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Exact simulation for direction-dependent large elastic strain responses of soft fibre-reinforced composites

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Abstract

An explicit form of the elastic strain-energy function for direction-dependent large elastic strain behaviors of soft fiber-reinforced composites is first presented based upon a decoupled approach for simulating complex nonlinear coupling effects. From this form, the exact closed-form solutions are then obtained for the uniaxial tension responses in the fiber and cross-fiber directions. With such exact solutions, the issue of simultaneously simulating strongly coupling nonlinear responses in the fiber and cross-fiber directions may be reduced to the issue of separately treating each decoupled uniaxial stress-strain response, thus bypassing usual complexities and uncertainties involved in identifying a large number of strongly coupled adjustable parameters. The numerical examples given are in good agreement with the experimental data for large strain responses.

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Authors and Affiliations

  1. School of Mechanics and Construction Engineering, MOE Key Lab of Disaster Forecast and Control in Engineering, Jinan University, Guangzhou, 510632, China

    Huifeng Xi, Guicheng Zhao, Siyu Wang & Heng Xiao

  2. Institute of Mechanics, Ruhr-University Bochum, Bochum, D-44780, Germany

    O. Bruhns

Authors
  1. Huifeng Xi
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  2. Guicheng Zhao
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  3. O. Bruhns
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  4. Siyu Wang
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  5. Heng Xiao
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Correspondence to Siyu Wang or Heng Xiao.

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Conflict of interest Heng XIAO is an editorial board member for Applied Mathematics and Mechanics (English Edition) and was not involved in the editorial review or the decision to publish this article. The authors declare no conflict of interest.

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Citation: XI, H. F., ZHAO, G. C., BRUHNS, O., WANG, S. Y., and XIAO, H. Exact simulation for direction-dependent large elastic strain responses of soft fibre-reinforced composites. Applied Mathematics and Mechanics (English Edition), 44(9), 1497–1510 (2023) https://doi.org/10.1007/s10483-023-3032-6

Project supported by the National Natural Science Foundation of China (Nos. 12172151 and 12172149), the Research Project of Introducing High-level Foreign Experts from the Ministry of Sicence and Technology of China (No. G20221990122), and the Start-up Fund from Jinan University (Guangzhou) of China (No. 88019062)

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Xi, H., Zhao, G., Bruhns, O. et al. Exact simulation for direction-dependent large elastic strain responses of soft fibre-reinforced composites. Appl. Math. Mech.-Engl. Ed. 44, 1497–1510 (2023). https://doi.org/10.1007/s10483-023-3032-6

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  • DOI: https://doi.org/10.1007/s10483-023-3032-6

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