Isotropic Invariant(各向同性不变量)研究综述
Isotropic Invariant 各向同性不变量 - An approximation of isotropic invariants, bypassing the solution of a quartic equation or computation of tensor square roots, allows stretches, rotations, stresses, and balance laws to be written in terms of derivatives of position. [1] We also study the effect of introducing a further dependence of the energy on the anisotropic invariants related to the square of the Cauchy–Green strain tensor. [2] The approach helps us successfully in determining the fiber strains, for a family of symmetrically and asymmetrically oriented fibers, with the aid of a single anisotropic invariant. [3] The ground substance is the common so-called compressible neo-Hooke model and the standard reinforcement part is augmented by second order anisotropic invariants. [4]各向同性不变量的近似，绕过四次方程的解或张量平方根的计算，允许根据位置的导数来编写拉伸、旋转、应力和平衡定律。 [1] 我们还研究了引入能量对与柯西-格林应变张量平方相关的各向异性不变量的进一步依赖性的影响。 [2] 该方法帮助我们在单个各向异性不变量的帮助下成功地确定了对称和非对称取向纤维族的纤维应变。 [3] 基础物质是常见的所谓可压缩新胡克模型，标准加强部分由二阶各向异性不变量增强。 [4]
isotropic invariant map 各向同性不变映射
The turbulent states for each B R has been compared using an anisotropic invariant map in the horseshoe vortex regime, top surface regime and in the wake regime. [1] The anisotropic invariant maps show the near bed anisotropy inclining to be a two-component isotropy subjected to no seepage and seepage flow. [2] Anisotropic invariant map (AIM) has been plotted; nature of turbulence is found to be non-homogeneous and anisotropic even at low Re (= 3200) and non-homogeneity increases as Re increases. [3]每个 B R 的湍流状态已使用马蹄涡流状态、顶面状态和尾流状态中的各向异性不变图进行了比较。 [1] 各向异性不变量图显示近床各向异性倾向于为无渗流和渗流的双分量各向同性。 [2] 绘制了各向异性不变图（AIM）；即使在低 Re (= 3200) 下，湍流的性质也被发现是非均匀的和各向异性的，并且非均匀性随着 Re 的增加而增加。 [3]