An SBFEM Approach for Rate-Dependent Inelasticity with Application to Image-Based Analysis
An SBFEM Approach for Rate-Dependent Inelasticity with Application to Image-Based Analysis
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DOI：
10.1016/j.ijmecsci.2020.105778
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发表时间：
2020-09
影响因子：
7.3
通讯作者：
J. Eisenträger;Junqi Zhang;Chongmin Song;S. Eisenträger
中科院分区：
文献类型：
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作者：
J. Eisenträger;Junqi Zhang;Chongmin Song;S. Eisenträger
手头的贡献率相关的非弹性到比例边界有限元法（SBFEM）的非线性本构模型的实施。为了提高数值效率和简化公式，应力更新算法只在多面体单元的缩放中心执行。所提出的SBFEM框架非常适合于基于图像的复合材料分析，因为许多基体材料表现出率相关的非弹性，特别是在高温下。因此，通过采用有效的四叉树分解，基于复杂微结构的图像生成网格。这种方法的主要优点在于其高度自动化，只需要用户最少的干预。各种基准的例子来验证配方。此外，详细讨论了四叉树分解产生的锯齿状边界对结果精度和收敛性的影响。本文最后与金属基复合材料的研究，其中率相关的非弹性被考虑到模型的力学行为的矩阵。
The contribution at hand presents the implementation of a non-linear constitutive model for rate-dependent inelasticity into the scaled boundary finite element method (SBFEM). To increase the numerical efficiency and simplify the formulation, the stress update algorithm is only performed at the scaling centre of the polytope elements. The presented SBFEM framework is ideally suited for the image-based analysis of composites since many matrix materials exhibit rate-dependent inelasticity, particularly at high temperatures. Thereby, meshes are generated based on images of the complex microstructures by employing an efficient quadtree-decomposition. The main advantage of this approach lies in its high degree of automation requiring only minimal intervention by the user. Various benchmark examples are presented to verify the formulation. Furthermore, the influence of jagged boundaries, resulting from the quadtree decomposition, on the accuracy and convergence of results is discussed in detail. The paper concludes with the study of a metal-matrix composite, whereby rate-dependent inelasticity is taken into account to model the mechanical behaviour of the matrix.