Nonlinear Deformation of a Clamped-Edge Strip-Like Nano-Film › Научные исследования в СПбГУ

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Nonlinear Deformation of a Clamped-Edge Strip-Like Nano-Film. / Bochkarev, Anatolii.

Advanced Structured Materials. Springer Nature, 2022. стр. 25-35 (Advanced Structured Materials; Том 175).

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Harvard

Bochkarev, A 2022, Nonlinear Deformation of a Clamped-Edge Strip-Like Nano-Film. в Advanced Structured Materials. Advanced Structured Materials, Том. 175, Springer Nature, стр. 25-35. https://doi.org/10.1007/978-3-031-04548-6_2

APA

Bochkarev, A. (2022). Nonlinear Deformation of a Clamped-Edge Strip-Like Nano-Film. в Advanced Structured Materials (стр. 25-35). (Advanced Structured Materials; Том 175). Springer Nature. https://doi.org/10.1007/978-3-031-04548-6_2

Vancouver

Bochkarev A. Nonlinear Deformation of a Clamped-Edge Strip-Like Nano-Film. в Advanced Structured Materials. Springer Nature. 2022. стр. 25-35. (Advanced Structured Materials). https://doi.org/10.1007/978-3-031-04548-6_2

Author

Bochkarev, Anatolii. / Nonlinear Deformation of a Clamped-Edge Strip-Like Nano-Film. Advanced Structured Materials. Springer Nature, 2022. стр. 25-35 (Advanced Structured Materials).

BibTeX

@inbook{d48522819f104f3e93f43ea896d08bea,

title = "Nonlinear Deformation of a Clamped-Edge Strip-Like Nano-Film",

abstract = "Nonlinear deformations of a clamped-edge nano-film are considered on the basis of an extension of von K{\'a}rm{\'a}n{\textquoteright}s theory of elastic plate, taken into account the Gurtin–Murdoch surface elasticity and Kirchhoff{\textquoteright}s hypothesis. Unlike most of the previous related theories, surface tension, usually omitted in the conjugation condition of Young–Laplace law in the transverse direction, is incorporated in the two-dimensional motion and constitutive relations for membrane forces together with quadratic terms equal to the von K{\'a}rm{\'a}n-type strains. The influence of the linear and nonlinear terms of surface tension is illustrated in the cases of nonlinear bending, post-critical compressive buckling, and free transverse vibration of a striplike nano-film with clamped edges.",

keywords = "Surface elasticity, Surface tension, Young–Laplace law",

author = "Anatolii Bochkarev",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.",

year = "2022",

month = may,

doi = "10.1007/978-3-031-04548-6_2",

language = "English",

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publisher = "Springer Nature",

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RIS

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T1 - Nonlinear Deformation of a Clamped-Edge Strip-Like Nano-Film

AU - Bochkarev, Anatolii

PY - 2022/5

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N2 - Nonlinear deformations of a clamped-edge nano-film are considered on the basis of an extension of von Kármán’s theory of elastic plate, taken into account the Gurtin–Murdoch surface elasticity and Kirchhoff’s hypothesis. Unlike most of the previous related theories, surface tension, usually omitted in the conjugation condition of Young–Laplace law in the transverse direction, is incorporated in the two-dimensional motion and constitutive relations for membrane forces together with quadratic terms equal to the von Kármán-type strains. The influence of the linear and nonlinear terms of surface tension is illustrated in the cases of nonlinear bending, post-critical compressive buckling, and free transverse vibration of a striplike nano-film with clamped edges.

AB - Nonlinear deformations of a clamped-edge nano-film are considered on the basis of an extension of von Kármán’s theory of elastic plate, taken into account the Gurtin–Murdoch surface elasticity and Kirchhoff’s hypothesis. Unlike most of the previous related theories, surface tension, usually omitted in the conjugation condition of Young–Laplace law in the transverse direction, is incorporated in the two-dimensional motion and constitutive relations for membrane forces together with quadratic terms equal to the von Kármán-type strains. The influence of the linear and nonlinear terms of surface tension is illustrated in the cases of nonlinear bending, post-critical compressive buckling, and free transverse vibration of a striplike nano-film with clamped edges.

KW - Surface elasticity

KW - Surface tension

KW - Young–Laplace law

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U2 - 10.1007/978-3-031-04548-6_2

DO - 10.1007/978-3-031-04548-6_2

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T3 - Advanced Structured Materials

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EP - 35

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PB - Springer Nature

ER -

ID: 95193130