Hogea Cosmina S, Armstrong William D
Watson School of Engineering and Applied Science, Department of Mechanical Engineering, Binghamton University, New York 13902, USA.
J Acoust Soc Am. 2002 Nov;112(5 Pt 1):1928-36. doi: 10.1121/1.1508790.
The paper develops a one-dimensional magneto-elastic model of a magnetostrictive fiber actuated polymer matrix composite material which accounts for a strong viscoelastic response in the polymer matrix. The viscoelastic behavior of the composite polymer matrix is modeled with a three parallel Maxwell element viscoelastic model, the magnetoelastic behavior of the composite fibers is modeled with an anhysteric directional potential based domain occupation theory. Example calculations are performed to identify and explain the dynamical behavior of the composite. These calculations assume that a constant stress and the oscillating magnetic field are applied in the fiber longitudinal direction. The inclusion of matrix viscosity results in an apparent hysteresis loop in the magnetization and magnetostriction curves even though the model does not include magnetoelastic hysteresis in the fibers. The apparent hysteresis is a consequence of the interaction of the time varying fiber stress caused by matrix viscosity with a multidomain state in the fiber. The small increase in fiber longitudinal compressive stress due to matrix viscosity under increasing field inhibits the occupation of domains with magnetization orientations near the fiber longitudinal [112] direction. As a consequence, the summed longitudinal magnetization and magnetostriction is reduced as compared to the decreasing field limb.
本文建立了一种磁致伸缩纤维驱动的聚合物基复合材料的一维磁弹性模型，该模型考虑了聚合物基体中的强粘弹性响应。复合聚合物基体的粘弹性行为采用三平行麦克斯韦元件粘弹性模型进行建模，复合纤维的磁弹性行为采用基于非滞后方向势的畴占据理论进行建模。通过实例计算来识别和解释复合材料的动力学行为。这些计算假设在纤维纵向施加恒定应力和振荡磁场。即使模型中不包括纤维中的磁弹性滞后，基体粘度的存在也会导致磁化曲线和磁致伸缩曲线中出现明显的滞后回线。明显的滞后是由基体粘度引起的随时间变化的纤维应力与纤维中的多畴状态相互作用的结果。在磁场增加时，由于基体粘度导致的纤维纵向压缩应力的小幅增加，抑制了具有接近纤维纵向[112]方向磁化取向的畴的占据。因此，与磁场减小分支相比，纵向磁化和磁致伸缩的总和减小。
