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A generalized variational principle and theoretical model for magnetoelastic interaction of ferromagnetic bodies

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Science China Mathematics 1999年第6期42卷 618-626页

作者：周又和郑晓静 Department of Mechanics Lanzhou University Lanzhou China

The quantitative analysis shows that no theoretical model for 3-d magnetoelastic bodies, in literatures to date, can commonly simulate two kinds of distinct experimental phenomena on magnetoelastic interaction of ferromagnetic structures. This makes it difficult to effectively discribe the magnetoelastic mechanical behavior of structures with complex geometry, such as shells. Therefore, it is a key step for simulating magnetoelastic mechanical characteristics of structures with complex geometry to establish a 3-d model which also can commonly characterize the two distinct experimental phenomena. A theoretical model for three dimension magnetizable elastic bodies, which is commonly suitable for the two kinds of experimental phenomena on magnetoelastic interaction of ferromagnetic plates, is presented by the variational principle for the total energy functional of the coupling system of the 3-d ferromagnetic bodies. It is found that for the case of linear isotropic magnetic materials, the magnetic forces obtained by this model include not only the body magnetic force which is the same as that got from the magnetic dipole model, but also a distribution of the magnetic traction on the surface of the magnetizable body. And the value of the traction is equal to the jumping one of the Faraday electromagnetic stress on the two sides of the surface, which does not appear in any model, such as magnetic dipole model and axiomatic model.

关键词： magnetoelastic body energy functional generalized variational principle magnetoelasticity interaction 3-d theoretical model.

Dispersion equation of magnetoelastic shear waves in irregular monoclinic layer

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Applied Mathematics and Mechanics(English Edition) 2011年第5期32卷 571-586页

作者： A.CHATTOPADHYAY S.GUPTA S.A.SAHU A.K.SINGH Department of Applied Mathematics Indian School of Mines

This paper studies the propagation of horizontally polarized shear waves in an internal magnetoelastic monoclinic stratum with irregularity in lower interface. The stratum is sandwiched between two magnetoelastic monoclinic semi-infinite media. Dispersion equation is obtained in a closed form. In the absence of magnetic field and irregularity of the medium, the dispersion equation agrees with the equation of classical case in three layered media. The effects of magnetic field and size of irregularity on the phase velocity are depicted by means of graphs.

关键词： shear wave magnetoelastic monoclinic irregularity dispersion equation perturbation

Effect of Point Source, Self-Reinforcement and Heterogeneity on the Propagation of magnetoelastic Shear Wave

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Applied Mathematics 2011年第3期2卷 271-282页

作者： Amares Chattopadhyay Shishir Gupta Abhishek K. Singh Sanjeev A. Sahu 不详

This paper investigates the propagation of horizontally polarised shear waves due to a point source in a magnetoelastic self-reinforced layer lying over a heterogeneous self-reinforced half-space. The heterogeneity is caused by consideration of quadratic variation in rigidity. The methodology employed combines an efficient derivation for Green’s functions based on algebraic transformations with the perturbation approach. Dispersion equation has been obtained in the closed form. The dispersion curves are compared for different values of magnetoelastic coupling parameters and inhomogeneity parameters. Also, the comparative study is being made through graphs to find the effect of reinforcement over the reinforced-free case on the phase velocity. It is observed that the dispersion equation is in assertion with the classical Love-type wave equation in the absence of reinforcement, magnetic field and heterogeneity. Moreover, some important peculiarities have been observed in graphs.

关键词： Shear Wave magnetoelastic Self-Reinforcement Dispersion Equation Seismic Wave

G-Type Seismic Wave in magnetoelastic Monoclinic Layer

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Applied Mathematics 2011年第2期2卷 145-154页

作者： Amares Chattopadhyay Shishir Gupta Abhishek K. Singh Sanjeev A. Sahu 不详

This paper deals with the study of propagation of G type waves along the plane surface at the interface of two different types of media. The upper medium is taken as monoclinic magnetoelastic layer whereas the lower half-space is inhomogeneous isotropic. Dispersion equation and condition for maximum energy flow near the surface are obtained in compact form. The dispersion equation is in assertion with the classical Love-type wave equation for the isotropic case. Effect of magnetic field and inhomogeneity on phase velocity and variation of group velocity with scaled wave number has been depicted by means of graphs. It is observed that inhomogenetity decreases phase velocity and the magnetic field has the favouring effect. A comparative study for the case of isotropic layer and monoclinic layer over the same isotropic inhomogeneous half space has been made through graphs.

关键词： G-Waves magnetoelastic Dispersion Equation Monoclinic Transform Technique

Remotely activated, vibrational magnetoelastic array system for controlling cell adhesion

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Journal of Biomedical Science and Engineering 2013年第4期6卷 478-482页

作者： Steven Trierweiler Hallie Holmes Brandon Pereles Rupak Rajachar Keat Ghee Ong Department of Biomedical Engineering Michigan Technological University Houghton USA

A new system was designed to selectively control cellular adhesion to medical implants. The system is based on magnetoelastic (ME) materials that can be remotely set to generate mechanical vibrations at submicron levels with predetermined amplitude and frequency. Previous studies have demonstrated the capacity of these vibrations to control cellular adhesion at a substrate surface. In this work, an ME film with two conjoined strips was developed to investigate the potential of this system to provide region specific control of cellular adhesion. In vitro cell culture experiments performed with L929 fibroblasts indicate that cellular adhesion can be increased or decreased at different regions of the film by changing the frequency of the magnetic field.

关键词： Cellular Adhesion Vibration magnetoelastic Materials

Structure and magnetic properties of nanocrystalline ferromagnets (Ⅱ)——magnetoelastic coupling effects

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Science China Mathematics 1997年第4期40卷 395-399页

作者：刘涛徐祖雄赵钟涛马如璋胡天斗谢亚宁郭应焕 Department of Materials Physics University of Science and Technology Beijing Beijing 100083 China Synchrotron Radiation Laboratory Institute of High Energy Physics Chinese Academy of Sciences Beijing 100039 China Institute of High Energy Physics Chinese Academy of Sciences Beijing 100080 China

The role of magnetoelastic coupling effects in nanocrystalline ferromagnets is investigated by means of high-field magnetization and Doppler-broadening spectrum measurements. For the nanocrystalline Fe73.5 Cu1Nb3-Si13 5B9 alloy, the results show that the pinning effects resulting from the quasidislocation dipole intensely influence the movement of domain wall; by coupling with the magnetostriction the defects-induced stress fields determine the magnetic properties at the early stage of crystallization. In view of the effective anisotropy and magnetoelastic coupling energy the optimal annealing conditions of alloys are discussed.

关键词： nanocrystalline ferromagnets magnetoelastic coupling effect soft magnetic properties.

Bending of a Saturated Ferromagnetoelastic Plate Under a Local Mechanical Load

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Acta Mechanica Solida Sinica 2023年第6期36卷 794-801页

作者： Jiashi Yang Xiaoshan Cao Wenhui Xu Department of Mechanical and Materials Engineering University of Nebraska-LincolnLincolnNE 68588-0526USA School of Civil Engineering Xi’an University of TechnologyXi’an 710048China

We study the bending of a magnetically saturated ferromagnetoelastic *** plate is rectangular and simply-supported along its *** is under a local distribution of normal mechanical load on its top surface,simulating a mechanical probe or manipulation of the magnetization *** three-dimensional equations of saturated ferromagnetoelasticity for small fields superposed on finite biasing fields due to spontaneous magnetization are *** plate is effectively piezomagnetic under the biasing fields.A trigonometric series solution is *** perturbation of the magnetization field by the mechanical load is calculated and *** is found that the magnetization is sensitive to the mechanical load,particularly near the loading *** perturbation of the magnetization is found to be associated with the transverse shear stresses in bending.

关键词： magnetoelastic Piezomagnetic Ferromagnetic Spin wave Phonon-magnon coupling

Experimental study of a technique for load measurement of powered supports

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Journal of University of Science and Technology Beijing 2004年第6期11卷 489-493页

作者： HuaZhu ShirongGe XiaolongHuang SumeiDai CollegeofMechatronicEngineeringandMaterialScience ChinaUniversityofMiningandTechnologyXuzhou221008China

Despite the increasing popularity of mechanized coal mining, there are no convenient and accurate means available to measure the loads of powered supports. The measurement of such loads is important for monitoring mine pressure and ensuring production safety. The load-carrying features of a powered support were used to develop a method for load measurement using the mag-netoelastic principle. A cross bridge-type magnetoelastic stress sensor was designed for the support structures to measure the different parts of the supports. Tests on single-body hydraulic cylinders and simulated linkages showed that an approximately linear relationship between the values of the sensor output signal and the loads borne by the hydraulic cylinders or linkages. The results were used to analyze the load-carrying measurements of powered supports with the cross bridge-type magnetoelastic stress sensor.

关键词： powered support load measurement stress magnetoelastic sensor

NONLINEAR PROBLEMS OF CURRENT-CARRYING ROUND PLATES WITH VARYING THICKNESS IN THE ELECTROMAGNETIC FIELD

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Applied Mathematics and Mechanics(English Edition) 1997年第4期18卷 355-364页

作者：常福清徐耀玲白象忠 The Northeast Institute of Heavy Machinery Qiqihar P.R. China

In this paper, the equations of motion and two-dimensional magnetoelastic equations of current-carrying round elastic plates with varying thickness in nonlinear deformation in the unsteady electromagnetic field and mechanical field are established, and the numeral solutions of round elastic plates in axisymmetrical deformation are given.

关键词： magnetoelastic round elastic plate nonlinear