Generalization of the variable separation method for solving boundary value problems of linear viscoelasticity of kinds I and III; Acta Mechanica; Vol. 235, iss. 6
| Parent link: | Acta Mechanica.— .— New York: Springer Science+Business Media LLC. Vol. 235, iss. 6.— 2024.— P. 3573-3589 |
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| Hlavní autor: | |
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| Další autoři: | , |
| Shrnutí: | Title screen At present, structural analysis of polymer composite materials is a highly relevant issue. The complexity of taking into account the viscoelastic stress–strain dependence and the time-dependent distribution of stress–strain state parameters over the volume occupied by a solid is a limiting factor. The relevance and demand for new efficient methods of mathematical modeling of creep and relaxation processes in viscoelastic structures are obvious. The aim of this work is to verify and validate the method for solving boundary value problems of a linear viscoelastic solid. The proposed approach is based on the formulation of the generalized principle of correspondence between elastic and viscoelastic problems, according to which a viscoelastic solution can be obtained by replacing elastic constants by some time functions, which are hereinafter called time-effective moduli. The results derived from the theoretical validation and the solution of several problems suggest that the proposed method can be used for solving problems on the stress–strain state of viscoelastic structures. Текстовый файл AM_Agreement |
| Jazyk: | angličtina |
| Vydáno: |
2024
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| Témata: | |
| On-line přístup: | https://doi.org/10.1007/s00707-024-03895-1 |
| Médium: | Elektronický zdroj Kapitola |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=673437 |
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| 200 | 1 | |a Generalization of the variable separation method for solving boundary value problems of linear viscoelasticity of kinds I and III |f A. A. Svetashkov, N. A. Kupriyanov, M. S. Pavlov | |
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| 300 | |a Title screen | ||
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| 330 | |a At present, structural analysis of polymer composite materials is a highly relevant issue. The complexity of taking into account the viscoelastic stress–strain dependence and the time-dependent distribution of stress–strain state parameters over the volume occupied by a solid is a limiting factor. The relevance and demand for new efficient methods of mathematical modeling of creep and relaxation processes in viscoelastic structures are obvious. The aim of this work is to verify and validate the method for solving boundary value problems of a linear viscoelastic solid. The proposed approach is based on the formulation of the generalized principle of correspondence between elastic and viscoelastic problems, according to which a viscoelastic solution can be obtained by replacing elastic constants by some time functions, which are hereinafter called time-effective moduli. The results derived from the theoretical validation and the solution of several problems suggest that the proposed method can be used for solving problems on the stress–strain state of viscoelastic structures. | ||
| 336 | |a Текстовый файл | ||
| 371 | 0 | |a AM_Agreement | |
| 461 | 1 | |t Acta Mechanica |c New York |n Springer Science+Business Media LLC. | |
| 463 | 1 | |t Vol. 235, iss. 6 |v P. 3573-3589 |d 2024 | |
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 1 | |a Svetashkov |b A. A. |c physicist |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1943- |g Aleksandr Andreevich |9 19377 | |
| 701 | 1 | |a Kupriyanov |b N. A. |c specialist in the field of materials science |c Associate Professor of Tomsk Polytechnic University, candidate of technical sciences |f 1951- |g Nikolay Amvrosievich |9 19376 | |
| 701 | 1 | |a Pavlov |b M. S. |c physicist |c Senior Lecturer at Tomsk Polytechnic University |f 1984- |g Mikhail Sergeevich |9 20356 | |
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