Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity
Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity
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DOI：
10.1016/j.ijsolstr.2010.11.021
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发表时间：
2011-03
影响因子：
3.6
通讯作者：
R. Bustamante;A. Dorfmann;R. Ogden
中科院分区：
文献类型：
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作者：
R. Bustamante;A. Dorfmann;R. Ogden
基于Dorfmann等人提出的理论框架，给出了有限几何非线性磁弹性力学边值问题的数值解.具体而言，使用原型各向同性磁弹性本构模型，我们考虑两个二维问题的矩形横截面和无限程度的第三方向块。在第一个问题中，通过施加远离块体且垂直于其较大面且无机械载荷的均匀磁场在块体中引起的变形被检查，而在第二个问题中，施加相同的磁场并结合由其较大面上的面内剪切应力产生的剪切变形。对于每一个问题，磁场在整个块体和周围空间的分布被图示，沿着与块体的相应变形。块体表面附近磁场的快速变化幅度（在空间上）被突出显示。
This paper provides examples of the numerical solution of boundary-value problems in nonlinear magnetoelasticity involving finite geometry based on the theoretical framework developed by Dorfmann and co-workers. Specifically, using a prototype constitutive model for isotropic magnetoelasticity, we consider two two-dimensional problems for a block with rectangular cross-section and of infinite extent in the third direction. In the first problem the deformation induced in the block by the application of a uniform magnetic field far from the block and normal to its larger faces without mechanical load is examined, while in the second problem the same magnetic field is applied in conjunction with a shearing deformation produced by in-plane shear stresses on its larger faces. For each problem the distribution of the magnetic field throughout the block and the surrounding space is illustrated graphically, along with the corresponding deformation of the block. The rapidly (in space) changing magnitude of the magnetic field in the neighbourhood of the faces of the block is highlighted.