Gangwar Tarun, Schillinger Dominik
Department of Civil, Environmental, and Geo-Engineering, University of Minnesota, Twin Cities, USA.
Institute of Mechanics and Computational Mechanics, Leibniz Universität Hannover, Hannover, Germany.
Struct Multidiscipl Optim. 2021;64(3):1175-1197. doi: 10.1007/s00158-021-02907-1. Epub 2021 May 31.
We present a concurrent material and structure optimization framework for multiphase hierarchical systems that relies on homogenization estimates based on continuum micromechanics to account for material behavior across many different length scales. We show that the analytical nature of these estimates enables material optimization via a series of inexpensive "discretization-free" constraint optimization problems whose computational cost is independent of the number of hierarchical scales involved. To illustrate the strength of this unique property, we define new benchmark tests with several material scales that for the first time become computationally feasible via our framework. We also outline its potential in engineering applications by reproducing self-optimizing mechanisms in the natural hierarchical system of bamboo culm tissue.
我们提出了一种用于多相分层系统的并行材料和结构优化框架，该框架依赖基于连续介质微观力学的均匀化估计来考虑跨越许多不同长度尺度的材料行为。我们表明，这些估计的解析性质使得能够通过一系列低成本的“无离散化”约束优化问题进行材料优化，其计算成本与所涉及的分层尺度数量无关。为了说明这一独特属性的优势，我们定义了具有多个材料尺度的新基准测试，通过我们的框架首次在计算上变得可行。我们还通过在竹茎组织的自然分层系统中重现自优化机制，概述了其在工程应用中的潜力。
