Influence of a Nonstationary Surface Load on an Elastic Porous Half-Space

In this paper, we develop a method for solving planar nonstationary problems on the influence of surface pressure on an elastic-porous half-space. Using surface influence functions, we obtain an integral relation, which expresses the desired displacements with the surface pressure. A numericalanalyt...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 257; no. 1; pp. 105 - 113
Main Authors Peshcherikova, O. N., Fedotenkov, G. V.
Format Journal Article
LanguageEnglish
Published New York Springer US 04.08.2021
Springer
Springer Nature B.V
Subjects
Algorithms
Half spaces
Influence functions
Integrals
Mathematics
Mathematics and Statistics
Pressure
Quadratures
Regularization
Wave propagation
nonstationary problem
numerical-analytical algorithm
elastic porous medium
quadrature formula
singular integral
74B99
influence function
superposition principle
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ISSN1072-3374
1573-8795
1573-8795
DOI10.1007/s10958-021-05474-4

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Summary:In this paper, we develop a method for solving planar nonstationary problems on the influence of surface pressure on an elastic-porous half-space. Using surface influence functions, we obtain an integral relation, which expresses the desired displacements with the surface pressure. A numericalanalytical algorithm is constructed. For calculating singular integrals, we derive special quadrature formulas based on the canonical regularization of integrands.
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content type line 14
ISSN:1072-3374
1573-8795
1573-8795
DOI:10.1007/s10958-021-05474-4