Stress Intensity Factor of Dynamic Crack in Double-Layered Dry Sandy Elastic Medium due to Shear Wave under Different Loading Conditions
Publication: International Journal of Geomechanics
Volume 20, Issue 11
Abstract
This study deals with the deduction of the stress intensity factor (SIF) for the propagation of rectilinear semi-infinite noncentrally located interfacial crack influenced by propagating SH-waves in the framework of two different dry sandy layers composed of a strip under various loading conditions. Two-sided Fourier integral transform, Liouville's, and Abel's theorem along with the Wiener–Hopf technique serve as a salient feature of the adopted mathematical treatment. The analysis has been carried out for constant loading (CL) and stress-free (SF) cases under nonharmonic loading (NHL), and for constant amplitude of vibration (CAV) and SF cases under harmonic loading (HL). Moreover, the expression of SIF for the static crack has been obtained under various conditions of NHL and HL as a limiting case. The effects of various existing parameters, viz., dry sandiness ratio, width ratio, sandiness parameter of upper and lower layers, inhomogeneity parameter on the SIF for the previously mentioned cases along with comparative analysis for differently configured dry sandy elastic strips have been investigated numerically as well as graphically.
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Acknowledgments
The authors are grateful to the University Grants Commission, New Delhi, for providing a Senior Research Fellowship to Mr. Ajeet Kumar Singh to carry out this research. The authors are also indebted to the Department of Science and Technology, Science and Engineering Research Board (DST-SERB) for providing the necessary facilities for the completion of this study through the project: Mathematical Modelling of Seismic Wave Propagation in Composite Layered Structures. Project no. EMR/2017/000263/MS.
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Published In
International Journal of Geomechanics
Volume 20 • Issue 11 • November 2020
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Feb 27, 2020
Accepted: Jun 12, 2020
Published online: Sep 11, 2020
Published in print: Nov 1, 2020
Discussion open until: Feb 11, 2021
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