一般流动条件下稳态流变测量的理论框架
A theoretical framework for steady-state rheometry in generic flow conditions
摘要：
我们介绍了不可压缩流体的应力张量的一般分解，其组件在张量的基础上适应当地的流动条件，其中包括拉伸流，简单的剪切流，和任何类型的混合流。这种基础仅由速度梯度的对称部分确定，并允许在任何局部流动条件下对非牛顿响应进行直接解释。在稳定的均匀流中，材料函数表示的适应基础上的应力分量的推广和完成的经典的一套粘度函数用于表征简单的剪切流的响应。这种一般分解的应力是有效的连贯地组织和解释流变数据从实验室测量和计算研究中的非粘度稳定流的实际应用非常重要。应力的分解在发展本构模型中也是有用的。
英文摘要：
We introduce a general decomposition of the stress tensor for incompressible fluids in terms of its components on a tensorial basis adapted to the local flow conditions, which include extensional flows, simple shear flows, and any type of mixed flows. Such a basis is determined solely by the symmetric part of the velocity gradient and allows for a straightforward interpretation of the non-Newtonian response in any local flow conditions. In steady homogeneous flows, the material functions that represent the components of the stress on the adapted basis generalize and complete the classical set of viscometric functions used to characterize the response in simple shear flows. Such a general decomposition of the stress is effective in coherently organizing and interpreting rheological data from laboratory measurements and computational studies in non-viscometric steady flows of great importance for practical applications. The decomposition of the stress in terms with clearly distinct roles is also useful in developing constitutive models.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
