• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International journal of non-linear mechanics >Likely chirality of stochastic anisotropic hyperelastic tubes
【24h】

Likely chirality of stochastic anisotropic hyperelastic tubes

机译：可能是随机各向异性超弹性管的手性

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

When an elastic tube reinforced with helical fibres is inflated, its ends rotate. In large deformations, the amount and chirality of rotation is highly non-trivial, as it depends on the choice of strain-energy density and the arrangements of the fibres. For anisotropic hyperelastic tubes where the material parameters are single-valued constants, the problem has been satisfactorily addressed. However, in many systems, the material parameters are not precisely known, and it is therefore more appropriate to treat them as random variables. The problem is then to understand chirality in a probabilistic framework. Here, we develop a procedure for examining the elastic responses of a hyperelastic cylindrical tube of stochastic anisotropic material, where the material parameters are spatially-independent random variables defined by probability density functions. The tube is subjected to uniform dead loading consisting of internal pressure, axial tension and torque. Assuming that the tube wall is thin and that the resulting deformation is the combined inflation, extension and torsion from the reference circular cylindrical configuration to a deformed circular cylindrical state, we derive the probabilities of radial expansion or contraction, and of right-handed or left-handed torsion. We refer to these stochastic behaviours as 'likely inflation' and 'likely chirality', respectively.
机译：当用螺旋纤维加固的弹性管充气时，其端部旋转。在大变形中，旋转的量和手性是高度的，因为它取决于应变能量密度的选择和纤维的布置。对于材料参数是单值常数的各向异性超弹性管，问题已经令人满意地解决了。然而，在许多系统中，材料参数不确定，因此更合适地将它们视为随机变量。问题是在概率框架中了解手性。这里，我们开发一种用于检查随机各向异性材料的超级塑性圆柱管的弹性响应的过程，其中材料参数是由概率密度函数定义的空间无关的随机变量。将管经受均匀的死装载，包括内部压力，轴向张力和扭矩。假设管壁薄并且所得到的变形是从参考圆柱形构造到变形的圆柱状态的组合膨胀，延伸和扭转，我们导出径向膨胀或收缩的概率，以及右手或左侧的概率屁股扭转。我们将这些随机行为称为“可能的通货膨胀”和“可能的性感”。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号