Radially and axially symmetric motions of a class of transversely isotropic compressible hyperelastic cylindrical tubes
作者: Ran WangWen-zheng ZhangZhen-tao ZhaoHong-wu ZhangXue-gang Yuan
作者单位: 1Dalian University of Technology
2Dalian Minzu University
刊名: Nonlinear Dynamics, 2017, Vol.90 (4), pp.2481-2494
来源数据库: Springer Journal
DOI: 10.1007/s11071-017-3814-5
关键词: Hyperelastic cylindrical tubeTransversely isotropic compressible neo-Hookean materialRadially and axially symmetric motionsBounded travelling wave solutions
英文摘要: In this paper, the radially and axially symmetric motions are examined for a hyperelastic cylindrical tube composed of a class of transversely isotropic compressible neo-Hookean materials about the radial direction. Firstly, a system of coupled nonlinear evolution equations describing the motions of the cylindrical tube is derived by Hamilton’s principle. Then the system is reduced to a system of nonlinear ordinary differential equations by the travelling wave transformations. According to the theory of planar dynamical systems, qualitative analyses on the solutions of the system are given in different parameter spaces. Specially, the influences of the material parameters on the qualitative and quantitative properties of the solutions are discussed. Two types of travelling wave solutions...
原始语种摘要: In this paper, the radially and axially symmetric motions are examined for a hyperelastic cylindrical tube composed of a class of transversely isotropic compressible neo-Hookean materials about the radial direction. Firstly, a system of coupled nonlinear evolution equations describing the motions of the cylindrical tube is derived by Hamilton’s principle. Then the system is reduced to a system of nonlinear ordinary differential equations by the travelling wave transformations. According to the theory of planar dynamical systems, qualitative analyses on the solutions of the system are given in different parameter spaces. Specially, the influences of the material parameters on the qualitative and quantitative properties of the solutions are discussed. Two types of travelling wave solutions...
全文获取路径: Springer  (合作)
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来源刊物:
影响因子:3.009 (2012)

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关键词翻译
关键词翻译
  • hyperelastic 超弹性的
  • compressible 可压缩性的
  • symmetric 对称的
  • transversely 横向地
  • isotropic 蛤同性的
  • cylindrical 圆柱形的
  • axially 轴向地
  • travelling 移动
  • material 充填料
  • solitary 单独