Density and level set-XFEM schemes for topology optimization of 3-D structures
作者： Carlos H. Villanueva , Kurt Maute
DOI: 10.1007/S00466-014-1027-Z
关键词: Level set 、 Topology optimization 、 Computational Science and Engineering 、 Mathematical optimization 、 Algorithm 、 Mathematics 、 Isotropy 、 3D printing 、 Extended finite element method 、 Polygon mesh
摘要: … onto general two-phase problems in three dimensions. We will compare results of the proposed LSM–XFEM framework with SIMP results for structural topology optimization examples. …
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arxiv.org 参考文章(52)
Li Li, Michael Yu Wang, Peng Wei, XFEM schemes for level set based structural optimization Frontiers of Mechanical Engineering. ,vol. 7, pp. 335- 356 ,(2012) , 10.1007/S11465-012-0351-2
Arun L. Gain, Glaucio H. Paulino, A critical comparative assessment of differential equation-driven methods for structural topology optimization Structural and Multidisciplinary Optimization. ,vol. 48, pp. 685- 710 ,(2013) , 10.1007/S00158-013-0935-4
Joshua D. Deaton, Ramana V. Grandhi, A survey of structural and multidisciplinary continuum topology optimization: post 2000 Structural and Multidisciplinary Optimization. ,vol. 49, pp. 1- 38 ,(2014) , 10.1007/S00158-013-0956-Z
John Dolbow, Isaac Harari, An efficient finite element method for embedded interface problems International Journal for Numerical Methods in Engineering. ,vol. 78, pp. 229- 252 ,(2009) , 10.1002/NME.2486
Krister Svanberg, A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations Siam Journal on Optimization. ,vol. 12, pp. 555- 573 ,(2002) , 10.1137/S1052623499362822
Tam H. Nguyen, Glaucio H. Paulino, Junho Song, Chau H. Le, Improving multiresolution topology optimization via multiple discretizations International Journal for Numerical Methods in Engineering. ,vol. 92, pp. 507- 530 ,(2012) , 10.1002/NME.4344
T. Belytschko, T. Black, Elastic crack growth in finite elements with minimal remeshing International Journal for Numerical Methods in Engineering. ,vol. 45, pp. 601- 620 ,(1999) , 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S
Axel Gerstenberger, Wolfgang A. Wall, Enhancement of fixed-grid methods towards complex fluid-structure interaction applications International Journal for Numerical Methods in Fluids. ,vol. 57, pp. 1227- 1248 ,(2008) , 10.1002/FLD.1782
Ole Sigmund, Kurt Maute, Topology optimization approaches: A comparative review Structural and Multidisciplinary Optimization. ,vol. 48, pp. 1031- 1055 ,(2013) , 10.1007/S00158-013-0978-6
Xin Ning, Sergio Pellegrino, Design of lightweight structural components for direct digital manufacturing 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference<BR>20th AIAA/ASME/AHS Adaptive Structures Conference<BR>14th AIAA. ,(2012) , 10.2514/6.2012-1807