Simple, accurate surrogate models of the elastic response of three-dimensional open truss micro-architectures with applications to multiscale topology design
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Daniel A. White | Daniel A. Tortorelli | William Arrighi | Seth Watts | Jun Kudo | D. White | D. Tortorelli | Junpei Kudo | S. Watts | W. Arrighi
[1] Ole Sigmund,et al. On the Design of Compliant Mechanisms Using Topology Optimization , 1997 .
[2] J. Petersson,et al. Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima , 1998 .
[3] Gilles A. Francfort,et al. Homogenization and optimal bounds in linear elasticity , 1986 .
[4] David W. Rosen,et al. An Improved Size, Matching, and Scaling Method for the Design of Deterministic Mesoscale Truss Structures , 2011 .
[5] Liang Gao,et al. Integrated design of cellular composites using a level-set topology optimization method , 2016 .
[6] Daniel A. Tortorelli,et al. Nonlinear structural design using multiscale topology optimization. Part I: Static formulation , 2013 .
[7] Daniel A. Tortorelli,et al. A geometric projection method for designing three‐dimensional open lattices with inverse homogenization , 2017 .
[8] Stephen C. Cowin,et al. Anisotropic Symmetries of Linear Elasticity , 1995 .
[9] David Rosen,et al. Design of truss-like cellular structures using relative density mapping method , 2015 .
[10] M. Messner,et al. Wave propagation in equivalent continuums representing truss lattice materials , 2015 .
[11] D. Tortorelli,et al. An n‐material thresholding method for improving integerness of solutions in topology optimization , 2016 .
[12] K. Svanberg,et al. An alternative interpolation scheme for minimum compliance topology optimization , 2001 .
[13] M. Ashby,et al. Effective properties of the octet-truss lattice material , 2001 .
[14] Howon Lee,et al. Ultralight, ultrastiff mechanical metamaterials , 2014, Science.
[15] G. Allaire,et al. Structural optimization using sensitivity analysis and a level-set method , 2004 .
[16] M. Bendsøe,et al. Generating optimal topologies in structural design using a homogenization method , 1988 .
[17] Kurt Maute,et al. Design of Piezoelectric Energy Harvesting Systems: A Topology Optimization Approach Based on Multilayer Plates and Shells , 2009 .
[18] James K. Guest,et al. Topology optimization considering overhang constraints: Eliminating sacrificial support material in additive manufacturing through design , 2016 .
[19] Peter D. Dunning,et al. Simultaneous material and structural optimization by multiscale topology optimization , 2016 .
[20] M. Bendsøe,et al. Topology Optimization: "Theory, Methods, And Applications" , 2011 .
[21] Daniel A. White,et al. Multiscale topology optimization using neural network surrogate models , 2019, Computer Methods in Applied Mechanics and Engineering.
[22] Ole Sigmund,et al. On the usefulness of non-gradient approaches in topology optimization , 2011 .
[23] Lin Cheng,et al. Arbitrary void feature control in level set topology optimization , 2017 .
[24] B. Bourdin. Filters in topology optimization , 2001 .
[25] P. Breitkopf,et al. Concurrent topology optimization design of material and structure within FE2 nonlinear multiscale analysis framework , 2014 .
[26] David W. Rosen,et al. Synthesis Methods for Lightweight Lattice Structures , 2009 .
[27] Grégoire Allaire,et al. Introducing a level-set based shape and topology optimization method for the wear of composite materials with geometric constraints , 2017 .
[28] T. E. Bruns,et al. Topology optimization of non-linear elastic structures and compliant mechanisms , 2001 .
[29] Helder C. Rodrigues,et al. A hierarchical model for concurrent material and topology optimisation of three-dimensional structures , 2008 .
[30] Timothy J Horn,et al. Overview of Current Additive Manufacturing Technologies and Selected Applications , 2012, Science progress.
[31] Xiaoming Wang,et al. A level set method for structural topology optimization , 2003 .
[32] A. Bower. Applied Mechanics of Solids , 2009 .
[33] Xiaoming Wang,et al. Color level sets: a multi-phase method for structural topology optimization with multiple materials , 2004 .
[34] S. Shtrikman,et al. A variational approach to the theory of the elastic behaviour of multiphase materials , 1963 .
[35] S. Torquato,et al. Design of materials with extreme thermal expansion using a three-phase topology optimization method , 1997 .
[36] M. Bendsøe,et al. Material interpolation schemes in topology optimization , 1999 .
[37] Ole Sigmund,et al. Giga-voxel computational morphogenesis for structural design , 2017, Nature.
[38] M. Bendsøe. Optimal shape design as a material distribution problem , 1989 .
[39] Krishnan Suresh,et al. Support structure constrained topology optimization for additive manufacturing , 2016, Comput. Aided Des..
[40] M. Messner. Optimal lattice-structured materials , 2016 .
[41] Dirk Mohr,et al. 3D Plate‐Lattices: An Emerging Class of Low‐Density Metamaterial Exhibiting Optimal Isotropic Stiffness , 2018, Advanced materials.
[42] H. Wadley,et al. Mechanical metamaterials at the theoretical limit of isotropic elastic stiffness , 2017, Nature.
[43] Ole Sigmund,et al. A 99 line topology optimization code written in Matlab , 2001 .
[44] C. Zener. Elasticity and anelasticity of metals , 1948 .
[45] G. Allaire,et al. Shape optimization by the homogenization method , 1997 .