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Existence of a Solution to Lamb’s Initial-Boundary Value Problem with a Limiting Value of Poisson’s Ratio

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Abstract

The paper considers a Lamb’s initial-boundary value problem for an elastic half-space in the case when Poisson’s ratio takes the limiting value of 1/2. The existence of a classical solution in the form of an iterated improper integral in the case of axial symmetry is proved.

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Correspondence to A. V. Kravtsov.

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Translated by E. Chernokozhin

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Kravtsov, A.V. Existence of a Solution to Lamb’s Initial-Boundary Value Problem with a Limiting Value of Poisson’s Ratio. Comput. Math. and Math. Phys. 63, 1848–1859 (2023). https://doi.org/10.1134/S0965542523100068

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  • DOI: https://doi.org/10.1134/S0965542523100068

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