EXISTENCE RESULTS FOR INCOMPRESSIBLE MAGNETOELASTICITY
EXISTENCE RESULTS FOR INCOMPRESSIBLE MAGNETOELASTICITY
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DOI：
10.3934/dcds.2015.35.2615
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发表时间：
2015-06-01
影响因子：
1.1
通讯作者：
Zeman, Jan
中科院分区：
文献类型：
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作者：
Kruzik, Martin;Stefanelli, Ulisse;Zeman, Jan
本文研究磁弹性固体在不可压缩约束下的变分理论。系统的状态由形变和磁化描述。虽然前者与参考配置经典相关，但磁化被定义在变形配置中。我们讨论了能量极小的存在性，而不依赖于高阶变形梯度项。然后，通过引入适当的正1-齐次耗散，在能量可解性框架下建立了一个准静态演化模型并进行了分析。
We investigate a variational theory for magnetoelastic solids under the incompressibility constraint. The state of the system is described by deformation and magnetization. While the former is classically related to the reference configuration, magnetization is defined in the deformed configuration instead. We discuss the existence of energy minimizers without relying on higher-order deformation gradient terms. Then, by introducing a suitable positively 1-homogeneous dissipation, a quasistatic evolution model is proposed and analyzed within the frame of energetic solvability.