Solutions of a crack interacting with a three-phase composite in plane elasticity

Chao, Ching‐Kong; Wikarta, Alief

doi:10.1016/j.apm.2015.09.089

Cited by 4 publications

(2 citation statements)

References 29 publications

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“…The interaction problem between an isolated circular inclusion and a line crack embedded in an infinite matrix was considered by Erdogan et al [2]. Chao and Wikarta [3] investigated the interaction between a crack and a circularly cylindrical layered media under a remote uniform load for plane elasticity. Similar work of crack-inclusion interaction under various loading conditions and with different material properties was done by Tamate [4], Atkinson [5] and many other researchers [6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

The interaction problem of two Zener–Stroh cracks with a nearby inhomogeneity

Fan

Xiao²,

Zhang

2017

Mathematics and Mechanics of Solids

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In this paper, the interaction among two Zener–Stroh cracks (with plastic zone correction) and a nearby circular inclusion are investigated. To evaluate the plastic zone sizes at crack tips in the current physical problem is a great challenge. As the first attempt to explore the multiple defects’ interaction effect on the yielding behavior of a crack, we focused on the analysis of one target crack, while the other crack and the circular inhomogeneity are treated as influence factors. With the help of coordinate transformation and superposition procedure, the formulated singular integral equations can be solved numerically. The influence of material properties, crack–crack positions and other parameters, such as crack length and Burgers vector of the Zener–Stroh crack, on the target crack tip stress intensity factor, plastic zone size and crack tip opening displacement are examined. It is found that the effects of the aforesaid parameters on the cracks are all inter-related and dependent on each other. This observation reveals the complexity of fracture analysis and the necessity to have a deep research on interacting defects in composite materials.

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Section: Introductionmentioning

confidence: 99%

The interaction problem of two Zener–Stroh cracks with a nearby inhomogeneity

Fan

Xiao²,

Zhang

2017

Mathematics and Mechanics of Solids

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“…The integral equations may be classified into four types. The first type is SIE with crack opening displacement function (COD) [1], the second type is SIE with the dislocation distribution function [2,3], the third is weakly singular integral equation with logarithmic kernel [4,5], and the fourth type is HSIE [6,7,8,9]. A curve length method was developed to solve the integral equations for the curved crack problems numerically for infinite plate [10,11], and for elastic half plane [7].…”

Section: Introductionmentioning

confidence: 99%

Stress intensity factor for multiple cracks in half plane elasticity

Elfakhakhre

Long

Eshkuvatov

2017

AIP Conference Proceedings

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Abstract. The multiple cracks problem in an elastic half-plane is formulated into singular integral equation using the modified complex potential with free traction boundary condition. A system of singular integral equations is obtained with the distribution dislocation function as unknown, and the traction applied on the crack faces as the right hand terms. With the help of the curved length coordinate method and Gauss quadrature rule, the resulting system is solved numerically. The stress intensity factor (SIF) can be obtained from the unknown coefficients. Numerical examples exhibit that our results are in good agreement with the previous works, and it is found that the SIF increase as the cracks approaches the boundary of half plane.

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