An efficient multiscale method for 2D large displacement - Small strain analysis of heterogeneous materials
An efficient multiscale method for 2D large displacement - Small strain analysis of heterogeneous materials
复制标题
二维大位移的有效多尺度方法 - 异质材料的小应变分析
DOI：
10.1016/j.commatsci.2013.11.055
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发表时间：
2014
影响因子：
3.3
通讯作者：
Zhang H.W.
中科院分区：
文献类型：
--
作者：
Liu H.;Zhang L.;Yang D.S.;Zhang H.W.
提出了一种用于非均质结构二维大位移小应变分析的多尺度计算方法。采用共旋转法得到粗单元在整体坐标系中的等效切线刚度矩阵。整个非均匀结构的等效切线刚度矩阵可以通过粗网格自然拼接而成。每个加载步骤的平衡迭代可以直接在宏观尺度上进行，从而节省了大量的计算资源。此外，还提出了一种新的局部位移修正技术来计算微观应力应变结果。通过两个数值算例验证了该多尺度方法的有效性和有效性。结果表明，与传统的有限元方法相比，该方法在保证计算精度的同时，大大节省了计算资源。
A multiscale computational method is developed for 2D large displacement – small strain analysis of heterogeneous structures. The co-rotational approach is employed to obtain the equivalent tangent stiffness matrix of the coarse element in the global coordinate system. The equivalent tangent stiffness matrix of the whole heterogeneous structure with the coarse-scale mesh can be assembled naturally. The equilibrium iterations for each load step can be performed directly on the macroscopic scale and thus a large number of computational resources will be saved. Moreover, a new local displacement correction technique is proposed to calculate the microscopic stress and strain results. Two numerical examples are carried out to verify the validity and efficiency of the proposed multiscale method. It can be found that the proposed method not only ensure the accuracy but also save the computational resources greatly by comparison with the traditional finite element method (FEM).