Topology optimization with mixed finite elements on regular grids
Topology optimization with mixed finite elements on regular grids
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DOI：
10.1016/j.cma.2016.03.010
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发表时间：
2016-06
影响因子：
7.2
通讯作者：
M. Bruggi
中科院分区：
文献类型：
--
作者：
M. Bruggi
最近，人们提出了一种新的混合有限元族，以解决在规则网格上采用有限自由度的线弹性体的分析问题。采用二维混合离散化方法，建立了以应力为主要变量，可压缩材料和不可压缩材料均可处理的备选拓扑优化问题。结构柔度是通过互补能量的评估来计算的，而应力约束的实施则是直截了当的。数值模拟研究了该方法的特点：对可压缩材料与传统的基于位移的方法进行了比较；介绍了由不可压缩介质构成的结构的应力约束解。
Recently, new families of mixed finite elements have been proposed to address the analysis of linear elastic bodies on regular grids adopting a limited number of degrees of freedom per element. A two-dimensional mixed discretization is implemented to formulate an alternative topology optimization problem where stresses play the role of main variables and both compressible and incompressible materials can be dealt with. The structural compliance is computed through the evaluation of the complementary energy, whereas the enforcement of stress constraints is straightforward. Numerical simulations investigate the features of the proposed approach: comparisons with a conventional displacement-based scheme are provided for compressible materials; stress-constrained solutions for structures made of incompressible media are introduced.