Transient deformation of the half-space-membrane system
DOI: 10.34759/trd-2022-123-05
Аuthors
*, **,
*e-mail: mihe16@yandex.ru
**e-mail: greghome@mail.ru
Keywords:
transient contact problems, elastic half-space, membrane; transient load, singular integrals, superposition principle, transient function, integral transformationsReferences
-
Gorshkov A.G., Tarlakovskii D.V. Dinamicheskie kontaktnye zadachi s podvizhnymi granitsami (Dynamic contact problems with moving boundaries), Moscow, Nauka. Fizmatlit, 1995, 352 p.
-
Gorshkov A.G., Medvedskii A.L., Rabinskii L.N., Tarlakovskii D.V. Volny v sploshnykh sredakh (Waves in continuous media), Moscow, Fizmatlit, 2004, 472 p.
-
Amenzade Yu.A. Teoriya uprugosti (Theory of elasticity), Moscow, Vysshaya shkola, 1976, 272 p.
-
Sedov L.I. Mekhanika sploshnoi sredy (Continuum mechanics), Moscow, Nauka, 1973, vol. 1. - 492 p.; vol. 2 – 568 p.
-
Tikhonov A.N., Samarskii A.A. Uravneniya matematicheskoi fiziki (Equations of mathematical physics), Moscow, Nauka, 1977, 736 p.
-
Arsenin V.Ya. Metody matematicheskoi fiziki i spetsial'nye funktsii (Methods of mathematical physics and special functions), Moscow, Nauka, 1974, 432 p.
-
Vladimirov V.S. Uravneniya matematicheskoi fiziki (Equations of mathematical physics), Moscow, Nauka, 1981, 512 p.
-
Slepyan L.I., Yakovlev Yu.S. Integral'nye preobrazovaniya v nestatsionarnykh zadachakh mekhaniki (Integral transformations in non-stationary problems of mechanics.), Leningrad, Sudostroenie, 1980, 344 p.
-
Slepyan L.I. Nestatsionarnye uprugie volny (Non-stationary elastic waves), Leningrad, Sudostroenie, 1972, 351 p.
-
Mikhailova E.Yu., Tarlakovskii D.V., Fedotenkov G.V. Non-stationary contact of a spherical shell and an elastic half-space, Trudy MAI, 2014, no. 78. URL: http://trudymai.ru/eng/published.php?ID=53499
-
Robinson A.R., Thompson J.C. Transient disturbances in a half-space during the first stage of frictionless indentation of a smooth rigid die of arbitrary shape, Quarterly of Applied Mathematics, 1975, vol. 33, no. 3. pp. 215-223. DOI:10.1090/QAM/99664
-
Mikhailova E., Tarlakovskii D., Fedotenkov G. Impact of Transient Pressure on a Half-Space with Membrane Type Coating, Structural Integrity. Springer Nature Switzerland AG, 2020, vol.16, pp. 312-315. DOI: 10.1007/978-3-030-47883-4_56
-
Mikhailova E., Tarlakovskii D., Fedotenkov G. The Unsteady Contact Interaction Problem of an Absolutely Rigid Body and a Membrane, Proceedings of the Second International Conference on Theoretical, Applied and Experimental Mechanics, Structural Integrity, Springer Nature Switzerland AG, 2019, pp. 289-293. DOI:10.1007/978-3-030-21894-2_53
-
Ditkin V.A., Prudnikov A.P. Spravochnik po operatsionnomu vychisleniyu (Handbook of Operational Computing), Moscow, Vysshaya shkola, 1965, 487 p.
-
Bakhvalov N.S., Zhidkov N.P., Kobel'kov G.M. Chislennye metody (Numerical Methods), Moscow, Nauka, 1987, 600 p.
-
Delfim Soares. Dynamic analysis of elastoplastic models considering combined formulations of the time-domain boundary element method, Engineering Analysis With Boundary Elements, 2015, vol. 55, pp. 28-39. DOI:10.1016/j.enganabound.2014.11.014
-
Schanz M., Antes H. Application of ‘Operational Quadrature Methods’ in Time Domain Boundary Element Methods, Meccanica, 1997, vol. 32, pp. 179–186. DOI:10.1023/A:1004258205435
-
Schanz M., Ye W., Xiao J. Comparison of the convolution quadrature method and enhanced inverse FFT with application in elastodynamic boundary element method, Computational Mechanics, 2016, vol. 57, pp. 523–536. DOI:10.1007/s00466-015-1237-z
-
Abramovitsa M., Stigan I. Spravochnik po spetsial'nym funktsiyam s formulami, grafikami i matematicheskimi tablitsami (Handbook for special functions with formulas, graphs and mathematical tables), Moscow, Nauka, 1979, 830 p.
-
Gradshtein I.S., Ryzhik I.M. Tablitsy integralov, summ, ryadov i proizvedenii (Tables of integrals, sums, series and products.), Moscow, Nauka, 1971, 1108 p.
-
Tran L.T., Tarlakovsky D.V. Trudy MAI, 2018, no. 102. URL: http://trudymai.ru/eng/published.php?ID=99731
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