On Hashin's hollow cylinder and sphere assemblages in anisotropic nonlinear elasticity
On Hashin's hollow cylinder and sphere assemblages in anisotropic nonlinear elasticity
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各向异性非线性弹性中的Hashin空心圆柱体和球体组合
DOI：
10.1007/s10659-021-09856-2
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发表时间：
2021
影响因子：
2
通讯作者：
Golgoon, Ashkan and
中科院分区：
文献类型：
--
作者：
Golgoon, Ashkan and
我们将哈辛的非线性各向同性空心柱体和球体组合推广到非线性各向异性固体。更具体地说，我们找到了具有径向材料优选方向的非线性横各向同性空心球组合的有效流体静力本构方程。我们还推导了具有轴向、径向和周向材料优选方向的不可压缩正交各向异性固体组成的有限长和无限长空心圆柱体组合的有效本构方程。在球和柱组合中，只要适当推广Hashin的相似壳的定义，球壳和柱壳都可以是径向非均匀的。
We generalize Hashin’s nonlinear isotropic hollow cylinder and sphere assemblages to nonlinear anisotropic solids. More specifically, we find the effective hydrostatic constitutive equation of nonlinear transversely isotropic hollow sphere assemblages with radial material preferred directions. We also derive the effective constitutive equations of finite and infinitely-long hollow cylinder assemblages made of incompressible orthotropic solids with axial, radial, and circumferential material preferred directions. In both sphere and cylinder assemblages the spherical and cylindrical shells can be radially inhomogeneous as long as Hashin’s definition ofsimilarshells is properly generalized.