Download this article
 Download this article For screen
For printing
Recent Issues

Volume 20
Issue 3, 269–376
Issue 2, 125–267
Issue 1, 1–124

Volume 19, 5 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN 1559-3959 (online)
ISSN 1559-3959 (print)
 
Author index
To appear
 
Other MSP journals
Dynamic stress concentration caused by a moving punch in double-porous rock media

Aparajita Mishra and Anil Negi

Vol. 20 (2025), No. 2, 143–156
Abstract

During an earthquake, SH-waves propagate through the Earth’s crust, causing the advancement of localized stress concentrations, or punches, within the rock medium. This progression results in substantial stress accumulation around the moving punch, threatening the stability of geological formations and human-made structures, potentially leading to structural failure. Therefore, analysis of stress concentration caused by the punch driven by SH-wave propagation is crucial in seismological studies. Owing to it, this paper presents an analytical framework to investigate the influence of punch velocity, driven by SH-wave propagation, on the dynamic stress concentration (DSC) in prestressed transversely isotropic double poroelastic (TIDP) rock media. A closed-form expression for DSC under constant force intensity is derived using the Wiener–Hopf technique, alongside Galilean and two-sided Fourier integral transformations. The analysis reveals the profound impact of various factors including punch velocity, porosity, anisotropy, initial horizontal and vertical compressive/tensile stresses, and frequency parameter, on DSC. Numerical computations and graphical illustrations for TIDP rock media highlight the significant effects of these parameters. Results indicate that increasing punch velocity amplifies DSC in double poroelastic media. A comparative analysis of the influence of porosity on DSC across three poroelastic rock media — transversely isotropic double poroelastic (TIDP), transversely isotropic single poroelastic (TISP), and isotropic double poroelastic (IDP) — is graphically presented. The outcomes of present study highlights distinct characteristics of DSC in each medium, providing valuable insights into stress concentration behavior under dynamic seismic conditions. Moreover, key characteristics and unique insights into the derived DSC expression are also discussed.

Keywords
dynamic stress concentration (DSC), double porous, punch, Wiener–Hopf technique, two-sided Fourier transformation
Milestones
Received: 13 November 2024
Revised: 4 February 2025
Accepted: 23 April 2025
Published: 27 June 2025
Authors
Aparajita Mishra
Department of Mathematics
School of Advanced Sciences
VIT-AP University
Andhra Pradesh 522241
India
Anil Negi
Department of Mathematics
School of Advanced Sciences
VIT-AP University
Andhra Pradesh 522241
India