A novel solution of rectangular composite laminates under oblique low-velocity impacts

doi:10.1007/s10483-024-3199-6

Applied Mathematics and Mechanics (English Edition) ›› 2024, Vol. 45 ›› Issue (12): 2165-2182.doi: https://doi.org/10.1007/s10483-024-3199-6

收稿日期:2024-07-25 出版日期:2024-12-01 发布日期:2024-11-30

A novel solution of rectangular composite laminates under oblique low-velocity impacts

Yinxiao ZHANG¹^,², Zheng GONG²^,³, Ernian PAN⁴^,*(), Chao ZHANG¹^,²^,³^,*()

¹ School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China
² Joint International Research Laboratory of Impact Dynamics and Its Engineering Applications, Xi'an 710072, China
³ School of Civil Aviation, Northwestern Polytechnical University, Xi'an 710072, China
⁴ Department of Civil Engineering, College of Engineering, Disaster Prevention and Water Environment Research Center, Institute of Pioneer Semiconductor Innovation, Yang Ming Chiao Tung University, Hsinchu 30010, Taiwan, China

Received:2024-07-25 Online:2024-12-01 Published:2024-11-30
Contact: Ernian PAN, Chao ZHANG E-mail:ernianpan@nycu.edu.tw;chaozhang@nwpu.edu.cn
Supported by:
the National Natural Science Foundation of China(12172303);the National Natural Science Foundation of China(12111530222);the Shaanxi Key Research and Development Program for International Cooperation and Exchanges of China(2022KWZ-23);the Fundamental Research Funds for the Central Universities of China(5000220118);the Science and Technology Council of Taiwan of China(NSTC 111-2811-E-A49-534);Project supported by the National Natural Science Foundation of China (Nos. 12172303 and 12111530222), the Shaanxi Key Research and Development Program for International Cooperation and Exchanges of China (No. 2022KWZ-23), the Fundamental Research Funds for the Central Universities of China (No. 5000220118), and the Science and Technology Council of Taiwan of China (No. NSTC 111-2811-E-A49-534)

1. 20241207-Supp.pdf(97KB)

摘要/Abstract

Abstract:

An analytical solution for the responses of composite laminates under oblique low-velocity impacts is presented for a cross-ply, orthotropic, and rectangular plate under oblique low-velocity impacts. The plate is under simply-supported edge conditions, and the dynamic displacement field is expressed in a mixed form by in-plane double Fourier series and cubic polynomials through the thickness as 12 variables for each layer. A system of modified Lagrange equations is derived with all interface constraints. The Hertz and Cattaneo-Mindlin theories are used to solve for the normal and tangential contact forces during the impacts. By further discretizing in the time domain, the oblique impact problem is solved iteratively. While the numerical results clearly show the influence of impact velocity, stacking sequence, mechanical parameters, and geometric parameters, the proposed analytical approach could serve as a theoretical basis for the laminate analysis and design when it is under low-velocity impacts.

Key words: composite laminate, analytical model, oblique impact, three-dimensional (3D) displacement field, modified Lagrange equation

中图分类号:

74B05

. [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(12): 2165-2182.

Yinxiao ZHANG, Zheng GONG, Ernian PAN, Chao ZHANG. A novel solution of rectangular composite laminates under oblique low-velocity impacts[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(12): 2165-2182.

图/表 13

参考文献 51

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$E_{1}$/GPa	$E_{2}=E_{3}$/GPa	$G_{12}=G_{13}$/GPa	$G_{23}$/GPa	$\nu_{12}=\nu_{13}$	$\nu_{23}$	$\rho$/(kg$\cdot$m$^{-3}$)
120	7.9	5.5	5.5	0.3	0.3	1 536

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A novel solution of rectangular composite laminates under oblique low-velocity impacts

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