硬磁软材料的三维无网格模型  

A 3D meshfree model of hard-magnetic soft materials

作　　者：刘俊廷 杨易凡 李茂源 徐凡 LIU JunTing;YANG YiFan;LI MaoYuan;XU Fan(Institute of Mechanics and Computational Engineering,Department of Aeronautics and Astronautics,Fudan University,Shanghai 200433,China)

机构地区：[1]复旦大学航空航天系,力学与工程仿真研究所,上海200433

出　　处：《中国科学：物理学、力学、天文学》2024年第6期59-69,共11页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金(编号:12122204,12372096,11872150);上海市“曙光计划”(编号:21SG05);上海市基础研究特区计划(编号:21TQ1400100-21TQ010);上海市青年科技启明星计划(编号:19QA1400500)资助项目。

摘　　要：硬磁软材料由填充了高剩磁颗粒的弹性体基质组成,具有灵活的可编程性和快速变形等优势,在软体机器人、生物医学设备和柔性电子领域具有广阔的应用前景.对硬磁软材料大变形的精确预测是相关应用的关键.由于硬磁柔性结构的可编程形貌变形预测及设计对精度要求较高,本文提出了一种基于径向基点插值法的三维无网格模型来定量预测硬磁软材料的大变形行为.通过采用直接节点积分并结合中心差分法进行求解,研究了硬磁软梁和硬磁悬臂板的弯曲变形,硬磁软杆的扭转变形,以及硬磁软梁在三维非均匀磁化情况下的空间大变形响应.我们的模型不仅可用于定量分析硬磁软材料大变形行为,也可用于指导铁磁软体机器人和柔性结构的理性设计.In recent years,magnetically activated soft materials have been widely used in designing and manufacturing soft robots and demonstrated great potential in guiding the functional design of bionic robots(such as reptile and jellyfish robots),grippers,valves,and pumps.These materials have several advantages,including superior remote control,quick response,and flexible programmability.Magnetoactive elastomers comprise micrometer-scale magnetizable particles embedded in a soft matrix and are soft active composites that respond to external magnetic stimuli.The magnetic particles embedded in soft polymers are generally classified into soft-magnetic and hard-magnetic particles.Furthermore,soft-magnetic particles have low coercivity but high permeability,and these characteristics can easily alter the magnetization under an external magnetic field.Thus,these particles are not suitable for deformation programming.Conversely,hard-magnetic particles have high coercivity and can hold residual magnetic flux density after magnetic saturation that does not change under an external magnetic field.Moreover,since the interaction of hard-magnetic particles with an external magnetic field generates microtorques,complex shapes can be formed by designing microtorque distributions.In this study,we focus on hard-magnetic soft materials,as the precise predictions of their large deformations are essential for relevant applications.The rational designs in the programmable shape morphing of ferromagnetic structures require high precision.Thus,in this study,we develop a three-dimensional meshfree model to quantitatively predict large deformations of hard-magnetic soft materials.The model is based on the radial point interpolation method,in which direct nodal integration is applied as the integration method,and the central difference scheme is implemented for the resolution procedure.We also explore bending deformations of a hard-magnetic beam and a hard-magnetic cantilever plate,twisting deformation of a hard-magnetic soft rod,and spatial defo

关 键 词：硬磁软材料 磁驱动器 无网格法 径向基点插值法 大变形 

分 类 号：TB34[一般工业技术—材料科学与工程]