各向同性磁流变弹性体磁相关非线性动态力学行为的本构模型  

Constitutive modeling of the magnetic-dependent nonlinear dynamic behavior of isotropic magnetorheological elastomers

作　　者：汪伯潮 李颜 逄浩明 徐振邦[2] 龚兴龙[1] Bochao Wang;Yan Li;Haoming Pang;Zhenbang Xu;Xinglong Gong(CAS Key Laboratory of Mechanical Behavior and Design of Materials,Department of Modern Mechanics,University of Science and Techno-logy of China,Hefei 230027,China;CAS Key Laboratory of On-orbit Manufacturing and Integration for Space,Optics System,Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China)

机构地区：[1]中国科学院材料力学行为与设计重点实验室,中国科学技术大学近代力学系,安徽合肥230027 [2]中国科学院空间光学系统在轨制造与集成重点实验室,中国科学院光学精密机械与物理研究所,吉林长春130033

出　　处：《中国科学技术大学学报》2024年第1期57-68,56,I0002,共14页JUSTC

基　　金：supported by the National Natural Science Foundation of China (12102424, 12202434, and 11972343);the Anhui Key R&D Program of China (202104a5020009);the Fundamental Research Funds for the Central Universities(WK2090000030);the Fellowship of China Postdoctoral Science Foundation (2022M713045)。

摘　　要：各向同性磁流变弹性体是一种将磁性颗粒随机掺入到聚合物基体中制备而成的智能材料。在磁场作用下,其模量发生快速、可逆、连续变化,在振动控制领域显示出良好的应用前景。实验结果表明,各向同性磁流变弹性体的动态力学行为具有很强的频率、应变幅值和磁场相关性。尽管上述行为对于其潜在应用具有重要的影响,但目前关于各向同性磁流变弹性体磁相关非线性动态力学行为的理论研究则关注不够。为准确评价各向同性磁流变弹性体的动态力磁耦合行为,并指导其相关产品的设计,本文建立了一个基于连续介质力学理论,反映各向同性磁流变弹性体磁相关非线性动态力学行为的本构模型。随后,开发了和本构模型对应的数值实现算法,并对模型的预测能力进行了验证。该模型有助于深入理解各向同性磁流变弹性体磁相关非线性动态力学行为的潜在力学机制。此外,该模型有助于指导基于各向同性磁流变弹性体产品的设计和应用。Isotropic magnetorheological elastomers(MREs)are smart materials fabricated by embedding magnetizable particles randomly into a polymer matrix.Under a magnetic field,its modulus changes rapidly,reversibly,and continuously,offering wide application potential in the vibration control area.Experimental observations show that there is a strong frequency,strain amplitude,and magnetic dependence of the dynamic behavior of isotropic MRE.Although important for potential applications,the magnetic-dependent nonlinear dynamic behavior of isotropic MRE has received little theoretical attention.To accurately evaluate the dynamic performance of isotropic MRE and to guide the design of isotropic MRE-based products,a new constitutive model based on continuum mechanics theory is developed to depict the magnetic-dependent nonlinear dynamic behavior of isotropic MRE.Subsequently,the numerical implementation algorithm is developed,and the prediction ability of the model is examined.The model provides a deeper understanding of the underlying mechanics of the magnetic-dependent nonlinear viscoelastic behavior of isotropic MRE.Furthermore,the model can be utilized to predict the magnetomechanical coupling behavior of isotropic MRE and therefore serves as a useful platform to promote the design and application of isotropic MRE-based devices.

关 键 词：各向同性磁流变弹性体 频率相关 应变幅值相关 磁相关 非线性粘弹 本构模型 

分 类 号：O345[理学—固体力学]