A generalized variational principle and theoretical model for magnetoelastic interaction of ferromagnetic bodies |
| |
Authors: | Zhou Youhe and Zheng Xiaojing |
| |
Institution: | (1) Department of Mechanics, Lanzhou University, 730000 Lanzhou, China |
| |
Abstract: | 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.
Project supported by the National Natural Science Foundation of China( Grant No. 19572031), the National Science Fundation
for Outstanding Young Scientiests in China, and a united foundation of the State Education Committee of China and National
Natural Science Foundation Committee. |
| |
Keywords: | magnetoelastic body energy functional generalized variational principle magnetoelasticity interaction 3-d theoretical model |
本文献已被 SpringerLink 等数据库收录! |
|