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A VARIATIONAL PRINCIPLE ON MAGNETOELASTIC INTERACTION OF FERROMAGNETIC THIN PLATES

Zhou Youhe Zheng Xiaojing(Department of Mechanics,Lanzhou University,Gansu 730000,China)  
The key to revealing the behaviors of magnetoelastic interaction is how to express the magnetic forces applying on a ferronqagnetic elastic body.In this paper,a functional for a ferromag- netic thin plate in magnetic fields is proposed by taking the summation of the magnetic energy of the magnetic system and the strain energy of the elastic plates.We present a variational principle for the problem by choosing the variations of magnetic potential and deflection as independent variates each other.Based on the principle,not only are the simultancous governing equations for magnetic fields and deformation of structures deduced,but also a general expression of magnetic force acting on the plates is gained,which makes it possible to commonly simulate the distinct two experiments of magne- toelastic interaction in a theoretical model.Thus,it can be used to theoretical prediction of the magne- toelastic interaction of ferromagnetic plates in a complex environment of applied magnetic fields.
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