Computational optimization of adhesive microstructures based on a nonlinear beam formulation
Computational optimization of adhesive microstructures based on a nonlinear beam formulation
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DOI：
10.1007/s00158-014-1091-1
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发表时间：
2014-06
影响因子：
3.9
通讯作者：
Janine C. Mergel;R. Sauer;A. Saxena
中科院分区：
文献类型：
--
作者：
Janine C. Mergel;R. Sauer;A. Saxena
本文提出了胶粘剂微结构的计算形状优化方法。粘附力由范德华相互作用描述。这些被结合到一个非线性的、几何精确的梁公式中。梁的横截面被认为是沿梁长度变化的。然后，通过最大化梁的接触面、最大化剥离过程中的外功以及最小化应变能，将得到的形状变化用于优化。采用非线性有限元方法对所得系统进行离散和求解。然后基于遗传算法进行优化。除了实际的优化过程外，本文还重点研究了问题的表示和相应的问题参数的选择。为了探索设计空间的性质，我们考察了大量的基准案例。对模型的优化参数进行了研究，得出了若干设计准则。结果表明，根据所选择的模型参数，所计算的最佳束流形状与壁虎铲的形状相似。
This paper presents computational shape optimization of adhesive microstructures. Adhesion is described by van der Waals interactions. These are incorporated into a nonlinear, geometrically exact beam formulation. The cross section of the beam is considered to vary along the beam length. The resulting shape variations are then used for optimization, by maximizing the contact surface of the beam, maximizing the external work during peeling, and minimizing the strain energy. A nonlinear finite element formulation is used to discretize and solve the resulting system. Optimization is then based on a genetic algorithm. Apart from the actual optimization procedure, this work also focuses on the problem formulation and the corresponding choice of problem parameters. In order to explore the properties of the design space, a large number of benchmark cases is examined. The optimization parameters of the model are investigated and several design guidelines are drawn. It is shown that, depending on the chosen model parameters, the computed optimal beam shape resembles the shape of gecko spatulae.