Linear and nonlinear topology optimization design with projection‐based ground structure method (P‐GSM)

[1]  Esben Lindgaard,et al.  On compliance and buckling objective functions in topology optimization of snap-through problems , 2013 .

[2]  Jakob Andreas Bærentzen,et al.  De-homogenization of optimal multi-scale 3D topologies , 2019, Computer Methods in Applied Mechanics and Engineering.

[3]  Y. Liu,et al.  Explicit control of structural complexity in topology optimization , 2017 .

[4]  Grégoire Allaire,et al.  Structural optimization under overhang constraints imposed by additive manufacturing technologies , 2017, J. Comput. Phys..

[5]  Liang Gao,et al.  Concurrent topology optimization of multiscale composite structures in Matlab , 2019, Structural and Multidisciplinary Optimization.

[6]  Albert C. To,et al.  Part-scale build orientation optimization for minimizing residual stress and support volume for metal additive manufacturing: Theory and experimental validation , 2019, Comput. Aided Des..

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

[8]  Liang Gao,et al.  Design of shell-infill structures by a multiscale level set topology optimization method , 2019, Computers & Structures.

[9]  Tielin Shi,et al.  Topology optimization of hierarchical lattice structures with substructuring , 2019, Computer Methods in Applied Mechanics and Engineering.

[10]  Tomasz Sokół,et al.  A 99 line code for discretized Michell truss optimization written in Mathematica , 2011 .

[11]  Lin Cheng,et al.  Topology optimization for energy dissipation design of lattice structures through snap-through behavior , 2020 .

[12]  Jianhua Zhou,et al.  A Moving Morphable Void (MMV)-based explicit approach for topology optimization considering stress constraints , 2018, Computer Methods in Applied Mechanics and Engineering.

[13]  Ying Liu,et al.  A Moving Morphable Component Based Topology Optimization Approach for Rib-Stiffened Structures Considering Buckling Constraints , 2018, Journal of Mechanical Design.

[14]  P. Breitkopf,et al.  Design of materials using topology optimization and energy-based homogenization approach in Matlab , 2015 .

[15]  Hao Deng,et al.  A Heaviside function‐based density representation algorithm for truss‐like buckling‐induced mechanism design , 2019, International Journal for Numerical Methods in Engineering.

[16]  Toplogical optimization of structures using Fourier representations , 2018 .

[17]  Chang Liu,et al.  Optimal design of shell-graded-infill structures by a hybrid MMC-MMV approach , 2019, ArXiv.

[18]  Anders Clausen,et al.  Efficient topology optimization in MATLAB using 88 lines of code , 2011 .

[19]  Lin Cheng,et al.  Functionally graded lattice structure topology optimization for the design of additive manufactured components with stress constraints , 2019, Computer Methods in Applied Mechanics and Engineering.

[20]  Ye Tian,et al.  Cellular level set in B-splines (CLIBS): A method for modeling and topology optimization of cellular structures , 2019, Computer Methods in Applied Mechanics and Engineering.

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

[22]  Chang Liu,et al.  Machine Learning-Driven Real-Time Topology Optimization Under Moving Morphable Component-Based Framework , 2018, Journal of Applied Mechanics.

[23]  Ying Liu,et al.  Self-supporting structure design in additive manufacturing through explicit topology optimization , 2017 .

[24]  Claus B. W. Pedersen,et al.  Connected morphable components-based multiscale topology optimization , 2019, Frontiers of Mechanical Engineering.

[25]  Adedeji Aremu,et al.  A voxel-based method of constructing and skinning conformal and functionally graded lattice structures suitable for additive manufacturing , 2017 .

[26]  Ole Sigmund,et al.  Homogenization‐based topology optimization for high‐resolution manufacturable microstructures , 2018 .

[27]  Liang Gao,et al.  Topology Optimization of Periodic Structures With Substructuring , 2019, Journal of Mechanical Design.

[28]  Grégoire Allaire,et al.  Structural optimization under overhang constraints imposed by additive manufacturing processes: an overview of some recent results , 2017 .

[29]  A. Panesar,et al.  Strategies for functionally graded lattice structures derived using topology optimisation for Additive Manufacturing , 2018 .

[30]  Piotr Breitkopf,et al.  Recent Advances on Topology Optimization of Multiscale Nonlinear Structures , 2017 .

[31]  Xu Guo,et al.  Explicit layout control in optimal design of structural systems with multiple embedding components , 2015 .

[32]  J Oliver,et al.  Two‐scale topology optimization in computational material design: An integrated approach , 2018, International journal for numerical methods in engineering.

[33]  Anders Clausen,et al.  Minimum Compliance Topology Optimization of Shell-Infill Composites for Additive Manufacturing , 2017 .

[34]  Glaucio H. Paulino,et al.  Convex topology optimization for hyperelastic trusses based on the ground-structure approach , 2015 .

[35]  Ole Sigmund,et al.  Toward the topology design of mechanisms that exhibit snap-through behavior , 2004 .

[36]  T. E. Bruns,et al.  Numerical methods for the topology optimization of structures that exhibit snap‐through , 2002 .

[37]  Tam H. Nguyen,et al.  Improving multiresolution topology optimization via multiple discretizations , 2012 .

[38]  Liang Gao,et al.  Topology optimization for multiscale design of porous composites with multi-domain microstructures , 2019, Computer Methods in Applied Mechanics and Engineering.

[39]  Xu Guo,et al.  A novel asymptotic-analysis-based homogenisation approach towards fast design of infill graded microstructures , 2019, Journal of the Mechanics and Physics of Solids.

[40]  Rubén Ansola,et al.  A new overhang constraint for topology optimization of self-supporting structures in additive manufacturing , 2018 .

[41]  Wei Cheng,et al.  Hierarchical design of structures and multiphase material cells , 2016 .

[42]  Chang Liu,et al.  An efficient moving morphable component (MMC)-based approach for multi-resolution topology optimization , 2018, Structural and Multidisciplinary Optimization.

[43]  Per-Olof Persson,et al.  A Simple Mesh Generator in MATLAB , 2004, SIAM Rev..

[44]  Xu Guo,et al.  Topology optimization with multiple materials via moving morphable component (MMC) method , 2018 .

[45]  Shuting Wang,et al.  An isogeometric approach to topology optimization of spatially graded hierarchical structures , 2019, Composite Structures.

[46]  Xianmin Zhang,et al.  Structural Topology Optimization Using a Moving Morphable Component-Based Method Considering Geometrical Nonlinearity , 2018, Journal of Mechanical Design.

[47]  Albert C. To,et al.  Topology Optimization Design of Stretchable Metamaterials with Bezier Skeleton Explicit Density (BSED) Representation Algorithm , 2019, ArXiv.

[48]  Xu Guo,et al.  Explicit structural topology optimization under finite deformation via Moving Morphable Void (MMV) approach , 2019, Computer Methods in Applied Mechanics and Engineering.

[49]  Ole Sigmund,et al.  Homogenization-based stiffness optimization and projection of 2D coated structures with orthotropic infill , 2019, Computer Methods in Applied Mechanics and Engineering.

[50]  Piotr Breitkopf,et al.  Topology optimization of multiscale elastoviscoplastic structures , 2016 .

[51]  Guangyao Li,et al.  Topology optimization of periodic lattice structures taking into account strain gradient , 2018, Computers & Structures.

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

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

[54]  Casper Schousboe Andreasen,et al.  How to determine composite material properties using numerical homogenization , 2014 .

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

[56]  Oded Amir,et al.  Truss optimization with buckling considerations using geometrically nonlinear beam modeling , 2017 .

[57]  Hao Li,et al.  Multiscale topology optimization for minimizing frequency responses of cellular composites with connectable graded microstructures , 2020 .

[58]  Hao Deng,et al.  Distortion energy-based topology optimization design of hyperelastic materials , 2018, Structural and Multidisciplinary Optimization.

[59]  Daniel A. Tortorelli,et al.  A geometric projection method for designing three‐dimensional open lattices with inverse homogenization , 2017 .

[60]  Hao Li,et al.  Dynamic multiscale topology optimization for multi-regional micro-structured cellular composites , 2019, Composite Structures.

[61]  G. Paulino,et al.  GRAND3 — Ground structure based topology optimization for arbitrary 3D domains using MATLAB , 2015, Structural and Multidisciplinary Optimization.

[62]  Adeildo S. Ramos,et al.  Material nonlinear topology optimization using the ground structure method with a discrete filtering scheme , 2017 .

[63]  Kaiqing Zhang,et al.  Topology optimization considering overhang constraint in additive manufacturing , 2019, Computers & Structures.

[64]  P. Breitkopf,et al.  Multiscale structural topology optimization with an approximate constitutive model for local material microstructure , 2015 .

[65]  Stephen J. Ludwick,et al.  Natural Frequency Optimization of Variable-Density Additive Manufactured Lattice Structure: Theory and Experimental Validation , 2018, Journal of Manufacturing Science and Engineering.

[66]  John O. Milewski,et al.  Additive Manufacturing of Metals: From Fundamental Technology to Rocket Nozzles, Medical Implants, and Custom Jewelry , 2017 .

[67]  Tam H. Nguyen,et al.  A computational paradigm for multiresolution topology optimization (MTOP) , 2010 .

[68]  Xu Guo,et al.  Additive manufacturing oriented design of graded lattice structures through explicit topology optimization , 2017 .

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

[70]  Jianbin Du,et al.  A generalized DCT compression based density method for topology optimization of 2D and 3D continua , 2018, Computer Methods in Applied Mechanics and Engineering.

[71]  Xu Guo,et al.  Explicit three dimensional topology optimization via Moving Morphable Void (MMV) approach , 2017, 1704.06060.

[72]  Haim Waisman,et al.  Layout design of a bi-stable cardiovascular stent using topology optimization , 2016 .

[73]  O. Querin,et al.  Exact analytical theory of topology optimization with some pre-existing members or elements , 2006 .

[74]  Julián A. Norato,et al.  A geometry projection method for the topology optimization of plate structures , 2016 .

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

[76]  Jie Yuan,et al.  A new three-dimensional topology optimization method based on moving morphable components (MMCs) , 2017 .

[77]  Xu Guo,et al.  Explicit topology optimization using IGA-based moving morphable void (MMV) approach , 2020 .

[78]  Glaucio H. Paulino,et al.  Macroelement and Macropatch Approaches to Structural Topology Optimization Using the Ground Structure Method , 2016 .

[79]  N. Kikuchi,et al.  A homogenization method for shape and topology optimization , 1991 .

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

[81]  Lin Cheng,et al.  On utilizing topology optimization to design support structure to prevent residual stress induced build failure in laser powder bed metal additive manufacturing , 2019, Additive Manufacturing.