Effects of growth on the deformation and the stability of hyper-elastic spherical shells
-
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.
-
关键词:
- 稳定性
Abstract: A mechanical model for the large deformation analysisof an incompressible hyper-elastic spherical shell subjected to theinner pressure is established within the framework of the finite elasticitytheory of continuum mechanics. The effect of growth on the deformation andthe stability of the shell are examined with the elastic model forvolumetric growth based on multiplicative decomposition of the deformationgradient. The deformation curves and the distribution of stresses, theresidual strain and the distribution of residual stresses due to growth aregiven by numerical computation of the relation between the deformation andthe inner pressure. It is shown that the effect of growth on the deformationof the shell is obvious. The critical thickness and the critical pressurefor the shell to take an unstable deformation are affected by growth, andthe stability of the shell may be changed by growth in some cases. Residualdeformation and residual stresses can be developed in the shell by growth,and the distribution of stresses also affected by growth. Furthermore,unstable deformation may be rendered only by the residual stress induced bya sufficiently large growth even in the absence of the external loading.-
Key words:
- stability form
-
点击查看大图
计量
- 文章访问数: 1306
- HTML全文浏览量: 22
- PDF下载量: 757
- 被引次数: 0
下载:
