Rheology of magnetorheological fluids: Models and measurements
Rheology of magnetorheological fluids: Models and measurements
复制标题
DOI：
10.1142/s0217979296001744
复制
发表时间：
1996-10-30
影响因子：
1.7
通讯作者：
Elie, LD
中科院分区：
文献类型：
--
作者：
Ginder, JM;Davis, LC;Elie, LD
描述了磁流变液现象的数值模型和分析模型，这些模型明确地考虑了磁非线性和饱和的影响。用有限元分析方法计算了可磁化粒子链中的电场分布。然后使用麦克斯韦应力张量得到剪切链条所需的场相关应力。确定了三个区域：在较低的外加磁场下，应力按二次曲线增加，正如线性静磁场所预期的那样。在中间场中，每个粒子的接触区或极区饱和，减小了应力随场的增大而增加的可能性。在高场下，颗粒完全饱和，应力达到极限值。文中还给出了这两种情况下屈服应力和剪切模数的近似解析表达式。这些模型的预测与文献中和我们实验室的磁流变学实验进行了比较。这些模型成功地预测了应力的大小及其与场的关系。他们还表明，由饱和磁化强度较高的材料组成的颗粒将显示出最大的磁流变效应。
Numerical and analytical models of magnetorheological fluid phenomena that account explicitly for the effects of magnetic nonlinearity and saturation are described. Finite-element analysis was used to calculate the field distribution in chains of magnetizable particles. The field-dependent stress required to shear the chains was then obtained using the Maxwell stress tenser. Three regimes are identified: at low applied fields, the stress increase quadratically, as expected from linear magnetostatics. In intermediate fields, the contact or polar regions of each particle saturate, reducing the rare of increase of the stress with increasing field. At high fields, the particles saturate completely, and the stress reaches its limiting value. Approximate analytical expressions for the yield stress and shear modulus in these regimes are also derived. The predictions of these models are compared to magnetorheological experiments in the literature and from our laboratory. These models predict successfully the magnitude of the stresses as well as their field dependence. They also suggest that particles comprised of materials with higher saturation magnetizations will exhibit the largest magnetorheological effects.