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考虑纤维弯曲刚度的橡胶-帘线复合材料各向异性超弹性本构模型

孙书蕾 毛建良 彭雄奇

孙书蕾, 毛建良, 彭雄奇. 考虑纤维弯曲刚度的橡胶-帘线复合材料各向异性超弹性本构模型[J]. 应用数学和力学, 2014, 35(5): 471-477. doi: 10.3879/j.issn.1000-0887.2014.05.001
引用本文: 孙书蕾, 毛建良, 彭雄奇. 考虑纤维弯曲刚度的橡胶-帘线复合材料各向异性超弹性本构模型[J]. 应用数学和力学, 2014, 35(5): 471-477. doi: 10.3879/j.issn.1000-0887.2014.05.001
SUN Shu-lei, MAO Jian-liang, PENG Xiong-qi. An Anisotropic Hyperelastic Constitutive Model With Fibre Bending Stiffness for Cord-Rubber Composites[J]. Applied Mathematics and Mechanics, 2014, 35(5): 471-477. doi: 10.3879/j.issn.1000-0887.2014.05.001
Citation: SUN Shu-lei, MAO Jian-liang, PENG Xiong-qi. An Anisotropic Hyperelastic Constitutive Model With Fibre Bending Stiffness for Cord-Rubber Composites[J]. Applied Mathematics and Mechanics, 2014, 35(5): 471-477. doi: 10.3879/j.issn.1000-0887.2014.05.001

考虑纤维弯曲刚度的橡胶-帘线复合材料各向异性超弹性本构模型

doi: 10.3879/j.issn.1000-0887.2014.05.001
基金项目: 国家自然科学基金(11172171)
详细信息
    作者简介:

    孙书蕾(1980—),男,湖北荆门人,博士生(E-mail: bobsunstuy@gmail.com)

  • 中图分类号: O331;O34;TB332

An Anisotropic Hyperelastic Constitutive Model With Fibre Bending Stiffness for Cord-Rubber Composites

Funds: The National Natural Science Foundation of China(11172171)
  • 摘要: 针对纤维增强复合材料的有限变形,基于Spencer的连续介质力学不变量理论,提出了一种考虑纤维弯曲刚度的非线性超弹性本构模型.通过引入变形后纤维方向向量的梯度项,把单位体积的自由应变能分解为便于参数识别的体积变形、等容变形、各向异性变形和弯曲刚度4部分.理论和实验分析均表明传统的基于连续介质力学的纤维增强复合材料有限变形理论不适用于弯曲变形,必须考虑纤维弯曲刚度的影响.数值仿真结果也验证了在应变能函数中增加弯曲刚度项是必要的.
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出版历程
  • 收稿日期:  2013-12-16
  • 修回日期:  2014-04-04
  • 刊出日期:  2014-05-15

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