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静脉壁的力学特性及负压失稳问题

任九生

任九生. 静脉壁的力学特性及负压失稳问题[J]. 应用数学和力学, 2011, 32(7): 860-865. doi: 10.3879/j.issn.1000-0887.2011.07.009
引用本文: 任九生. 静脉壁的力学特性及负压失稳问题[J]. 应用数学和力学, 2011, 32(7): 860-865. doi: 10.3879/j.issn.1000-0887.2011.07.009
REN Jiu-sheng. Mechanical Performance and Negative Pressure Instability for Venous Walls[J]. Applied Mathematics and Mechanics, 2011, 32(7): 860-865. doi: 10.3879/j.issn.1000-0887.2011.07.009
Citation: REN Jiu-sheng. Mechanical Performance and Negative Pressure Instability for Venous Walls[J]. Applied Mathematics and Mechanics, 2011, 32(7): 860-865. doi: 10.3879/j.issn.1000-0887.2011.07.009

静脉壁的力学特性及负压失稳问题

doi: 10.3879/j.issn.1000-0887.2011.07.009
基金项目: 国家自然科学基金资助项目(10772104;10872045);上海市教委科研创新项目(09YZ12);上海市重点学科建设资助项目(S30106)
详细信息
    作者简介:

    任九生(1970),男,副教授,博士(E-mai:ljsren@shu.edu.cn).

  • 中图分类号: O343

Mechanical Performance and Negative Pressure Instability for Venous Walls

  • 摘要: 应用一类超弹性应变能函数,通过非线性弹性理论,研究了静脉壁在跨壁压及轴向拉伸联合作用下的变形和应力分布等力学特性,并分析了静脉壁的负压失稳问题.首先利用超弹性材料薄壁圆筒模型,得到了静脉壁在跨壁压及轴向拉伸联合作用下的变形方程,给出了正常静脉压下静脉壁的变形曲线和应力分布曲线,讨论了静脉壁的变形和应力分布规律.然后给出了负跨壁压下静脉壁的变形曲线,并由能量比较讨论了静脉壁的负压失稳问题.
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出版历程
  • 收稿日期:  2010-12-24
  • 修回日期:  2011-04-17
  • 刊出日期:  2011-07-15

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