Nonlinear in-plane thermal buckling of rotationally restrained functionally graded carbon nanotube reinforced composite shallow arches under uniform radial loading

doi:10.1007/s10483-022-2917-7

Applied Mathematics and Mechanics (English Edition) ›› 2022, Vol. 43 ›› Issue (12): 1821-1840.doi: https://doi.org/10.1007/s10483-022-2917-7

Nonlinear in-plane thermal buckling of rotationally restrained functionally graded carbon nanotube reinforced composite shallow arches under uniform radial loading

Cheng LI^1,2, Chengxiu ZHU², C. W. LIM³, Shuang LI²

1. School of Automotive Engineering, Changzhou Institute of Technology, Changzhou 213032, Jiangsu Province, China;
2. School of Rail Transportation, Soochow University, Suzhou 215131, Jiangsu Province, China;
3. Department of Architecture and Civil Engineering, City University of Hong Kong, Tat Chee Ave, Kowloon, Hong Kong Special Administrative Region, China

收稿日期:2022-07-14 修回日期:2022-08-22 发布日期:2022-11-30
通讯作者: Shuang LI, E-mail: lishuang@suda.edu.cn
基金资助:
the National Natural Science Foundation of China (Nos. 11972240 and 51875374)

Nonlinear in-plane thermal buckling of rotationally restrained functionally graded carbon nanotube reinforced composite shallow arches under uniform radial loading

Cheng LI^1,2, Chengxiu ZHU², C. W. LIM³, Shuang LI²

1. School of Automotive Engineering, Changzhou Institute of Technology, Changzhou 213032, Jiangsu Province, China;
2. School of Rail Transportation, Soochow University, Suzhou 215131, Jiangsu Province, China;
3. Department of Architecture and Civil Engineering, City University of Hong Kong, Tat Chee Ave, Kowloon, Hong Kong Special Administrative Region, China

Received:2022-07-14 Revised:2022-08-22 Published:2022-11-30
Contact: Shuang LI, E-mail: lishuang@suda.edu.cn
Supported by:
the National Natural Science Foundation of China (Nos. 11972240 and 51875374)

摘要/Abstract

摘要： The nonlinear in-plane instability of functionally graded carbon nanotube reinforced composite (FG-CNTRC) shallow circular arches with rotational constraints subject to a uniform radial load in a thermal environment is investigated. Assuming arches with thickness-graded material properties, four different distribution patterns of carbon nanotubes (CNTs) are considered. The classical arch theory and Donnell’s shallow shell theory assumptions are used to evaluate the arch displacement field, and the analytical solutions of buckling equilibrium equations and buckling loads are obtained by using the principle of virtual work. The critical geometric parameters are introduced to determine the criteria for buckling mode switching. Parametric studies are carried out to demonstrate the effects of temperature variations, material parameters, geometric parameters, and elastic constraints on the stability of the arch. It is found that increasing the volume fraction of CNTs and distributing CNTs away from the neutral axis significantly enhance the bending stiffness of the arch. In addition, the pretension and initial displacement caused by the temperature field have significant effects on the buckling behavior.

关键词: functional gradient, carbon nanotube (CNT) reinforcement, buckling, in-plane instability, nonlinear

Abstract: The nonlinear in-plane instability of functionally graded carbon nanotube reinforced composite (FG-CNTRC) shallow circular arches with rotational constraints subject to a uniform radial load in a thermal environment is investigated. Assuming arches with thickness-graded material properties, four different distribution patterns of carbon nanotubes (CNTs) are considered. The classical arch theory and Donnell’s shallow shell theory assumptions are used to evaluate the arch displacement field, and the analytical solutions of buckling equilibrium equations and buckling loads are obtained by using the principle of virtual work. The critical geometric parameters are introduced to determine the criteria for buckling mode switching. Parametric studies are carried out to demonstrate the effects of temperature variations, material parameters, geometric parameters, and elastic constraints on the stability of the arch. It is found that increasing the volume fraction of CNTs and distributing CNTs away from the neutral axis significantly enhance the bending stiffness of the arch. In addition, the pretension and initial displacement caused by the temperature field have significant effects on the buckling behavior.

Key words: functional gradient, carbon nanotube (CNT) reinforcement, buckling, in-plane instability, nonlinear

中图分类号:

74K1

Cheng LI, Chengxiu ZHU, C. W. LIM, Shuang LI. Nonlinear in-plane thermal buckling of rotationally restrained functionally graded carbon nanotube reinforced composite shallow arches under uniform radial loading[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(12): 1821-1840.

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Nonlinear in-plane thermal buckling of rotationally restrained functionally graded carbon nanotube reinforced composite shallow arches under uniform radial loading

Nonlinear in-plane thermal buckling of rotationally restrained functionally graded carbon nanotube reinforced composite shallow arches under uniform radial loading

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