Structural Topology Optimization Using a Moving Morphable Component-Based Method Considering Geometrical Nonlinearity

[1]  Kurt Maute,et al.  Level-set methods for structural topology optimization: a review , 2013 .

[2]  Jian Zhang,et al.  Minimum length scale control in structural topology optimization based on the Moving Morphable Components (MMC) approach , 2016 .

[3]  Jian Zhang,et al.  A new topology optimization approach based on Moving Morphable Components (MMC) and the ersatz material model , 2016 .

[4]  Xianmin Zhang,et al.  A Velocity Predictor–Corrector Scheme in Level Set-Based Topology Optimization to Improve Computational Efficiency , 2014 .

[5]  Zhan Kang,et al.  A topology optimization method for geometrically nonlinear structures with meshless analysis and independent density field interpolation , 2014 .

[6]  O. Sigmund,et al.  Stiffness design of geometrically nonlinear structures using topology optimization , 2000 .

[7]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[8]  Xianmin Zhang,et al.  Level Set-Based Topology Optimization of Hinge-Free Compliant Mechanisms Using a Two-Step Elastic Modeling Method , 2014 .

[9]  Tao Liu,et al.  Topology Optimization of Total Femur Structure: Application of Parameterized Level Set Method Under Geometric Constraints , 2016 .

[10]  M. Bendsøe,et al.  Material interpolation schemes in topology optimization , 1999 .

[11]  H. Gea,et al.  Topology optimization of structures with geometrical nonlinearities , 2001 .

[12]  K. Svanberg The method of moving asymptotes—a new method for structural optimization , 1987 .

[13]  Takayuki Yamada,et al.  Topology optimization of hyperbolic metamaterials for an optical hyperlens , 2017 .

[14]  M. Zhou,et al.  Generalized shape optimization without homogenization , 1992 .

[15]  Yi Min Xie,et al.  Evolutionary Structural Optimization , 1997 .

[16]  Jian Zhang,et al.  Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons , 2016 .

[17]  Z. Kang,et al.  Topology optimization of geometrically nonlinear structures based on an additive hyperelasticity technique , 2015 .

[18]  Geert Lombaert,et al.  Robust topology optimization of structures with imperfect geometry based on geometric nonlinear analysis , 2015 .

[19]  T. E. Bruns,et al.  Topology optimization of non-linear elastic structures and compliant mechanisms , 2001 .

[20]  D. Tortorelli,et al.  A geometry projection method for continuum-based topology optimization with discrete elements , 2015 .

[21]  Michael Gschweitl,et al.  Designing for Additive Manufacturing: Lightweighting Through Topology Optimization Enables Lunar Spacecraft , 2017 .

[22]  Y. Xie,et al.  A simple evolutionary procedure for structural optimization , 1993 .

[23]  G. Allaire,et al.  Structural optimization using sensitivity analysis and a level-set method , 2004 .

[24]  Xu Guo,et al.  Doing Topology Optimization Explicitly and Geometrically—A New Moving Morphable Components Based Framework , 2014 .

[25]  Yi Min Xie,et al.  Evolutionary structural optimisation (ESO) using a bidirectional algorithm , 1998 .

[26]  Jakob S. Jensen,et al.  Interpolation scheme for fictitious domain techniques and topology optimization of finite strain elastic problems , 2014 .

[27]  Xianmin Zhang,et al.  Design of diaphragm structure for piezoresistive pressure sensor using topology optimization , 2017 .

[28]  Takayuki Yamada,et al.  An Optimum Design Method for a Thermal-Fluid Device Incorporating Multiobjective Topology Optimization With an Adaptive Weighting Scheme , 2018 .

[29]  J. Sethian,et al.  Structural Boundary Design via Level Set and Immersed Interface Methods , 2000 .

[30]  Xiaoming Wang,et al.  A level set method for structural topology optimization , 2003 .

[31]  K. Maute,et al.  Level set topology optimization of structural problems with interface cohesion , 2017 .

[32]  Zhi Sun,et al.  Kirigami pattern design of mechanically driven formation of complex 3D structures through topology optimization , 2017 .

[33]  Y. Kim,et al.  Element connectivity parameterization for topology optimization of geometrically nonlinear structures , 2005 .

[34]  Julián A. Norato,et al.  Stress-based topology optimization with discrete geometric components , 2017 .

[35]  Timon Rabczuk,et al.  A level-set based IGA formulation for topology optimization of flexoelectric materials , 2017 .

[36]  Qi Xia,et al.  Optimal Synthesis of Compliant Mechanisms Using a Connectivity Preserving Level Set Method , 2005 .

[37]  G. Yoon,et al.  Implementation of topological derivative in the moving morphable components approach , 2017 .

[38]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[39]  Xu Guo,et al.  Structural complexity control in topology optimization via moving morphable component (MMC) approach , 2017 .

[40]  James K. Guest,et al.  Topology Optimization of Components With Embedded Objects Using Discrete Object Projection , 2017, DAC 2017.

[41]  Jian Zhang,et al.  Lagrangian Description Based Topology Optimization—A Revival of Shape Optimization , 2016 .

[42]  Ole Sigmund,et al.  Topology synthesis of large‐displacement compliant mechanisms , 2001 .

[43]  George I. N. Rozvany,et al.  A critical review of established methods of structural topology optimization , 2009 .

[44]  Gyung-Jin Park,et al.  Topology Optimization for Structures With Nonlinear Behavior Using the Equivalent Static Loads Method , 2012 .

[45]  H. Gea,et al.  Topology optimization of nonlinear structures , 2004 .

[46]  Xianmin Zhang,et al.  Jacobian-Based Topology Optimization Method Using an Improved Stiffness Evaluation , 2018 .

[47]  Matteo Bruggi,et al.  Synthesis of auxetic structures using optimization of compliant mechanisms and a micropolar material model , 2016, Structural and Multidisciplinary Optimization.