Pattern formation in Ferroelastic Transitions
Pattern formation in Ferroelastic Transitions
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DOI：
10.1080/01411590410001672620
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发表时间：
2004-05
影响因子：
1.6
通讯作者：
R. Ahluwalia;T. Lookman;A. Saxena;S. R. Shenoy
中科院分区：
文献类型：
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作者：
R. Ahluwalia;T. Lookman;A. Saxena;S. R. Shenoy
我们用金兹堡-朗道方法研究了铁弹性材料中的图案形成。由于铁弹性跃迁是由应变驱动的，因此非线性弹性自由能表示为适当（即阶参数）应变变量的展开。然而，位移场是真正的自变量，而应变张量的分量是通过弹性相容关系相互关联的。这些约束表现为各向异性的远程相互作用，极大地影响了底层微观结构。微观结构的演变表明：(1)利用基于应变的方法，具有明确的远程相互作用，从六边形到正交态的转变；（ii）通过求解位移场的力平衡方程，实现立方到四方的转变。
We study pattern formation in ferroelastic materials using the Ginzburg–Landau approach. Since ferroelastic transitions are driven by strain, the nonlinear elastic free energy is expressed as an expansion in the appropriate (i.e., order parameter) strain variables. However, the displacement fields are the real independent variables, whereas the components of the strain tensor are related to each other through elastic compatibility relations. These constraints manifest as an anisotropic long-range interaction which drastically influences the underlying microstructure. The evolution of the microstructure is demonstrated for (i) a hexagonal-to-orthorhombic transition using a strain-based approach with explicit long-range interactions; and (ii) a cubic-to-tetragonal transition by solving the force-balance equations for the displacement fields.