 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13088 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8125
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| In English (Mech. Solids): | | 4963 |
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| A. Mishra and A. Negi, "Analysis of Dynamic Stress Concentration in Double Poro-Viscoelastic Media under Moving Punch Impact Driven by SH-Wave," Mech. Solids. 60 (1), 197-215 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
197-215 |
| DOI |
10.1134/S0025654424605895 |
| Title |
Analysis of Dynamic Stress Concentration in Double Poro-Viscoelastic Media under Moving Punch Impact Driven by SH-Wave |
| Author(s) |
A. Mishra (Department of Mathematics, School of Advanced Sciences VIT-AP University, Andhra Pradesh, 522241 India, aparajita.22phd7068@vitap.ac.in)
A. Negi (Department of Mathematics, School of Advanced Sciences VIT-AP University, Andhra Pradesh, 522241 India, negi.anil3@gmail.com) |
| Abstract |
During an earthquake, SH-waves propagate through the rocks within the Earth’s crust,
causing the advancement of punches (localized stress concentrations) in the rock medium. This progression leads to significant stress accumulation around the propagating punch, which can impact the
stability of geological and human-made structures, potentially leading to structural failure. Therefore,
understanding the stress concentration near the moving punch driven by SH-wave propagation is crucial in seismological studies. This paper presents an analytical approach to examine the influence of
the punch velocity associated with SH-wave propagation, on the dynamic stress concentration (DSC)
in pre-stressed transversely isotropic double poroviscoelastic (TIDPV) rock media. A closed-form
expression for DSC under a constant force intensity has been derived using the Wiener-Hopf technique, along with Galilean and two-sided Fourier integral transformations. The significant impact of
various influencing parameters (viz. punch velocity associated with SH-wave propagation, horizontal
and vertical initial compressive/tensile stresses, porosity, and anisotropy parameter) on DSC has been
analyzed. Numerical computations and graphical illustrations for TIDPV rock media have been conducted to evaluate the profound impact of affecting parameters on DSC. Results indicate that increasing punch velocity amplifies DSC in double poro-viscoelastic media. Additionally, a comparative
analysis of the influence of porosity on DSC across three viscoelastic rock media-transversely isotropic double poro-viscoelastic (TIDPV), transversely isotropic single poro-viscoelastic (TISPV), and
isotropic double poro-viscoelastic (IDPV) – is graphically presented. The study highlights distinct
characteristics of DSC in each medium, providing valuable insights into stress behavior under dynamic
seismic conditions. Moreover, key insights and peculiarities have been identified from the derived DSC expression. |
| Keywords |
Dynamic stress concentration (DSC), Double poro-viscoelastic, Punch, Wiener-Hopf technique, two-sided Fourier transformation |
| Received |
21 October 2024 | Revised |
17 December 2024 | Accepted |
30 December 2024 |
| Link to Fulltext |
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