Volume 46 Issue 5
May  2025
Turn off MathJax
Article Contents
XU Weizheng, HUANG Yu, LI Tong, LI Yexun, FU Hua, WANG Yanping, ZHENG Xianxu. Study on the Influence of Deformation Mode Assumption on Plastic Deformation of Circular Plates Under Impact Loading[J]. Applied Mathematics and Mechanics, 2025, 46(5): 591-599. doi: 10.21656/1000-0887.450285
Citation: XU Weizheng, HUANG Yu, LI Tong, LI Yexun, FU Hua, WANG Yanping, ZHENG Xianxu. Study on the Influence of Deformation Mode Assumption on Plastic Deformation of Circular Plates Under Impact Loading[J]. Applied Mathematics and Mechanics, 2025, 46(5): 591-599. doi: 10.21656/1000-0887.450285

Study on the Influence of Deformation Mode Assumption on Plastic Deformation of Circular Plates Under Impact Loading

doi: 10.21656/1000-0887.450285
Funds:

The National Science Foundation of China(12402444)

  • Received Date: 2024-10-23
  • Rev Recd Date: 2025-01-12
  • Available Online: 2025-05-30
  • To find a reliable and universal plastic deformation mode of circular plates under impact loading, based on the energy method, a plastic deformation calculation model for circular plates under impact loading was established, with different deformation modes and material strain rate effects considered. Then the calculation model was compared with the experimental results to analyze the calculation deviation of plastic deformation of circular plates under different deformation modes. The results show that, different deformation mode assumptions give different spatial distributions of membrane tensile strain and different membrane tensile average strain rate effects, which changes the energy absorption characteristics of plastic deformations and finally affects the plastic deformation values of circular plates. The parabolic deformation mode has the advantages of small errors and wide application ranges for materials, and is suitable for the subsequent engineering evaluation.
  • loading
  • [2] JONES N. Recent studies on the dynamic plastic behavior of structures[J].Applied Mechanics Reviews,1989,42(4): 95-115.
    JONES N.Structural Impact[M]. UK: Cambridge University Press, 1989.
    [3]NURICK G N, MARTIN J B. Deformation of thin plates subjected to impulsive loading: a review part Ⅱ: experimental studies[J].International Journal of Impact Engineering,1989,8(2): 171-186.
    [4] NURICK G N, MARTIN J B. Deformation of thin plates subjected to impulsive loading: a review part Ⅰ: theoretical considerations[J].International Journal of Impact Engineering,1989,8(2): 159-170.
    [5]余同希, 陈发良. 用“膜力因子法” 分析简支刚塑性圆板的大挠度动力响应[J]. 力学学报, 1990,22(5): 555-565.(YU Tongxi, CHEN Faliang. Analysis of the large deflection dynamic response of simply-supported circular plates by the “membrane factor method”[J].Acta Mechanica Sinica,1990,22(5): 555-565. (in Chinese))
    [6]YUEN S C K, NURICK G N, LANGDON G S, et al. Deformation of thin plates subjected to impulsive load: part Ⅲ: an update 25 years on[J].International Journal of Impact Engineering,2017,107: 108-117.
    [7]CLOETE T J, NURICK G N. On the influence of radial displacements and bending strains on the large deflections of impulsively loaded circular plates[J].International Journal of Mechanical Sciences,2014,82: 140-148.
    [8]DUFFEY T A. The large deflection dynamic response of clamped circular plates subjected to explosive loading: Research Report SC-RR-67-532[R]. Sandia National Laboratories, 1967.
    [9]WEN H M, YU T X, REDDY T Y. A note on clamped circular plates under impulsive loading[J].Mechanics of Structures and Machines,1995,23(3): 331-342.
    [10]TEELING-SMITH R G, NURICK G N. The deformation and tearing of thin circular plates subjected to impulsive loads[J].International Journal of Impact Engineering,1991,11(1): 77-91.
    [11]GHARABABAEI H, DARVIZEH A. Experimental and analytical investigation of large deformation of thin circular plates subjected to localized and uniform impulsive loading[J].Mechanics Based Design of Structures and Machines,2010,38(2): 171-189.
    [12]NURICK G N. Large deformations of thin plates subjected to impulsive loading[D]. South Africa: University of Cape Town, 1987.
    [13]BODNER S R, SYMONDS P S. Experiments on viscoplastic response of circular plates to impulsive loading[J].Journal of the Mechanics and Physics of Solids,1979,27(2): 91-113.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (33) PDF downloads(4) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return