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Generation of SH-wave in a medium of welded two-quarter spaces with a uniform layer on one quarter space

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Abstract

This paper examines the generation of elastic SH-waves in a medium of two-quarter spaces in welded contact with a layer of uniform thickness overlying one of the quarter spaces. Impulsive surface tractions on the surface generate the waves. Transform methods are employed to obtain the functional integral equation in the general case. Approximations are made when a layer overlies a halfspace to obtain the solution. The displacement at the surface of the layer is obtained as a series of definite integrals representing the different pulses reflected at the interface between the layer and the halfspace.

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Acknowledgements

Special thanks to Mr. Vipin Kumar for his sectarial assistance and Prof Basudeb Mukhopadhyay, Mathematics Department, IIEST for his valuable suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Presidency College, Kolkata, West Bengal, 700073, India

    M. Mitra

  2. Department of Computer Science, IIEST Shibpur, Howrah, West Bengal, 711103, India

    N. C. Maiti

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  1. M. Mitra
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  2. N. C. Maiti
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Correspondence to N. C. Maiti.

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Prof M Mitra, Retired Professor: Dept. of Mathematics, Presidency College and Prof N. C. Maiti, Retired Professor: Dept of Computer Science, IIEST Shibpur.

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Mitra, M., Maiti, N.C. Generation of SH-wave in a medium of welded two-quarter spaces with a uniform layer on one quarter space. Int J Geomath 13, 14 (2022). https://doi.org/10.1007/s13137-022-00201-w

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  • DOI: https://doi.org/10.1007/s13137-022-00201-w

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