Applied Mathematics and Mechanics >
A novel solution of rectangular composite laminates under oblique low-velocity impacts
Received date: 2024-07-25
Online published: 2024-11-30
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)
Copyright
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.
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, 2024 , 45(12) : 2165 -2182 . DOI: 10.1007/s10483-024-3199-6
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