Effect of friction of the crack faces for a linear crack under an oblique harmonic loading

Menshykov, Oleksandr; Menshykova, Marina; Guz, I. A.

doi:10.1016/j.ijengsci.2007.12.006

Cited by 18 publications

(21 citation statements)

References 13 publications

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“…It is unknown beforehand and must be determined as a part of solution. The complexity of the problem is further compounded by the fact that the contact behaviour is very sensitive to the material properties of two contacting surfaces, frequency, magnitude and direction of the external loading, Menshykov et al (2007Menshykov et al ( , 2008b, Menshykov and Guz (2008). Taking these effects into account will make the crack closure problem highly non-linear.…”

Section: The Problem Formulationmentioning

confidence: 99%

Modelling Crack Closure for an Interface Crack Under Harmonic Loading

2010

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The paper is devoted to a linear crack located between two dissimilar elastic half-spaces under normally incident harmonic tension-compression loading. The system of boundary integral equations for displacements and tractions is derived from the dynamic Somigliana identity. The dynamic stress intensity factors (the opening and the transverse shear modes) are computed as functions of the loading frequency taking the contact interaction of the opposite crack faces into account. The results are compared with those obtained neglecting the crack closure.

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Section: The Problem Formulationmentioning

confidence: 99%

Modelling Crack Closure for an Interface Crack Under Harmonic Loading

2010

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“…where x ∈ , ω k = 2π k/T , j = 1, 2 and contact area would be unknown beforehand and must be determined as a part of the solution, see, for example, [39,42,43], where the nonlinear effects due to the crack closure were analysed for cracks under time-harmonic loading in homogeneous and heterogeneous elastic materials. Considering this crack face interaction effect for the case of transient impact loading will be the next natural stage of the research.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The detailed expressions for the real and imaginary parts of the integral kernels are given in [43].…”

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confidence: 99%

A boundary integral equation method in the frequency domain for cracks under transient loading

et al. 2016

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This paper concerns the fracture mechanics problem for elastic cracked materials under transient dynamic loading. The problem is solved by use of the boundary integral equations in the frequency domain, and the components of the solution are presented by the Fourier exponential series. The dynamic stress intensity factors are computed for different stress pulses and compared with those obtained for the case of the Heaviside loading.

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“…The order of singularity and the structure of integrals depend on the types of the weight and trial functions used. The hypersingular integrals were treated in the sense of the Hadamar finite part, see [6,7].…”

Section: Problem Statement and Solution Methodsmentioning

confidence: 99%

Elastodynamic Problem of an Interface Linear Crack under Harmonic Loading

Mykhailova

Menshykov

Guz

2008

Proc Appl Math and Mech

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The present work is devoted to application of boundary integral equations to the 2D problem for a linear crack located on the bimaterial interface under harmonic loading. The system of linear algebraic equations is derived to solve the problem numerically. The distribution of the displacements and tractions at the bonding interface and the surface of the crack are obtained for the case of the tension-compression wave which propagates normally to the interface. The results are compared with those obtained for the static case.

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Effect of friction of the crack faces for a linear crack under an oblique harmonic loading

Cited by 18 publications

References 13 publications

Modelling Crack Closure for an Interface Crack Under Harmonic Loading

Modelling Crack Closure for an Interface Crack Under Harmonic Loading

A boundary integral equation method in the frequency domain for cracks under transient loading

Elastodynamic Problem of an Interface Linear Crack under Harmonic Loading

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