Longitudinal Shear of a Compound Elastic Half-Space Weakened by Cracks

Karo L. Aghayan; Edvard Kh. Grigoryan; Vahan G. Zakaryan

doi:10.4028/www.scientific.net/AMR.1020.286

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 1020Longitudinal Shear of a Compound Elastic...

Longitudinal Shear of a Compound Elastic Half-Space Weakened by Cracks

Abstract:

The problem of fracture mechanics concerning contact interaction between elastic infinite plate and elastic compound semi–space is investigated. Plate and semi–space are weakened by finite through cracks, which are perpendicular to surface of heterogeneity in the same plane. Assuming that structure is deformed in antiplane deformation state it is required to determine the contact stress distribution and fracture stress intensity factors dependence of structure heterogeneity and geometrical parameters. Using the Fourier integral transform the problem is reduced to find the solutions of system of two singular integral equations. System solutions behavior at integration domain endpoints is investigated for all cases. In some special cases of cracks location, equations kernels can also contain fixed singularities. An efficient numerical method to solve such equations is suggested. Numerical calculations are done and results are shown in tables and graphs, which express contact stresses and stress intensity factors dependence on problem parameters and simultaneously reveal dangerous cases of fracture of the structure.

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Periodical:

Advanced Materials Research (Volume 1020)

Pages:

286-290

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1020.286

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Online since:

October 2014

Authors:

Karo L. Aghayan*, Edvard Kh. Grigoryan, Vahan G. Zakaryan

Keywords:

Crack, Elasticity, Fracture, Integral Equation, Nonhomogeneity, Stress Intensity Factor (SIF)

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References

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