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Mathematics and Mechanics of Solids, 2015, Volume 20, Pages 1198–2014
DOI: https://doi.org/10.1177/1081286513517129
(Mi mms1)
 

This article is cited in 36 scientific papers (total in 36 papers)

Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow

Y. B. Fuab, A. T. Il'ichevc

a Department of Mechanics, Tianjin University, Tianjin, China
b Department of Mathematics, Keele University, Newcastle-under-Lyme, UK
c Steklov Mathematical Institute, Moscow, Russia
Citations (36)
Funding agency Grant number
Royal Society
Russian Foundation for Basic Research
National Natural Science Foundation of China 11372212
This work was supported by a Joint Project grant awarded by the Royal Society and Russian Foundation for Basic Science Research, and by the National Science Foundation of China (grant no. 11372212).
Received: 29.10.2013
Accepted: 24.11.2013
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/mms1
  • This publication is cited in the following 36 articles:
    1. Ran Wang, Xuegang Yuan, Bo Zhu, Yishuo Ai, Na Lv, “Homoclinic Chaos Suppression of Fiber-Reinforced Composite Hyperelastic Cylindrical Shells”, Acta Mech. Solida Sin., 2025  crossref
    2. Michel Destrade, Luis Dorfmann, Yang Liu, Yu-Xin Xie, “The impact of Yibin Fu's work: In recognition of his 60th birthday”, International Journal of Solids and Structures, 298 (2024), 112879  crossref
    3. Xiang Yu, Yibin Fu, “A one-dimensional model for axisymmetric deformations of an inflated hyperelastic tube of finite wall thickness”, Journal of the Mechanics and Physics of Solids, 175 (2023), 105276  crossref
    4. Yang Liu, Liu Yang, Yu-Xin Xie, “Inflation-induced bulge initiation and evolution in graded cylindrical tubes of arbitrary thickness”, Mechanics of Materials, 178 (2023), 104561  crossref
    5. Yibin Fu, Xiang Yu, “Axisymmetric necking of a circular electrodes-coated dielectric membrane”, Mechanics of Materials, 181 (2023), 104645  crossref
    6. A. T. Il'ichev, V. A. Shargatov, “Stability of an aneurysm in a membrane tube filled with an ideal fluid”, Theoret. and Math. Phys., 211:2 (2022), 642–652  mathnet  crossref  crossref  mathscinet  adsnasa
    7. Vasily Vedeneev, Lecture Notes in Mechanical Engineering, Advanced Problem in Mechanics II, 2022, 35  crossref
    8. A. T. Il'ichev, V. A. Shargatov, “Stability of the aneurysm-type solution in a membrane tube with localized wall thinning filled with a fluid with a non-constant velocity profile”, J. Fluids Struct., 114 (2022), 103712–12  mathnet  crossref
    9. Zhiming Guo, Shibin Wang, Yibin Fu, “Localized bulging of an inflated rubber tube with fixed ends”, Phil. Trans. R. Soc. A., 380:2234 (2022)  crossref
    10. Ali Althobaiti, “Effect of torsion on the initiation of localized bulging in a hyperelastic tube of arbitrary thickness”, Z. Angew. Math. Phys., 73:4 (2022)  crossref
    11. A. T. Il'ichev, “Stability of bound states in infinite domains”, Lekts. Kursy NOC, 32 (2022), 3–58  mathnet  mathnet  crossref
    12. W. Zhao, W. Zhang, J. Zhang, S. W. Yang, “Wave motion of pre-stressed compressible hyperelastic cylindrical shell under radial perturbation”, Waves in Random and Complex Media, 2021, 1  crossref
    13. Xiang Yu, Yibin Fu, Hui-Hui Dai, “On propagation of waves in pressurized fiber-reinforced hyperelastic tubes based on a reduced model”, Journal of Sound and Vibration, 515 (2021), 116476  crossref
    14. R Ivan Defaz, Marcelo Epstein, Salvatore Federico, “The domain of existence of solitary waves in fluid-filled thin elastic tubes”, Mathematics and Mechanics of Solids, 26:9 (2021), 1354  crossref
    15. A. T. Il'ichev, “Dynamics and spectral stability of soliton-like structures in fluid-filled membrane tubes”, Russian Math. Surveys, 75:5 (2020), 843–882  mathnet  mathnet  crossref  crossref  isi  scopus
    16. I. B. Bakholdin, “Equations describing waves in tubes with elastic walls and numerical methods with low scheme dissipation”, Comput. Math. Math. Phys., 60:7 (2020), 1185–1198  mathnet  mathnet  crossref  crossref  isi  scopus
    17. Ran Wang, Hu Ding, Xuegang Yuan, Na Lv, Li-Qun Chen, “Different types of solitary waves in a thermo-hyperelastic neo-Hookean cylindrical shell”, Composite Structures, 243 (2020), 112178  crossref
    18. A. T. Il'ichev, V. A. Shargatov, Y. B. Fu, “Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube”, Acta Mech., 231 (2020), 4095–4110  mathnet  crossref  isi  scopus
    19. Yang Ye, Yang Liu, Yibin Fu, “Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness”, Journal of the Mechanics and Physics of Solids, 135 (2020), 103804  crossref
    20. P. Mythravaruni, K. Y. Volokh, “Residual stresses reduce pulse wave velocity in arteries”, Mech Soft Mater, 2:1 (2020)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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