Implicit constitutive relations for nonlinear magnetoelastic bodies
Implicit constitutive relations for nonlinear magnetoelastic bodies
复制标题
非线性磁致弹性体的隐式本构关系
DOI：
10.1098/rspa.2014.0959
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
K. Rajagopal
中科院分区：
文献类型：
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作者：
R. Bustamante;K. Rajagopal
表征弹性体响应的隐式本构关系极大地增强了弹性领域分析人员的可用库。这类模型最近被本文作者扩展到描述电弹性体。在本文中，我们扩展了隐式本构关系的发展，以描述弹性体响应磁刺激的行为。所开发的模型提供了一种合理的方法来描述迄今为止尚未被现有的经典模型充分描述的现象。在建立了大变形磁弹性体的隐式本构关系后，我们考虑了小位移梯度下模型的线性化。然后，我们使用线性化模型来描述经典线性化磁弹性模型无法做到的实验观测现象。我们还解决了几个边界值问题的背景下，已开发的模型：板的延伸和剪切，径向膨胀和圆柱体的延伸。
Implicit constitutive relations that characterize the response of elastic bodies have greatly enhanced the arsenal available at the disposal of the analyst working in the field of elasticity. This class of models were recently extended to describe electroelastic bodies by the present authors. In this paper, we extend the development of implicit constitutive relations to describe the behaviour of elastic bodies that respond to magnetic stimuli. The models that are developed provide a rational way to describe phenomena that have hitherto not been adequately described by the classical models that are in place. After developing implicit constitutive relations for magnetoelastic bodies undergoing large deformations, we consider the linearization of the models within the context of small displacement gradients. We then use the linearized model to describe experimentally observed phenomena which the classical linearized magnetoelastic models are incapable of doing. We also solve several boundary value problems within the context of the models that are developed: extension and shear of a slab, and radial inflation and extension of a cylinder.