.png){kind=icon}
返回
Isogeometric shape optimization on triangulations
.png){kind=icon}
OA
AI
DOI：10.1016/j.cma.2017.11.032.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The paper presents a Bezier triangle based isogeometric shape optimization method. Bezier triangles are used to represent both the geometry and physical fields. For a given physical domain defined by B-spline boundary, a coarse Bezier triangular parameterization is automatically generated. This coarse mesh is used to maintain parameterization quality and move mesh by solving a pseudo linear elasticity problem. Then a fine mesh for isogeometric analysis is generated from the coarse mesh through degree elevation and refinement. As the fine mesh retains the same geometric map as the coarse mesh, we can guarantee mesh validity with the coarse mesh only. This bi-level mesh allows us to achieve high numerical accuracy of isogeometric analysis and lower computational cost on mesh validity control and mesh movement. Due to the use of B-spline boundary, the optimized shape can be compactly represented with a relatively small number of optimization variables. Due to the use Bezier triangles, this shape optimization method is applicable to structures of complex topology and allows for local refinement for analysis. By representing the squared distance between two Bezier curves as a Bezier form, a distance check scheme is also introduced to prevent intersections of design boundaries and control the thickness of structural connections. Numerical examples on minimal compliance design and design of negative Poisson ratios are presented to demonstrate the efficacy of the proposed method. (C) 2017 Elsevier B.V. All rights reserved.
Keyword:
Isogeometric shape optimization
Bezier triangles
Distance constraints
Coarse and fine mesh
Material design
Negative Poisson's ratio
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
机构
引用论文
分享收藏Topology Optimized Architectures with Programmable Poisson's Ratio over Large Deformations.png)
ADVANCED MATERIALSOAAI
ADVANCED MATERIALSIF26.8
OAAI分享收藏
查看更多内容