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一维准晶功能梯度层合圆柱壳热电弹性精确解

李杨 秦庆华 张亮亮 高阳

李杨, 秦庆华, 张亮亮, 高阳. 一维准晶功能梯度层合圆柱壳热电弹性精确解[J]. 力学学报, 2020, 52(5): 1286-1294. doi: 10.6052/0459-1879-20-126
引用本文: 李杨, 秦庆华, 张亮亮, 高阳. 一维准晶功能梯度层合圆柱壳热电弹性精确解[J]. 力学学报, 2020, 52(5): 1286-1294. doi: 10.6052/0459-1879-20-126
Li Yang, Qin Qinghua, Zhang Liangliang, Gao Yang. EXACT THERMO-ELECTRO-ELASTIC SOLUTION OF FUNCTIONALLY GRADED MULTILAYERED ONE-DIMENSIONAL QUASICRYSTAL CYLINDRICAL SHELLS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(5): 1286-1294. doi: 10.6052/0459-1879-20-126
Citation: Li Yang, Qin Qinghua, Zhang Liangliang, Gao Yang. EXACT THERMO-ELECTRO-ELASTIC SOLUTION OF FUNCTIONALLY GRADED MULTILAYERED ONE-DIMENSIONAL QUASICRYSTAL CYLINDRICAL SHELLS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(5): 1286-1294. doi: 10.6052/0459-1879-20-126

一维准晶功能梯度层合圆柱壳热电弹性精确解

doi: 10.6052/0459-1879-20-126
基金项目: 1)国家自然科学基金(11972365);国家自然科学基金(51704015);辽宁省教育厅科学研究经费(L2019006)
详细信息
    通讯作者:

    高阳

  • 中图分类号: O343.6

EXACT THERMO-ELECTRO-ELASTIC SOLUTION OF FUNCTIONALLY GRADED MULTILAYERED ONE-DIMENSIONAL QUASICRYSTAL CYLINDRICAL SHELLS

  • 摘要: 两种或多种不同性质材料组成的层状结构可以满足工业发展的需求. 然而, 材料属性在接触面的突变问题, 容易导致层间界面处产生应力集中、裂纹以及分层等问题. 功能梯度材料利用连续变化的组分梯度来代替突变界面, 可以消除界面处的物理性能突变, 提高结构的粘结强度. 本文以一维准晶功能梯度层合圆柱壳为研究对象, 利用类Stroh公式和传递矩阵方法, 建立了材料参数沿径向呈现幂函数变化的层合圆柱壳模型, 获得了简支边界条件对应的一维准晶功能梯度层合圆柱壳的热电弹性精确解. 数值算例中讨论了层合圆柱壳内外表面承受温度载荷时, 功能梯度指数因子对温度场、电场、声子场和相位子场的影响, 尤其是对层合圆柱壳内外表面的影响. 结果表明, 指数因子改变了材料参数的空间分布情况, 进而对温度场、电场、声子场和相位子场都有影响; 增加功能梯度指数因子, 可减小温度载荷引起的内表面变形, 进而提升结构强度. 本文得到的结果可以为功能梯度准晶层合圆柱壳的设计和制造提供可靠的理论依据.

     

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出版历程
  • 收稿日期:  2020-04-18
  • 刊出日期:  2020-10-10

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