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Numerical Modeling of Love Waves in Dry Sandy Layer Under Initial Stress Using Different Order Finite Difference Methods

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Book cover Recent Trends in Wave Mechanics and Vibrations

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

This stated manuscript is concerned with the propagation of surface waves in a dry sandy layer under initial stress. The analysis is based on Biot’s theory. The dispersion equation of phase velocity of this proposed layer has been derived using convenient second-order finite difference scheme, staggered-grid finite difference scheme, and higher order finite difference scheme where, in each case, second-order central difference operator has been used for temporal derivatives, but second, fourth, and higher order finite difference scheme are used for spatial derivatives, respectively. A comparison study using these three methods has been done and presented in graphs. It has been shown that staggered-grid finite difference scheme is more accurate than second-order finite difference scheme and higher order finite difference scheme is more accurate than second-order finite difference scheme and staggered-grid finite difference scheme both.

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Authors and Affiliations

  1. Department of Engineering and Applied Sciences, Usha Martin University, Ranchi, Jharkhand, India

    Jayantika Pal

  2. Department of Mathematics, BIT, Mesra, Ranchi, Jharkhand, India

    Anjana P. Ghorai

Authors
  1. Jayantika Pal
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  2. Anjana P. Ghorai
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Corresponding author

Correspondence to Jayantika Pal .

Editor information

Editors and Affiliations

  1. Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India

    S. Chakraverty

  2. Vibration Research Group, Von karman society, Jalpaiguri, India

    Paritosh Biswas

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Pal, J., Ghorai, A.P. (2020). Numerical Modeling of Love Waves in Dry Sandy Layer Under Initial Stress Using Different Order Finite Difference Methods. In: Chakraverty, S., Biswas, P. (eds) Recent Trends in Wave Mechanics and Vibrations. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-0287-3_14

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  • DOI: https://doi.org/10.1007/978-981-15-0287-3_14

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-0286-6

  • Online ISBN: 978-981-15-0287-3

  • eBook Packages: EngineeringEngineering (R0)

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