A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate-invariant setting
A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate-invariant setting
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DOI：
10.1007/s00419-005-0412-7
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发表时间：
2005-11-01
影响因子：
2.8
通讯作者：
Romanowski, H
中科院分区：
文献类型：
--
作者：
Schröder, J;Romanowski, H
在这方面的贡献，我们提出了一个唯象介观介电一致性模型的描述开关过程中的铁电材料，能够描述的基本机电滞后效应。主要目标是在坐标不变的情况下，使用一组独立变量（应变和电场）开发一种表示法。这种提法是特别适合于处理各种复杂的边值问题（BVP）的本质边界条件。这里我们仅限于横观各向同性固体。各向异性的行为是由各向同性张量函数，取决于一组有限的不变量。因此，自动满足材料对称性要求。
In this contribution we present a phenomenological mesoscopic thermodynamically consistent model for the description of switching processes in ferroelectric materials that is able to describe the fundamental electromechanical hysteresis effects. The main goal is to develop a representation using the set of independent variables, the strains and the electric field, in a coordinate-invariant setting. This formulation is particularly suitable for the treatment of a variety of complex boundary-value problems (BVP) with regard to the essential boundary conditions. Here we restrict ourselves to transversely isotropic solids. The anisotropic behavior is governed by isotropic tensor functions that depend on a finite set of invariants. Thus the material symmetry requirements are automatically fulfilled.