Accumulation of Stress and Strain due to an Infinite Strike-Slip Fault in an Elastic Layer Overlying a Viscoelastic Half Space of Standard Linear Solid (SLS)

Mondal, Debabrata; Kundu, Piu; Sarkar, Sandipan

doi:10.1007/s00024-020-02536-7

Cited by 5 publications

(7 citation statements)

References 25 publications

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“…These results and the proposed theoretical approaches provide increased protection of artificially created objects from seismically dangerous influences [With, 2007]. The related branches of science [Li, 2000;Smolyakov et al, 2010;Mondal et al, 2020] can be interested in the results as well.…”

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confidence: 79%

“…To take into account the structure of natural soils [Kundu et al, 2019;Kumar et al, 2020;Mondal et al, 2020], classical models of continuum mechanics are generalized in two major ways. One approach is based on the modification of medium's equations of state.…”

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confidence: 99%

“…In contrast to the problem on the single soil layer, the problem on the multilayered medium contains auxiliary conditions related to the conjugation of displacements and stresses at the boundaries between layers. In this work, we use the physically motivated conditions of smoothness of deformations and stresses [Kramer, 1996;Kundu et al, 2019;Mondal et al, 2020] ( ) ( )…”

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confidence: 99%

“…1, each layer is subjected to the own reference frame with the origin placed at the upper layer boundary and the axis directed downwards. The typical assumption [Sarma, 1994;Kramer, 1996;Kundu et al, 2019;Mondal et al, 2020] about the absence of stresses at the free ground surface is used:…”

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confidence: 99%

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Seismic response of a layered soil deposit with inclusions

Kendzera

Mykulyak

Semenova

et al. 2021

GZh

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It is known that soil massifs can amplify or weaken seismic waves generated by earthquakes. Therefore, the problem of studying the impact of soil deposits on the passage of seismic waves is important in terms of the facilities in operation and the design of new earthquake-resistant objects. Soil deposits, which are allotted for building, are mainly layered. In addition, the materials in these layers are also significantly heterogeneous. To describe the dynamics of inhomogeneous soil massif, the model of an elastic continuum with oscillating non-interacting inclusions is used. Within the framework of this model, the resonant properties of multi-layered soil deposit are analyzed at the conditions of harmonic perturbations applied to the bedrock. On the basis of the solution to the boundary value problem concerning oscillations of the system subjected to the free surface and conjugation conditions on the boundaries between layers, it is derived the transfer function which characterizes the amplification of shear displacements by the layered system. Within the framework of problems on the oscillations of two- and five layered systems, the analytical studies were confirmed by numerical evaluations of transfer functions. In particular, using the built-in functions of the system «Mathematica», it is developed the numerical procedure for evaluating the frequency dependencies of amplification factor for layered Kelvin—Voigt media and media with oscillating inclusions. Moreover, for the two-layered system, it is analyzed the effect on the transfer function for the ratio of layers’ shear moduli and the ratio of the inclusions’ natural frequencies. It is also shown that the maxima in the transfer function correspond to the eigenfrequencies of the boundary value problem.The obtained results and the proposed approach to the study of the response of the layered inhomogeneous medium to vibrational perturbations can serve as a theoretical basis for earthquake-resistant design and construction.

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confidence: 79%

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confidence: 99%

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confidence: 99%

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Seismic response of a layered soil deposit with inclusions

Kendzera

Mykulyak

Semenova

et al. 2021

GZh

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“…Debnath and Sen (2014 [16]) considered two interacting long faults in viscoelastic half space and computed analytical expressions for displacements, stresses and strains. The exact solutions and numerical computations for displacement, stresses and strains in viscoelastic half space/layered medium for different model has been obtained by Mondal and Sarkar (Mondal) (2019 [17]), Kundu et al (2021 [18]), Mondal and Kundu (2020 [19]), Kundu and Sarkar (2020 [20]). The study of accumulation/release of stress and strain for overlapping zone has also been studied by Kundu (2022) [21].…”

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confidence: 99%

Determination of effect of the movement of an infinite fault in viscoelastic half space of standard linear solid using fractional calculus

Mahato

Mondal²,

Sarkar³

2022

Phys. Scr.

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The subsurface deformation which is observed in seismic region during aseismic period has a great impact on displacement and stress-strain accumulation due to earthquake fault movement. In this paper we have considered a theoretical model of aseismically creeping, buried, inclined, infinite strike-slip fault located in viscoelastic half space of standard linear-solid medium. Our main objective is to find the analytical solutions of displacement, stresses, strains (a) in the absence of any fault movement and (b) after the commencement of fault movement with the help of Laplace transformation and Green’s function technique using fractional calculus taking Mittag-Leffler function and then to determine the numerical results of displacement, stresses and strains with different creep velocities for various inclinations of the fault using suitable model parametric values ([3], [7], [12], [26]). It is observed that the fault in our model exceeds the critical stress at about 117 years if it is a vertical fault while at about 141 years if the fault is inclined at an angle π/3 with the free surface. A comparative study has been done with the paper [24] and the numerical results are found to be in good agreement with it. This study may help in developing the earthquake prediction program.

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Ground deformation due to interaction between infinite and finite dip-slip fault in a viscoelastic half-space of standard linear solid (SLS)

Kundu

2022

Arab J Geosci

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Accumulation of Stress and Strain due to an Infinite Strike-Slip Fault in an Elastic Layer Overlying a Viscoelastic Half Space of Standard Linear Solid (SLS)

Cited by 5 publications

References 25 publications

Seismic response of a layered soil deposit with inclusions

Seismic response of a layered soil deposit with inclusions

Determination of effect of the movement of an infinite fault in viscoelastic half space of standard linear solid using fractional calculus

Ground deformation due to interaction between infinite and finite dip-slip fault in a viscoelastic half-space of standard linear solid (SLS)

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