The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity Научная публикация
| Журнал |
International Journal of Engineering Science
ISSN: 0020-7225 |
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| Вых. Данные | Год: 2020, Том: 151, Номер статьи : 103272, Страниц : DOI: 10.1016/j.ijengsci.2020.103272 | ||||||||||
| Ключевые слова | Axisymmetric body; Boussinesq problem; Closed form solution; Fourier–Bessel transform; Implicit material response; Linear viscoelasticity; Papkovich–Neuber representation; Potential theory; Punch indentation | ||||||||||
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Реферат:
The Boussinesq problem, namely the indentation of a flat-ended cylindrical punch into a viscoelastic half-space is studied. We assume a linear viscoelastic model wherein the linearized strain is expressed as a function of the stress. However, this expression is not invertible, which makes the problem very interesting. Based on the Papkovich–Neuber representation in potential theory and using the Fourier–Bessel transform for axisymmetric bodies, an analytical solution of the resulting time-dependent integral equation is constructed. Consequently, distribution of the displacement and the stress fields in the half space with respect to time is obtained in the closed form.
Библиографическая ссылка:
Itou H.
, Kovtunenko V.A.
, Rajagopal K.R.
The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity
International Journal of Engineering Science. 2020. V.151. 103272 . DOI: 10.1016/j.ijengsci.2020.103272 WOS Scopus РИНЦ OpenAlex
The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity
International Journal of Engineering Science. 2020. V.151. 103272 . DOI: 10.1016/j.ijengsci.2020.103272 WOS Scopus РИНЦ OpenAlex
Идентификаторы БД:
| Web of science: | WOS:000528000100002 |
| Scopus: | 2-s2.0-85082664900 |
| РИНЦ: | 43254905 |
| OpenAlex: | W3015495736 |