| 生长对超弹性球壳变形和稳定性的影响 |
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| 引用本文： | 任九生,袁学刚,程昌钧.生长对超弹性球壳变形和稳定性的影响[J].力学学报,2011,43(6):1110-1116. |
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| 作者姓名： | 任九生 袁学刚 程昌钧 |
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| 作者单位： | 1. 上海大学力学系, 上海市力学在能源工程中的应用重点实验室;2. 大连民族学院理学院; |
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| 基金项目： | 国家自然科学基金(10772014,10872045); 上海市教委科研创新项目(09YZ12); 上海市重点学科建设(S20106); 教育部优秀人才支持计划(NCET-09-096)资助项目~~ |
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| 摘 要： | 应用连续介质力学有限变形理论建立受内压作用不可压超弹性球壳大变形
问题的力学模型, 且运用基于变形梯度张量极分解的弹性体积生长理论分析生长对不可压
超弹性球壳变形和稳定性的影响. 通过对球壳变形与内压关系式的数值计算得到不同生长
条件下球壳的变形曲线和应力分布曲线及由生长引起的残余变形和残余应力分布. 计算结果
表明生长对球壳变形特性有明显的影响, 生长影响球壳可产生不稳定变形的临界壁厚和临界
内压, 且在某些情况下可改变球壳的稳定性. 生长在球壳中可产生一定的残余变形和残余应
力, 对球壳中的应力分布有一定的影响. 另外当生长的程度足够大时, 即便没有外力作用,
球壳仅在生长引起的残余应力作用下也可产生不稳定变形.
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| 关 键 词： | 超弹性球壳 生长 残余变形 残余应力 稳定性 |
| 收稿时间： | 2011-03-28 |
| 修稿时间： | 2011-06-22 |
EFFECTS OF GROWTH ON THE DEFORMATION AND THE STABILITY OF HYPER-ELASTIC SPHERICAL SHELLS |
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| Ren Jiusheng Yuan Xuegang Cheng Changjun.EFFECTS OF GROWTH ON THE DEFORMATION AND THE STABILITY OF HYPER-ELASTIC SPHERICAL SHELLS[J].chinese journal of theoretical and applied mechanics,2011,43(6):1110-1116. |
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| Authors: | Ren Jiusheng Yuan Xuegang Cheng Changjun |
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| Institution: | 1. Department of Mechanics, Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering, Shanghai University, Shanghai 200444, China;2. College of Science, Dalian Nationalities University, Dalian 116600, China; |
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| Abstract: | A mechanical model for the large deformation analysis of an incompressible hyper-elastic spherical shell subjected to the inner pressure is established within the framework of the finite elasticity theory of continuum mechanics.The effect of growth on the deformation and the stability of the shell are examined with the elastic model for volumetric growth based on multiplicative decomposition of the deformation gradient. The deformation curves and the distribution of stresses,the residual strain and the dist... |
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| Keywords: | hyper-elastic spherical shell growth residual deformation residual stresses stability form |
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