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2019 | OriginalPaper | Chapter

Stress State Near Arbitrarily Oriented Cracks on the Continuation of a Rigid Inclusion Under Action of Longitudinal Shear Wave

Authors : А. S. Misharin, V. G. Popov

Published in: Proceedings of the Second International Conference on Theoretical, Applied and Experimental Mechanics

Publisher: Springer International Publishing

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Abstract

The problem about determining of the dynamic stress intensity factors (SIF) for the cracks that are located at an angle from the ends of the inclusion is solved. The inclusion is located in an unbounded elastic body, in which the longitudinal shear harmonic waves are propagated. Unknown amplitude of inclusions are determined from the equations of motion. Boundary conditions are formed in the assumption that the inclusion is fully coupled with the medium (matrix), and the surface of cracks are not loaded. The method of the solution is based on the presentation of displacements in the body as a superposition of three discontinuous solutions which are built respectively to the cracks and the inclusion. As result the original problem is reduced to the system of the singular integral equations for unknown jumps of stresses and displacements to the defect. For the numerical solution of the system the method is developed. It takes into consider the real asymptotic of the unknown functions and uses the special quadrature formulas for singular integrals.

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previous chapter Determination by Iterative Method of Diffraction Field at the Interaction Longitudinal Shear Wave with the System of Thin Rigid Inclusions
next chapter Stress State of a Hollow Cylindrical Body with a System of Cracks Under Oscillations of Longitudinal Shear
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Metadata
Title
Stress State Near Arbitrarily Oriented Cracks on the Continuation of a Rigid Inclusion Under Action of Longitudinal Shear Wave
Authors
А. S. Misharin
V. G. Popov
Copyright Year
2019
Book
Proceedings of the Second International Conference on Theoretical, Applied and Experimental Mechanics

Print ISBN: 978-3-030-21893-5

Electronic ISBN: 978-3-030-21894-2

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-21894-2_43

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