Title: Reduced micropolar half-space subjected to earthquake sources

Authors: Mohammad Atif; S.T.G. Raghukanth; S.R. Manam

Addresses: Department of Mathematics, Indian Institute of Technology Madras, Chennai, India ' Department of Civil Engineering, Indian Institute of Technology Madras, Chennai, India ' Department of Mathematics, Indian Institute of Technology Madras, Chennai, India

Abstract: The paper makes a novel attempt to present a mathematical model for a buried source in the homogeneous reduced micropolar half-space and to study the propagation of waves when half-space is subjected to an arbitrary harmonic load. Specific solutions are also discussed in the case when the force field is distributed uniformly in vertical directions over a circular region. The obtained solutions are numerically evaluated to compare displacements and rotations between classical elastic half-space (EHS) and reduced micropolar half-space (RMHS). As an application of the proposed model, the Wutai 2012 and Central Italy 2016 earthquakes are simulated, assuming the source as a point moment tensor. A finite-fault rupture simulation is also presented for the Pocito, Argentina earthquake of 6.4 M_w, which occurred on 19 January 2021. The application of the proposed model is also shown in the field of impact with a brief discussion of source function.

Keywords: reduced micropolar theory; half-space; dispersion curve; translations; rotations; moment tensor; Wutai earthquake; Central Italy earthquake; finite-fault; impact.

DOI: 10.1504/IJEIE.2024.138640

International Journal of Earthquake and Impact Engineering, 2024 Vol.4 No.2, pp.123 - 153

Received: 13 May 2022
Accepted: 26 Aug 2022
Published online: 22 May 2024 *

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