A model-reduction approach to the micromechanical analysis of polycrystalline materials
A model-reduction approach to the micromechanical analysis of polycrystalline materials
复制标题
多晶材料微观力学分析的模型简化方法
DOI：
10.1007/s00466-015-1248-9
复制
发表时间：
2016
影响因子：
4.1
通讯作者：
P. Suquet
中科院分区：
文献类型：
--
作者：
J. Michel;P. Suquet
本研究致力于将作者介绍的一种模型降阶技术--非均匀变换场分析(NTFA)推广到多晶。这种新的简化模型是分两步得到的。首先，像在NTFA中那样，内部变量的局部场在模式的简化的基础上进行分解。其次，用相切二阶(TSO)展开式代替相耗势。模型的简化演化方程可以完全用量来表示，这些量可以一次性预先计算。粗略地说，这些预先计算的量仅取决于模式和相关应力场的平均和每相涨落。通过与多晶冰的蠕变和多晶铜对循环拉伸-压缩试验的响应这两个具体应用的全场模拟比较，评估了新的NTFA-TSO模型的准确性。在这两个例子中，新的简化演化方程比全场计算快两个数量级。
The present study is devoted to the extension to polycrystals of a model-reduction technique introduced by the authors, called the nonuniform transformation field analysis (NTFA). This new reduced model is obtained in two steps. First the local fields of internal variables are decomposed on a reduced basis of modes as in the NTFA. Second the dissipation potential of the phases is replaced by its tangent second-order (TSO) expansion. The reduced evolution equations of the model can be entirely expressed in terms of quantities which can be pre-computed once for all. Roughly speaking, these pre-computed quantities depend only on the average and fluctuations per phase of the modes and of the associated stress fields. The accuracy of the new NTFA-TSO model is assessed by comparison with full-field simulations on two specific applications, creep of polycrystalline ice and response of polycrystalline copper to a cyclic tension-compression test. The new reduced evolution equations is faster than the full-field computations by two orders of magnitude in the two examples.
DOI：
10.1016/j.cma.2013.03.007
发表时间：
2013-06-15
影响因子：
7.2
作者：
Fritzen, Felix;Leuschner, Matthias
通讯作者：
Leuschner, Matthias