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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-5pp.4017-4031

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Wei Zhao, Fan Lin, Zhidong Zhang, and Xu-Hao Huang, "Elastoplastic Impact Contact Analysis of a Semi-Infinite Plate Incorporating Nonlinear Wave Propagation," Mech. Solids. 60 (5), 4017-4031 (2025)
Year 2025 Volume 60 Number 5 Pages 4017-4031
DOI 10.1134/S0025654425602149
Title Elastoplastic Impact Contact Analysis of a Semi-Infinite Plate Incorporating Nonlinear Wave Propagation
Author(s) Wei Zhao (Faculty of Mechanical Engineering and Mechanics, Zhejiang Provincial Engineering Research Center for the Safety of Pressure Vessel and Pipeline, Key Laboratory of Impact and Safety Engineering, Ministry of Education, Ningbo University, Ningbo, 315211 China)
Fan Lin (Faculty of Mechanical Engineering and Mechanics, Zhejiang Provincial Engineering Research Center for the Safety of Pressure Vessel and Pipeline, Key Laboratory of Impact and Safety Engineering, Ministry of Education, Ningbo University, Ningbo, 315211 China)
Zhidong Zhang (Department of Civil and Environmental Engineering, University of Virginia, Charlottesville, VA, 22904 USA)
Xu-Hao Huang (Faculty of Mechanical Engineering and Mechanics, Zhejiang Provincial Engineering Research Center for the Safety of Pressure Vessel and Pipeline, Key Laboratory of Impact and Safety Engineering, Ministry of Education, Ningbo University, Ningbo, 315211 China, huangxuhao@nbu.edu.cn)
Abstract The impact contact of the plate by the rod exhibits different properties from the impact of the sphere. Upon impact, the excitation stress wave reflects back to the rod’s free end, while the bending wave propagates around the plate. Therefore, the wave propagation response in the rod significantly affects the whole impact response process. The mid-rod graded configuration can adjust the wave propagation response. Different graded rod types were designed and implemented. We constructed a variable coefficient wave equation to describe the wave propagation response in the rod. The Zener contact law was applied to model bending wave propagation in the plate for the contact boundary conditions. Subsequently, the Laplace transform was employed to solve the wave equation and give expressions such as the relationship between the displacement and the contact force. The effects of graded configuration and contact stiffness on wave propagation and impact contact response were investigated. Results show that the graded configuration can effectively adjust the wave propagation behavior of the rod and affect its rebound velocity, contact time, and energy conversion. These findings can be used to guide the design of heterogeneous impactors and to explore the mechanism of high-frequency oscillation of low-velocity impacts.
Keywords Elastoplastic impact contact, Wave equation with variable coefficients, Bending wave propagation, Nonlinear wave, Functional graded impactor, Semi-infinite plate
Received 29 April 2025Revised 18 July 2025Accepted 19 July 2025
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