ◽  
Vol 64 (4) ◽  
pp. 738-742
Author(s):  
H. A. Luo ◽  
Q. Wang
Keyword(s):  
Integral Equations ◽  
Hybrid Composite ◽  
Continuous Distribution ◽  
Singular Integral Equations ◽  
High Modulus ◽  
Stress Concentrations ◽  
Shear Lag Model ◽  
Lag Model ◽  
Low Modulus ◽  
Stress Concentration Factors

This paper studies the stress redistribution in a tensile hybrid composite sheet due to the breakage of a high modulus fiber. Employing a continuous distribution of dislocations, a set of singular integral equations is established to analyze the fiber crack impinging upon weakly bonded fiber-matrix interfaces. After solving the integral equations numerically, the stress concentration factors of both high modulus and low modulus fibers are evaluated as a function of loading stress and interfacial parameters. The results are compared with those obtained from shear-lag model solution.

Stress Concentrations in a Hybrid Composite Sheet

1983 ◽  
Vol 50 (4a) ◽  
pp. 845-848 ◽  
Author(s):  
H. Fukuda ◽  
T. W. Chou
Keyword(s):  
Stress Concentration ◽  
Hybrid Composite ◽  
Fiber Strength ◽  
Series Representation ◽  
High Modulus ◽  
Composite Sheet ◽  
Stress Concentrations ◽  
Low Modulus ◽  
Concentration Factors ◽  
Stress Concentration Factors

This paper examines the load redistribution in a hybrid composite sheet due to fiber breakage. The hybrid composite contains both high modulus and low modulus fibers arranged in alternating positions. Stress concentration factors for both types of fibers immediately adjacent to a group of fractured fibers have been evaluated. The method of influence function and Fourier series representation are adopted. Results of stress concentration factors are presented in terms of the number of fractured fibers and their geometric arrangements. Reduction of the stress concentration factor of the high modulus fibers when dispersed among the low modulus fibers provides a theoretical explanation of the observed “hybrid effect.” The present analysis can be readily incorporated into a failure model taking into account the statistical nature of fiber strength.

scholarly journals Analytical Study of a Pin-Loaded Hole in Unidirectional Laminated Composites With Triangular and Circular Fibers

2013 ◽  
Vol 80 (2) ◽  
Author(s):  
Hossein Robati ◽  
Mohammad Mahdi Attar
Keyword(s):  
Composite Structures ◽  
Analytical Study ◽  
Glass Fibers ◽  
Stress Fields ◽  
Shear Lag ◽  
Stress Concentrations ◽  
Equilibrium Equations ◽  
Shear Lag Model ◽  
Lag Model ◽  
Good Agreement

The problem of stress concentrations in the vicinity of pin-loaded holes is of particular importance in the design of multilayered composite structures made of triangular or circular glass fibers. It is assumed that all of the fibers in the laminate lie in one direction while loaded by a force p0 at infinity, parallel to the direction of the fibers. According to the shear lag model, equilibrium equations are derived for both types of fibers. A rectangular arrangement is postulated in either case. Upon the proper use of boundary and bondness conditions, stress fields are derived within the laminate, along with the surrounding pinhole. The analytical results are compared to those of the finite element values. A very good agreement is observed between the two methods. According to the results, composite structures made of triangular glass fibers result in lower values of stress concentrations around the pin, as opposed to those of circular glass fibers.

Elliptical Cutouts in Cylindrical Shells

1975 ◽  
Vol 42 (2) ◽  
pp. 326-334 ◽  
Author(s):  
C.-J. Tsai ◽  
J. L. Sanders
Keyword(s):  
Cylindrical Shell ◽  
Internal Pressure ◽  
Integral Equations ◽  
Singular Integral ◽  
Cylindrical Shells ◽  
Singular Integral Equations ◽  
Loading Conditions ◽  
Stress Concentrations ◽  
Shallow Cylindrical Shell

The stress concentrations due to an elliptical cutout in a shallow cylindrical shell are determined by means of a system of singular integral equations, solved numerically. Three loading conditions are considered: tension, torsion, and internal pressure. Results confirm those obtained by previous authors by other methods and extend the range of parameters over which results are available.

On Branched, Interface Cracks

1981 ◽  
Vol 48 (3) ◽  
pp. 529-533 ◽  
Author(s):  
K. Hayashi ◽  
S. Nemat-Nasser
Keyword(s):  
Integral Equations ◽  
Contact Region ◽  
Continuous Distribution ◽  
Singular Integral Equations ◽  
Potential Method ◽  
Intensity Factors ◽  
Interface Cracks ◽  
Branch Lengths ◽  
Interface Contact ◽  
Edge Dislocations

The problem of branched, external cracks in the interface between two elastic materials is considered under the plane strain condition. A small interface contact region is introduced in the vicinity of each crack tip in order to remove oscillatory singularities. The branches are replaced by continuous distribution of edge dislocations, and, with the aid of Muskhelishvili’s potential method, the problem is reduced to a system of singular integral equations which are defined on the branches and the perfectly bonded region of the interface. The unknown functions of these integral equations are the shear stress acting on the bonded region, and the density functions of the edge dislocations. Stress-intensity factors of the interface cracks and branches are obtained numerically for several branch angles and branch lengths. Finally, the question of kinking from a tip of an interface crack is discussed with the aid of the results.

SOLUTION TO THE MODEL PROBLEM OF EXCITATION OF LOADED CONIC SLOT ANTENNA BY METHOD OF SINGULAR INTEGRAL EQUATIONS

2016 ◽  
Vol 75 (20) ◽  
pp. 1799-1812
Author(s):  
V. A. Doroshenko ◽  
S.N. Ievleva ◽  
N.P. Klimova ◽  
A. S. Nechiporenko ◽  
A. A. Strelnitsky
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Model Problem ◽  
Singular Integral Equations ◽  
Slot Antenna

Singular integral equations in the bound-state problem

1965 ◽  
Vol 35 (3) ◽  
pp. 913-932 ◽  
Author(s):  
G. Cosenza ◽  
L. Sertorio ◽  
M. Toller
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Bound State ◽  
State Problem ◽  
Bound State Problem
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