Virtual dilatometer curves and effective Young’s modulus of a 3D multiphase structure calculated by the phase-field method
Virtual dilatometer curves and effective Young’s modulus of a 3D multiphase structure calculated by the phase-field method
复制标题
通过相场法计算的 3D 多相结构的虚拟膨胀计曲线和有效杨氏模量
DOI：
10.1016/j.commatsci.2008.07.007
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发表时间：
2009
影响因子：
3.3
通讯作者：
I. Steinbach
中科院分区：
文献类型：
--
作者：
M. Apel;S. Benke;I. Steinbach
多相场方法允许计算多组分和多相材料中的3D晶粒结构。由于关于单个晶粒的所有几何信息、它们的相性质和它们的晶体学取向是已知的，因此可以将这些结构直接应用于虚拟测试以计算例如有效杨氏模量。在多相场框架内，还可以直接计算晶粒内部的弹性应力和应变场，特别是相变应变引起的内应力。在这项工作中，我们扩展了我们以前的相场模型耦合到线弹性，通过添加外部应力作为额外的边界条件。利用该模型计算了弹性极限下奥氏体-铁素体相变三维晶粒组织的内应力和应变分布、相变引起的外部体积变化以及对外部载荷的响应。从这些计算中，我们得到一个虚拟的应变计曲线和有效的杨氏模量，这是有用的参数，例如，有限元计算在一个更大的规模。
The multiphase-field method allows for the calculation of 3D grain structures in multicomponent and multiphase materials. As all geometrical information about the individual grains, their phase properties and their crystallographic orientations are known one can apply these structures directly for virtual testing to calculate e.g. the effective Young’s modulus. The elastic stress and strain fields within the grain structure can be also calculated directly within the multiphase-field framework, especially the internal stresses caused by the transformation strain. In this work we expand our previous phase-field model coupled to linear elasticity by adding external stresses as additional boundary conditions. Using this model we calculate the internal stress and strain distribution, the external volume change caused by phase transformation and the response on external load for a 3D grain structure undergoing the austenite to ferrite transformation, all in the elastic limit. From these calculations we derive a virtual dilatometer curve and the effective Young’s modulus which are useful parameters for e.g. finite element calculations on a larger scale.