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功能梯度板的柱面弯曲弹性力学解

杨云芳 杨博 陈伟球 丁皓江

杨云芳, 杨博, 陈伟球, 丁皓江. 功能梯度板的柱面弯曲弹性力学解[J]. 应用数学和力学, 2015, 36(12): 1257-1264. doi: 10.3879/j.issn.1000-0887.2015.12.004
引用本文: 杨云芳, 杨博, 陈伟球, 丁皓江. 功能梯度板的柱面弯曲弹性力学解[J]. 应用数学和力学, 2015, 36(12): 1257-1264. doi: 10.3879/j.issn.1000-0887.2015.12.004
YANG Yun-fang, YANG Bo, CHEN Wei-qiu, DING Hao-jiang. Elasticity Solutions for Cylindrical Bending of Functionally Graded Plates[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1257-1264. doi: 10.3879/j.issn.1000-0887.2015.12.004
Citation: YANG Yun-fang, YANG Bo, CHEN Wei-qiu, DING Hao-jiang. Elasticity Solutions for Cylindrical Bending of Functionally Graded Plates[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1257-1264. doi: 10.3879/j.issn.1000-0887.2015.12.004

功能梯度板的柱面弯曲弹性力学解

doi: 10.3879/j.issn.1000-0887.2015.12.004
基金项目: 国家自然科学基金(11202188;11172263)
详细信息
    作者简介:

    杨云芳(1957—), 女, 浙江金华人, 教授, 硕士生导师(E-mail: yyfzist@163.com);杨博(1979—), 男, 宁夏灵武人, 副教授, 博士, 硕士生导师(通讯作者. Tel: +86-571-86843376; E-mail: bo.young@163.com);陈伟球(1969—), 男, 江苏吴江人, 教授, 博士, 博士生导师(E-mail: chenwq@zju.edu.cn);丁皓江(1934—2015), 男, 江苏常州人, 教授, 博士生导师(E-mail: dinghj@zju.edu.cn).

  • 中图分类号: O343.1

Elasticity Solutions for Cylindrical Bending of Functionally Graded Plates

Funds: The National Natural Science Foundation of China(11202188;11172263)
  • 摘要: 在推广后的England-Spencer功能梯度板理论基础上,研究了功能梯度板在不同荷载作用下的柱面弯曲问题.采用该理论中的位移展开公式,并且材料参数沿板厚方向可以任意连续变化,并将材料由各向同性推广到正交各向异性.假设板在y方向无限长,最终建立了一个从弹性力学理论出发的正交各向异性功能梯度板在横向分布荷载作用下柱面弯曲问题的板理论.通过算例分析,讨论了边界条件、材料梯度及板厚跨比等因素对功能梯度板静力响应的影响.
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    [10] 杨博, 丁皓江, 陈伟球. 功能梯度板柱面弯曲的弹性力学解[J]. 应用数学和力学, 2008,29(8): 905-910.(YANG Bo, DING Hao-jiang, CHEN Wei-qiu. Elasticity solutions for functionally graded plates in cylindrical bending[J].Applied Mathematics and Mechanics,2008,29(8): 905-910.(in Chinese))
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出版历程
  • 收稿日期:  2015-09-17
  • 修回日期:  2015-10-19
  • 刊出日期:  2015-12-15

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