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改进的非协调广义混合单元及性能分析

赵直钦 卿光辉

赵直钦, 卿光辉. 改进的非协调广义混合单元及性能分析[J]. 应用数学和力学, 2019, 40(5): 518-526. doi: 10.21656/1000-0887.390146
引用本文: 赵直钦, 卿光辉. 改进的非协调广义混合单元及性能分析[J]. 应用数学和力学, 2019, 40(5): 518-526. doi: 10.21656/1000-0887.390146
ZHAO Zhiqin, QING Guanghui. Improved Noncompatible Generalized Mixed Elements and Performance Analysis[J]. Applied Mathematics and Mechanics, 2019, 40(5): 518-526. doi: 10.21656/1000-0887.390146
Citation: ZHAO Zhiqin, QING Guanghui. Improved Noncompatible Generalized Mixed Elements and Performance Analysis[J]. Applied Mathematics and Mechanics, 2019, 40(5): 518-526. doi: 10.21656/1000-0887.390146

改进的非协调广义混合单元及性能分析

doi: 10.21656/1000-0887.390146
基金项目: 国家自然科学基金(11502286)
详细信息
    作者简介:

    赵直钦(1994—),男,硕士生(通讯作者. E-mail: zhiqin1994@163.com);卿光辉(1968—),男,教授,博士,硕士生导师(E-mail: qingluke@126.com).

  • 中图分类号: O342;O343

Improved Noncompatible Generalized Mixed Elements and Performance Analysis

Funds: The National Natural Science Foundation of China(11502286)
  • 摘要: 非协调广义混合单元最突出的特点是避免了传统混合单元中系数矩阵主对角线上存在零元素的问题,因此位移和应力结果的收敛是稳定的.以最小势能原理和HR变分原理为基础,联合增强假设应变理论建立了新的8结点非协调广义混合单元.一方面,该单元保持了已有非协调广义混合单元的全部优点;另一方面,该单元简化了积分计算.数值实例表明,改进的非协调广义混合单元的数值结果精度高,计算速度快并且对单元的几何扭曲敏感度低.
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  • 被引次数: 0
出版历程
  • 收稿日期:  2018-05-14
  • 修回日期:  2018-11-09
  • 刊出日期:  2019-05-01

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