Functionally graded lattice structure topology optimization for the design of additive manufactured components with stress constraints

[1]  G. Sved,et al.  Structural optimization under multiple loading , 1968 .

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

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

[4]  N. Kikuchi,et al.  Solutions to shape and topology eigenvalue optimization problems using a homogenization method , 1992 .

[5]  Gengdong Cheng,et al.  STUDY ON TOPOLOGY OPTIMIZATION WITH STRESS CONSTRAINTS , 1992 .

[6]  N. Kikuchi,et al.  A comparison of homogenization and standard mechanics analyses for periodic porous composites , 1992 .

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

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

[9]  G. Cheng,et al.  ε-relaxed approach in structural topology optimization , 1997 .

[10]  E. Hinton,et al.  A review of homogenization and topology optimization I- homogenization theory for media with periodic structure , 1998 .

[11]  M. Bendsøe,et al.  Topology optimization of continuum structures with local stress constraints , 1998 .

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

[13]  Grégoire Allaire,et al.  Boundary layer tails in periodic homogenization , 1999 .

[14]  M. Ashby,et al.  Effective properties of the octet-truss lattice material , 2001 .

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

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

[17]  David W. Rosen,et al.  Computer-Aided Design for Additive Manufacturing of Cellular Structures , 2007 .

[18]  G. Allaire,et al.  Minimum stress optimal design with the level set method. , 2008 .

[19]  David W. Rosen,et al.  Design for Additive Manufacturing of Cellular Structures , 2008 .

[20]  M. Bruggi.  On an alternative approach to stress constraints relaxation in topology optimization , 2008 .

[21]  F. Navarrina,et al.  Topology optimization of continuum structures with local and global stress constraints , 2009 .

[22]  A. Kalamkarov,et al.  Asymptotic Homogenization of Composite Materials and Structures , 2009 .

[23]  Julián A. Norato,et al.  Stress-based topology optimization for continua , 2010 .

[24]  I. Colominas,et al.  Block aggregation of stress constraints in topology optimization of structures , 2007, Adv. Eng. Softw..

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

[26]  Xu Guo,et al.  Stress-related Topology Optimization via Level Set Approach , 2011 .

[27]  Kai A. James,et al.  Structural and Multidisciplinary Optimization Manuscript No. Stress-constrained Topology Optimization with Design- Dependent Loading , 2022 .

[28]  Nader Masmoudi,et al.  Homogenization and boundary layers , 2012 .

[29]  Shiwei Zhou,et al.  Topology optimization of microstructures of cellular materials and composites for macrostructures , 2013 .

[30]  Michael Yu Wang,et al.  Optimal topology design of continuum structures with stress concentration alleviation via level set method , 2013 .

[31]  Erik Holmberg,et al.  Stress constrained topology optimization , 2013, Structural and Multidisciplinary Optimization.

[32]  Introduction to Solid Mechanics: An Integrated Approach , 2013 .

[33]  Gengdong Cheng,et al.  Novel implementation of homogenization method to predict effective properties of periodic materials , 2013 .

[34]  Damiano Pasini,et al.  Mechanical properties of lattice materials via asymptotic homogenization and comparison with alternative homogenization methods , 2013 .

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

[36]  P. Breitkopf,et al.  A reduced multiscale model for nonlinear structural topology optimization , 2014 .

[37]  Xu Guo,et al.  Stress-related topology optimization of continuum structures involving multi-phase materials , 2014 .

[38]  David W. Rosen,et al.  Design for Additive Manufacturing , 2015, Additive Manufacturing Technologies.

[39]  T. Kanit,et al.  A computational homogenization of random porous media: Effect of void shape and void content on the overall yield surface , 2015 .

[40]  Charlie C. L. Wang,et al.  The status, challenges, and future of additive manufacturing in engineering , 2015, Comput. Aided Des..

[41]  Albert C. To,et al.  Efficient Design-Optimization of Variable-Density Hexagonal Cellular Structure by Additive Manufacturing: Theory and Validation , 2015 .

[42]  R. Pucha,et al.  Computational homogenization in RVE models with material periodic conditions for CNT polymer composites , 2016 .

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

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

[45]  James K. Guest,et al.  Topology optimization considering overhang constraints: Eliminating sacrificial support material in additive manufacturing through design , 2016 .

[46]  Lin Cheng,et al.  Efficient design optimization of variable-density cellular structures for additive manufacturing: theory and experimental validation , 2017 .

[47]  Xu Guo,et al.  Gurtin-Murdoch surface elasticity theory revisit: An orbital-free density functional theory perspective , 2017 .

[48]  Jie Yang,et al.  Optimal microstructures of elastoplastic cellular materials under various macroscopic strains , 2017 .

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

[50]  K. Maute,et al.  Stress-based topology optimization using spatial gradient stabilized XFEM , 2017 .

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

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

[53]  Jianhua Zhou,et al.  Structural Topology Optimization Through Explicit Boundary Evolution , 2017 .

[54]  I. Ashcroft,et al.  Compressive failure modes and energy absorption in additively manufactured double gyroid lattices , 2017 .

[55]  Stephen J. Ludwick,et al.  Natural frequency optimization of 3D printed variable-density honeycomb structure via a homogenization-based approach , 2017 .

[56]  Lin Cheng,et al.  Concurrent lattice infill with feature evolution optimization for additive manufactured heat conduction design , 2018 .

[57]  Lin Cheng,et al.  Coupling lattice structure topology optimization with design-dependent feature evolution for additive manufactured heat conduction design , 2018 .

[58]  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.

[59]  Lin Cheng,et al.  Design, testing, and mechanical behavior of additively manufactured casing with optimized lattice structure , 2018, Additive Manufacturing.

[60]  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.