ON THE FORMULATION OF RHEOLOGICAL EQUATIONS OF STATE
ON THE FORMULATION OF RHEOLOGICAL EQUATIONS OF STATE
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DOI：
10.1098/rspa.1950.0035
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发表时间：
1950-01-01
影响因子：
--
通讯作者：
OLDROYD, JG
中科院分区：
文献类型：
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作者：
OLDROYD, JG
讨论了均匀连续体流变状态方程的不变形式，适用于所有的运动和应力条件。如果参照系是与物质联系在一起的坐标系，正确的不变性是最容易识别的，但为了同时求解状态方程和连续性方程和运动方程，有必要变换到固定的参照系。给出了由简单实验或结构理论得到的非不变方程为基础，建立适用于普遍应用的状态方程的过程。各向异性材料，以及其性能取决于以前的流变历史的材料，都在本文的范围之内。
The invariant forms of rheological equations of state for a homogeneous continuum, suitable for application to all conditions of motion and stress, are discussed. The right invariance properties can most readily be recognized if the frame of reference is a co-ordinate system convected with the material, but it is necessary to transform to a fixed frame of reference in order to solve the equations of state simultaneously with the equations of continuity and of motion. An illustration is given of the process of formulating equations of state suitable for universal application, based on non-invariant equations obtained from a simple experiment or structural theory. Anisotropic materials, and materials whose properties depend on previous rheological history, are included within the scope of the paper.