磁流体饱和多孔弹性介质的瞬态响应特性  

Transient response characteristic of magnetic fluid saturated poroelastic medium

作　　者：陈亮[1] 苏军[1] 赵社戌[1] 

机构地区：[1]上海交通大学船舶海洋与建筑工程学院工程力学系,上海200240

出　　处：《应用力学学报》2014年第3期305-310,483,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(50978162)

摘　　要：基于Biot流体饱和多孔介质理论及磁流体动力学理论,考虑了强导电性磁流体产生的磁压力对固体骨架的影响;将反映电磁力的Maxwell应力张量应用到Biot模型中,建立了磁流体饱和多孔介质的基本方程,并研究了内含圆柱形空腔的半无限磁流体饱和多孔介质处于均匀磁场中且其空腔表面受到均布瞬态荷载作用时的响应;利用积分变换,得到固体骨架应力场、位移场及磁流体压力场随时间变化的规律。数值计算结果表明:外加磁场分别为0、10A/m、100A/m时,各场变量随时间变化的规律和分布规律不变,但外加磁场的增大会使场变量的峰值及达到峰值的时间有所增加,且对其稳定值的影响甚微;在给定时刻,外加磁场强度越大,场变量沿径向达到恒定值的位置越靠近空腔表面;另外,磁压力对固体骨架的耦合作用效应较为显著。Based on Biot's theory and the magnetohydrodynamics, the fundamental equations for magnetic fluid saturated poroelastic medium are formulated. The coupled effects of magnetic pressure of conducting magnetic fluid on the solid skeleton are considered through Maxwell stress. By using the Integral transformation, transient response of a semi-infinite conducting magnetic fluid saturated poroelastic medium with a cylindrical cavity on which the axisymmetric excitation is applied are analyzed. The medium is placed into a uniform magnetic field. Numerical results indicate that the external magnetic field has no influence on shape of the variation or distribution curves of the field variables with time or with the radial coordinate, and on their steady values. At a given instant, the higher the magnetic field intensity is, the closer the locations at where the the field variables keep unchanged along the radial direction to the cavity is. The coupled effect of the magnetic pressure on the solid skeleton appears obviously.

关 键 词：磁流体 多孔介质 磁压力 瞬态响应 

分 类 号：O347[理学—固体力学]