2017
DOI: 10.1016/j.cma.2017.08.021
|View full text |Cite
|
Sign up to set email alerts
|

Explicit isogeometric topology optimization using moving morphable components

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
27
0

Year Published

2018
2018
2023
2023

Publication Types

Select...
7
2

Relationship

0
9

Authors

Journals

citations
Cited by 82 publications
(27 citation statements)
references
References 59 publications
0
27
0
Order By: Relevance
“…Where el i ,i = 1, ..., 4 are the values of the TDF at the four nodes of the element el and q is a parameters that has the role of penalization, in order to render the variation of Young's modulus even faster at the boundary of the component. In figure 4a, the single component example of figure 1a has been used to plot the distribution of Young's modulus according to equation (20) over a 50 ⇥ 50 finite element mesh. In order to obtain the local density ⇢ el , which was not explicitly considered in [71], an equivalent expression that leads to the same value of volume fraction for the same configuration is proposed here:…”
Section: Moving Morphable Components (Mmc) With Esartz Materials Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…Where el i ,i = 1, ..., 4 are the values of the TDF at the four nodes of the element el and q is a parameters that has the role of penalization, in order to render the variation of Young's modulus even faster at the boundary of the component. In figure 4a, the single component example of figure 1a has been used to plot the distribution of Young's modulus according to equation (20) over a 50 ⇥ 50 finite element mesh. In order to obtain the local density ⇢ el , which was not explicitly considered in [71], an equivalent expression that leads to the same value of volume fraction for the same configuration is proposed here:…”
Section: Moving Morphable Components (Mmc) With Esartz Materials Modelmentioning
confidence: 99%
“…In the work of [18] the ability of MMC to determined self supported structures is studied and in Liu et al [27] the MMCs/MMVs framework is employed to determine graded lattice structures achievable with additive layer manufacturing technologies. In Hou et al [20] the MMC framework is proposed based on Isogeoemtric Analysis (IGA) instead of finite element analysis (FEA). In Zhang et al [68], the MMC approach is employed to design multi-material structures and in Zhang et al [67] it is employed to find the best layout of sti↵ening ribs including buckling constraints.…”
Section: Introductionmentioning
confidence: 99%
“…14. Recently, Guo et al [Guo, Zhang and Zhong (2014); Zhang, Yuan, Zhang et al (2016)] developed an explicit topology design optimization approach using the concept of moving morphable components (MMC). The basic idea of this method is based on that arbitrary complicated topology can be decomposed into a finite number of components and Hou et al [Hou, Gai, Zhu et al (2017)] first proposed an explicit ITO using IGA to perform the MMC-based topology optimization, which not only explicitly preserve the geometric and mechanical information in topology optimization, but also provides a more flexible process for analysis and optimization. However, there is an imperfection of both conventional MMC-based topology optimization and MMC-based ITO that the overlapped region of components is dealt with by the max function with only C 0 continuity, which results in the objective function becoming nondifferentiable and may cause a low convergence rate of optimization.…”
Section: Other Types Of Isogeometric Topology Optimizationmentioning
confidence: 99%
“…In order to overcome the above difficulties, Guo et al [17,18] proposed a so-called moving morphable component method containing precise geometric information, where a series of structural components with explicit geometry information are used as basic building blocks, and the structural topology can be obtained by optimizing the explicit geometry parameters of components (i.e., the lengths, thickness, tilt angle, and center coordinates), such as in Figure 1. Recent years witnessed a growing interest on developing topology optimization methods based on explicit geometry/topology descriptions [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34].…”
Section: Introductionmentioning
confidence: 99%