Shape optimization using a NURBS‐based interface‐enriched generalized FEM
暂无分享,去创建一个
Masoud Safdari | Daniel A. Tortorelli | Philippe H. Geubelle | Ahmad R. Najafi | D. Tortorelli | A. Najafi | P. Geubelle | M. Safdari | Masoud Safdari
[1] Claude Fleury,et al. Generalized Shape Optimization Using X-FEM and Level Set Methods , 2005 .
[2] N. V. Banichuk,et al. Optimality conditions in the problem of seeking the hole shapes in elastic bodies: PMM vol. 41, n≗ 5, 1977, pp. 920–925 , 1977 .
[3] Florin Bobaru,et al. Boundary layer in shape optimization of convective fins using a meshfree approach , 2004 .
[4] M. Wang,et al. A level set‐based parameterization method for structural shape and topology optimization , 2008 .
[5] Kyung K. Choi,et al. Shape Design Optimization of Hyperelastic Structures Using a Meshless Method , 1999 .
[6] Régis Duvigneau,et al. Shape Gradient for Isogeometric Structural Design , 2013, Journal of Optimization Theory and Applications.
[7] S. Chen,et al. Three-dimensional shape optimization with variational geometry , 1997 .
[8] Seung-Hyun Ha,et al. Isogeometric shape design optimization: exact geometry and enhanced sensitivity , 2009 .
[9] G. P. Cherepanov. Inverse problems of the plane theory of elasticity: PMM vol. 38, n≗ 6, 1974, pp. 963–979 , 1974 .
[10] L. Van Miegroet,et al. Stress concentration minimization of 2D filets using X-FEM and level set description , 2007 .
[11] E. Schnack,et al. Nonparametric gradient-less shape optimization for real-world applications , 2005 .
[12] Ole Sigmund,et al. A 99 line topology optimization code written in Matlab , 2001 .
[13] A. Lee,et al. Shape optimization of connecting rod pin end using a generic model , 1992 .
[14] Kai-Uwe Bletzinger,et al. In-plane mesh regularization for node-based shape optimization problems , 2014 .
[15] Yury Grabovsky,et al. The cavity of the optimal shape under the shear stresses , 1998 .
[16] Philippe H. Geubelle,et al. An interface‐enriched generalized FEM for problems with discontinuous gradient fields , 2012 .
[17] Kai-Uwe Bletzinger,et al. The Vertex Morphing method for node-based shape optimization , 2014 .
[18] M. Bendsøe. Optimal shape design as a material distribution problem , 1989 .
[19] Jon Trevelyan,et al. Evolutionary structural optimisation based on boundary representation of NURBS. Part I: 2D algorithms , 2005 .
[20] Xiaoming Wang,et al. Structural shape and topology optimization in a level-set-based framework of region representation , 2004 .
[21] M. E. Botkin,et al. Structural shape optimization with geometric description and adaptive mesh refinement , 1985 .
[22] Ole Sigmund,et al. Isogeometric shape optimization of photonic crystals via Coons patches , 2011 .
[23] Tugrul Dayar,et al. Analyzing Markov Chains using Kronecker Products , 2012 .
[24] Kyung K. Choi,et al. Numerical method for shape optimization using T-spline based isogeometric method , 2010 .
[25] Masoud Safdari,et al. A gradient-based shape optimization scheme using an interface-enriched generalized FEM , 2015 .
[26] Michael Yu Wang,et al. A study on X-FEM in continuum structural optimization using a level set model , 2010, Comput. Aided Des..
[27] T. Hughes,et al. Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement , 2005 .
[28] M. Imam. Three‐dimensional shape optimization , 1982 .
[29] G. Allaire,et al. Structural optimization using sensitivity analysis and a level-set method , 2004 .
[30] M. Bendsøe,et al. A geometry projection method for shape optimization , 2004 .
[31] F. Bobaru,et al. E(FG)2: a new fixed-grid shape optimization method based on the element-free galerkin mesh-free analysis , 2006 .
[32] Jaroslav Haslinger,et al. FICTITIOUS DOMAINS METHODS WITH DISTRIBUTED LAGRANGE MULTIPLIERS PART II: APPLICATION TO THE SOLUTION OF SHAPE OPTIMIZATION PROBLEMS , 2001 .
[33] Glen Mullineux,et al. Investigation and improvement of sensitivity computation using the area-fraction weighted fixed grid FEM and structural optimization , 2011 .
[34] Jens Gravesen,et al. Isogeometric Shape Optimization of Vibrating Membranes , 2011 .
[35] Liang Xia,et al. Integrated layout design of multi-component systems using XFEM and analytical sensitivity analysis , 2012 .
[36] Nam H. Kim,et al. Eulerian shape design sensitivity analysis and optimization with a fixed grid , 2005 .
[37] Masoud Safdari,et al. A NURBS-based interface-enriched generalized finite element scheme for the thermal analysis and design of microvascular composites , 2015 .
[38] Xiaoping Qian,et al. Full analytical sensitivities in NURBS based isogeometric shape optimization , 2010 .
[39] Daniel A. Tortorelli,et al. Optimal design of nonlinear parabolic systems. Part II: Variable spatial domain with applications to casting optimization , 1994 .
[40] Zafer Gürdal,et al. Isogeometric sizing and shape optimisation of beam structures , 2009 .
[41] Chau H. Le,et al. A gradient-based, parameter-free approach to shape optimization , 2011 .
[42] Y. Xie,et al. A simple evolutionary procedure for structural optimization , 1993 .
[43] V. Braibant,et al. Shape optimal design using B-splines , 1984 .
[44] Nancy R. Sottos,et al. A NURBS‐based interface‐enriched generalized finite element method for problems with complex discontinuous gradient fields , 2015 .
[45] T. Shi,et al. A level set solution to the stress-based structural shape and topology optimization , 2012 .
[46] K. Maute,et al. Numerical instabilities in level set topology optimization with the extended finite element method , 2014 .
[47] Roland Wüchner,et al. Optimal shapes of mechanically motivated surfaces , 2010 .
[48] R. Schmidt,et al. Isogeometric shape optimization of shells using semi-analytical sensitivity analysis and sensitivity weighting , 2014 .
[49] P. Pedersen. On optimal shapes in materials and structures , 2000 .
[50] Dan Wang,et al. A general material perturbation method using fixed mesh for stress sensitivity analysis and structural shape optimization , 2013 .
[51] T. E. Bruns,et al. Topology optimization of non-linear elastic structures and compliant mechanisms , 2001 .
[52] Sung-Kie Youn,et al. Isogeometric topology optimization using trimmed spline surfaces , 2010 .
[53] A. Belegundu,et al. A shape optimization approach based on natural design variables and shape functions , 1988 .
[54] Hideyuki Azegami,et al. Shape optimization of continua using NURBS as basis functions , 2013 .
[55] R. Haftka,et al. Structural shape optimization — a survey , 1986 .
[56] W. Wall,et al. Isogeometric structural shape optimization , 2008 .
[57] Sung-Kie Youn,et al. Shape optimization and its extension to topological design based on isogeometric analysis , 2010 .
[58] Yujin Hu,et al. A physics-based parameterization method for shape optimization , 1999 .
[59] O. Sigmund,et al. Topology optimization using an explicit interface representation , 2014 .
[60] C. Mattheck,et al. A new method of structural shape optimization based on biological growth , 1990 .
[61] K. Svanberg,et al. An alternative interpolation scheme for minimum compliance topology optimization , 2001 .
[62] Nicolas Moës,et al. Generalized Shape optimization based on the Level Set method , 2005 .
[63] Daniel A. Tortorelli,et al. A Geometric Representation Scheme Suitable for Shape Optimization , 1993 .
[64] J. Trevelyan,et al. Structural optimisation based on the boundary element and level set methods. , 2014 .