| 受热黏弹性圆柱体中空穴生成问题研究 |
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| 引用本文： | 陈亚娟,尚新春. 受热黏弹性圆柱体中空穴生成问题研究[J]. 焦作工学院学报, 2013, 0(6): 741-744 |
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| 作者姓名： | 陈亚娟 尚新春 |
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| 作者单位： | [1]河南理工大学土木工程学院,河南焦作454000 [2]北京科技大学应用力学系,北京100083 |
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| 基金项目： | 国家自然科学基金资助项目（10772024）. |
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| 摘 要： | 研究了黏弹性圆柱体在均匀温度场作用下的空穴生成问题.根据有限变形理论,建立了问题的非线性数学模型.通过对各参数进行无量纲变换,给出了空穴增长的分叉曲线以及环向和轴向应力分布曲线;并讨论了轴向伸长对临界温度以及各应力增长规律的影响.
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| 关 键 词： | 热黏弹性 非线性大变形 空穴生成 应力分布 |
Research on cavity formation problem of heated viscoelastic cylinder |
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| CHEN Ya-juan,SHANG Xin-chun. Research on cavity formation problem of heated viscoelastic cylinder[J]. Journal of Jiaozuo Institute of Technology(Natural Science), 2013, 0(6): 741-744 |
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| Authors: | CHEN Ya-juan SHANG Xin-chun |
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| Affiliation: | 1. School of Civil Engineering, Henan Polytechnic University, Jiaozuo 454000, Henan, China ; 2. Department of Applied Mechanics, University of Science and Technology Beijing , Beijing 100083, China) |
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| Abstract: | The cavity formation problem of a visco-elastic cylinder under the case of a uniform temperature field was studied. The nonlinear mathematical model of this problem was established by using the finite deformation theory. According to the dimensionless transformation of each parameter, the bifurcation curves of describing the increase of the cavity were obtained, and the circumferential distribution curves and axial stresses were de- veloped. The influence of the axial elongation on the critical temperature and stress were also discussed. |
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| Keywords: | thermo-viscoelastic nonlinear deformation cavity formation stress distribution |
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