期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 359, 期 -, 页码 -出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2019.112760
关键词
3D microarchitecture synthesis; Topology optimization algorithm; Topology design inspired by crystal symmetries; 3D elastic metamaterials; Auxetic; Pentamode and Stiffest composites
资金
- CONICET, Argentina
- ANPCyT, Argentina [PIP 2013-2015 631, PICT 2014-3372, 2016-2673]
A numerical methodology developed for the microarchitecture design of 3D elastic two-phase periodic composites with effective isotropic properties close to the theoretical bounds is here presented and analyzed. This methodology is formulated as a topology optimization problem and is implemented using a level-set approach jointly with topological derivative. The most salient characteristic of this methodology is the imposition of preestablished crystal symmetries to the designed topologies; we integrate a topological optimization formulation with crystal symmetries to design mechanical metamaterials. The computational homogenization of the composite elastic properties is determined using a Fast Fourier Transform (FFT) technique. Due to the design domains are the primitive cells of Bravais lattices compatible with the space group imposed to the material layout, we have adapted the FFT technique to compute the effective properties in 3D parallelepiped domains. In this work, to find the topologies satisfying the proposed targets, we test four space groups of the cubic crystal system. Thus, the achievement of composites with effective elasticity tensor having cubic symmetry is guaranteed, and the isotropic response is then enforced by adding only one scalar constraint to the topology optimization problem. To assess the methodology, the following microarchitectures are designed and reported: two auxetic composites, three pentamode materials, and one maximum stiffness composite. With only one exception, all the remaining topologies display effective elastic properties with Zener coefficients approximating to 1. (C) 2019 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据