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arXiv 1606.09104cond-mat.soft
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磁性凝胶的动态弹性模量:简正模和线性响应

Dynamic Elastic Moduli in Magnetic Gels: Normal Modes and Linear Response

Giorgio Pessot, Hartmut Löwen, Andreas M. Menzel

摘要:

从开发具有定制功能的智能混合材料的角度来看,铁凝胶和磁流变弹性体允许弹性和磁性的协同作用。通过施加外部磁场,弹性和磁性之间的相互作用产生了对材料行为的独特可逆控制。尽管到目前为止,对时间相关特性的研究很少,但理解动态行为是模拟许多实际情况的关键,例如作为振动吸收器的应用。在这里,我们提出了一种方法来计算频率依赖的弹性模量的基础上的分解的线性响应的外部应力在正常模式。我们使用一个最小的三维偶极弹簧模型来描述介观水平上的磁和弹性相互作用。具体地,磁性颗粒携带永磁偶极矩,并且在它们通过弹性弹簧连接之前以规定的方式在空间上布置。外部磁场使磁矩对齐。一方面,我们研究了规则的格子状粒子排列,与文献中的结果进行了比较。另一方面,我们计算不规则的,更现实的颗粒分布的动态弹性模量。我们的方法测量的线性动态响应的可调性作为一个功能的粒子排列,相对于外部磁场的系统取向,以及粒子之间的磁相互作用的大小。本方法的优势在于,它明确地将系统的弛豫模式与流变特性以及样品中颗粒的内部重排联系起来,从而为这些非凡材料的动力学提供了新的见解。

英文摘要:

In the perspective of developing smart hybrid materials with customized features, ferrogels and magnetorheological elastomers allow a synergy of elasticity and magnetism. The interplay between elastic and magnetic properties gives rise to a unique reversible control of the material behavior by applying an external magnetic field. Albeit few works have been performed on the time-dependent properties so far, understanding the dynamic behavior is the key to model many practical situations, e.g. applications as vibration absorbers. Here we present a way to calculate the frequency-dependent elastic moduli based on the decomposition of the linear response to an external stress in normal modes. We use a minimal three-dimensional dipole-spring model to theoretically describe the magnetic and elastic interactions on the mesoscopic level. Specifically, the magnetic particles carry permanent magnetic dipole moments and are spatially arranged in a prescribed way, before they are linked by elastic springs. An external magnetic field aligns the magnetic moments. On the one hand, we study regular lattice-like particle arrangements to compare with previous results in the literature. On the other hand, we calculate the dynamic elastic moduli for irregular, more realistic particle distributions. Our approach measures the tunability of the linear dynamic response as a function of the particle arrangement, the system orientation with respect to the external magnetic field, as well as the magnitude of the magnetic interaction between the particles. The strength of the present approach is that it explicitly connects the relaxational modes of the system with the rheological properties as well as with the internal rearrangement of the particles in the sample, providing new insight into the dynamics of these remarkable materials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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