Isogeometric Analysis-Based Topological Optimization for Heterogeneous Parametric Porous Structures
查看参考文献48篇
|
文摘
|
Porous structures widely exist in nature and artifacts,which can be exploited to reduce structural weight and material usage or improve damage tolerance and energy absorption.In this study,the authors develop an approach to design optimized porous structures with Triply Periodic Minimal Surfaces (TPMSs) in the framework of isogeometric analysis (IGA)-based topological optimization.In the developed method,by controlling the density distribution,the designed porous structures can achieve the optimal mechanical performance without increasing the usage of materials.First,the implicit functions of the TPMSs are adopted to design several types of porous elements parametrically.Second,to reduce the cost of computation,the authors propose an equivalent method to forecast the elastic modulus of these porous elements with different densities.Subsequently,the relationships of different porous elements between the elastic modulus and the relative density are constructed.Third,the IGA-based porous topological optimization is developed to obtain an optimal density distribution,which solves a volume constrained compliance minimization problem based on IGA.Finally,an optimum heterogeneous porous structure is generated based on the optimized density distribution.Experimental results demonstrate the effectiveness and efficiency of the proposed method. |
|
来源
|
Journal of Systems Science and Complexity
,2023,36(1):29-52 【核心库】
|
|
DOI
|
10.1007/s11424-022-1290-6
|
|
关键词
|
B-spline solid
;
heterogeneous porous structure
;
isogeometric analysis
;
topological optimization
;
triply periodic minimal surface
|
|
地址
|
School of Mathematical Sciences,Zhejiang University, State Key Lab.of CAD&CG, Hangzhou, 310027
|
|
语种
|
英文 |
|
文献类型
|
研究性论文 |
|
ISSN
|
1009-6124 |
|
学科
|
一般工业技术 |
|
基金
|
国家自然科学基金
;
the National Key R&D Plan of China
|
|
文献收藏号
|
CSCD:7551063
|
参考文献 共
48
共3页
|
|
1.
Elnasri I. Shock enhancement of cellular structures under impact loading: Part I experiments.
Journal of the Mechanics and Physics of Solids,2007,55(12):2652-2671
|
CSCD被引
20
次
|
|
|
|
|
2.
Andrews E W. The influence of cracks, notches and holes on the tensile strength of cellular solids.
Acta Materialia,2001,49(15):2975-2979
|
CSCD被引
7
次
|
|
|
|
|
3.
Ajdari A. Dynamic crushing and energy absorption of regular, irregular and functionally graded cellular structures.
International Journal of Solids & Structures,2011,48(3/4):506-516
|
CSCD被引
32
次
|
|
|
|
|
4.
Wu S L. Biomimetic porous scaffolds for bone tissue engineering.
Materials Science and Engineering: R: Reports,2014,80:1-36
|
CSCD被引
48
次
|
|
|
|
|
5.
Chen Y Z. Metal-organic framework-derived porous materials for catalysis.
Coordination Chemistry Reviews,2018,362:1-23
|
CSCD被引
61
次
|
|
|
|
|
6.
Ajit P. Strategies for functionally graded lattice structures derived using topology optimisation for Additive Manufacturing.
Additive Manufacturing,2018,19:81-94
|
CSCD被引
17
次
|
|
|
|
|
7.
Cheah C M. Development of a tissue engineering scaffold structure library for rapid prototyping. Part 1: Investigation and classification.
International Journal of Advanced Manufacturing Technology,2003,21(4):291-301
|
CSCD被引
12
次
|
|
|
|
|
8.
Sun W. Computer-aided tissue engineering: Application to biomimetic modelling and design of tissue scaffolds.
Biotechnology and Applied Biochemistry,2004,39(1):49-58
|
CSCD被引
7
次
|
|
|
|
|
9.
Rajagopalan S. Schwarz meets Schwann: Design and fabrication of biomorphic tissue engineering scaffolds.
Medical Image Analysis,2006,10(5):693-712
|
CSCD被引
12
次
|
|
|
|
|
10.
Schroeder C. Computer-aided design of porous artifacts.
Computer-Aided Design,2005,37(3):339-353
|
CSCD被引
6
次
|
|
|
|
|
11.
Sogutlu S. Stochastic modeling of tissue engineering scaffolds with varying porosity levels.
Computer-Aided Design and Applications,2007,4(5):661-670
|
CSCD被引
2
次
|
|
|
|
|
12.
Kou X Y. A simple and effective geometric representation for irregular porous structure modeling.
Computer-Aided Design,2010,42(10):930-941
|
CSCD被引
9
次
|
|
|
|
|
13.
Li M. Design optimization of interconnected porous structures using extended triply periodic minimal surfaces.
Journal of Computational Physics,2021,425:109909
|
CSCD被引
4
次
|
|
|
|
|
14.
Yoo D J. Porous scaffold design using the distance field and triply periodic minimal surface models.
Biomaterials,2011,32(31):7741-7754
|
CSCD被引
13
次
|
|
|
|
|
15.
Yang N. Multi-morphology transition hybridization cad design of minimal surface porous structures for use in tissue engineering.
Computer-Aided Design,2014,56:11-21
|
CSCD被引
13
次
|
|
|
|
|
16.
Hu C F. Heterogeneous porous scaffold generation using trivariate B-spline solids and triply periodic minimal surfaces.
Graphical Models,2021,115:101105
|
CSCD被引
4
次
|
|
|
|
|
17.
Hughes T J R. Isogeometric analysis: Cad, finite elements, nurbs, exact geometry and mesh refinement.
Computer Methods in Applied Mechanics and Engineering,2005,194(39):4135-4195
|
CSCD被引
270
次
|
|
|
|
|
18.
Zhang Y J. Patient-specific vascular nurbs modeling for isogeometric analysis of blood flow.
Computer Methods in Applied Mechanics and Engineering,2007,196(29):2943-2959
|
CSCD被引
16
次
|
|
|
|
|
19.
Martin T. Volumetric parameterization and trivariate B-spline fitting using harmonic functions.
Computer Aided Geometric Design,2009,26(6):648-664
|
CSCD被引
16
次
|
|
|
|
|
20.
Chen L. Constructing volumetric parameterization based on directed graph simplification of l1 polycube structure from complex shapes.
Computer Methods in Applied Mechanics and Engineering,2019,351:422-440
|
CSCD被引
5
次
|
|
|
|
|
了解气象卫星更多信息，请访问