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

doi:10.1007/s10483-023-3032-6

Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (9): 1497-1510.doi: https://doi.org/10.1007/s10483-023-3032-6

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

Huifeng XI¹, Guicheng ZHAO¹, O. BRUHNS², Siyu WANG¹, Heng XIAO¹

1. School of Mechanics and Construction Engineering, MOE Key Lab of Disaster Forecast and Control in Engineering, Jinan University, Guangzhou 510632, China;
2. Institute of Mechanics, Ruhr-University Bochum, Bochum D-44780, Germany

收稿日期:2023-04-15 修回日期:2023-08-01 发布日期:2023-08-28
通讯作者: Siyu WANG, E-mail: siyu0904@foxmail.com; Heng XIAO, E-mail: hxiao@jnu.edu.cn
基金资助:
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)

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

Huifeng XI¹, Guicheng ZHAO¹, O. BRUHNS², Siyu WANG¹, Heng XIAO¹

1. School of Mechanics and Construction Engineering, MOE Key Lab of Disaster Forecast and Control in Engineering, Jinan University, Guangzhou 510632, China;
2. Institute of Mechanics, Ruhr-University Bochum, Bochum D-44780, Germany

Received:2023-04-15 Revised:2023-08-01 Published:2023-08-28
Contact: Siyu WANG, E-mail: siyu0904@foxmail.com; Heng XIAO, E-mail: hxiao@jnu.edu.cn
Supported by:
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)

摘要/Abstract

摘要： 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.

关键词: soft solid, fiber-reinforced composite, large elastic strain, transverse isotropy, strain-energy function, logarithmic strain, decoupling approach

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.

Key words: soft solid, fiber-reinforced composite, large elastic strain, transverse isotropy, strain-energy function, logarithmic strain, decoupling approach

中图分类号:

74A99

Huifeng XI, Guicheng ZHAO, O. BRUHNS, Siyu WANG, Heng XIAO. Exact simulation for direction-dependent large elastic strain responses of soft fibre-reinforced composites[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(9): 1497-1510.

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

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

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