A projection‐based method for topology optimization of structures with graded surfaces

[1]  Julián A. Norato,et al.  A geometry projection method for the topology optimization of curved plate structures with placement bounds , 2018 .

[2]  Zhenhua Li,et al.  Maximizing the first eigenfrequency of structures subjected to uniform boundary erosion through the level set method , 2018, Engineering with Computers.

[3]  S A Gansky,et al.  Mechanical properties of the dentinoenamel junction: AFM studies of nanohardness, elastic modulus, and fracture. , 2001, Journal of biomedical materials research.

[4]  Kai A. James,et al.  Optimal design of compliant mechanisms using functionally graded materials , 2017 .

[5]  Mattias Schevenels,et al.  Topology optimization with geometric uncertainties by perturbation techniques , 2012 .

[6]  Yi Min Xie,et al.  On the internal architecture of emergent plants , 2018, Journal of the Mechanics and Physics of Solids.

[7]  Erik Andreassen,et al.  On filter boundary conditions in topology optimization , 2017 .

[8]  O. Sigmund,et al.  Minimum length scale in topology optimization by geometric constraints , 2015 .

[9]  Y-D. Lee,et al.  Residual/thermal stresses in FGM and laminated thermal barrier coatings , 1994 .

[10]  Glaucio H. Paulino,et al.  Topology optimization with manufacturing constraints: A unified projection-based approach , 2016, Adv. Eng. Softw..

[11]  Y. S. Zhang,et al.  Size dependence of Young's modulus in ZnO nanowires. , 2006, Physical review letters.

[12]  Ryuzo Watanabe,et al.  Functionally gradient materials. In pursuit of super heat resisting materials for spacecraft. , 1987 .

[13]  O. Sigmund,et al.  Filters in topology optimization based on Helmholtz‐type differential equations , 2011 .

[14]  Gang-Won Jang,et al.  Topology optimization of MEMS considering etching uncertainties using the level‐set method , 2012 .

[15]  Qi Xia,et al.  Simultaneous optimization of the material properties and the topology of functionally graded structures , 2008, Comput. Aided Des..

[16]  Shengli Xu,et al.  Volume preserving nonlinear density filter based on heaviside functions , 2010 .

[17]  T. Shi,et al.  Stable hole nucleation in level set based topology optimization by using the material removal scheme of BESO , 2019, Computer Methods in Applied Mechanics and Engineering.

[18]  Ole Sigmund,et al.  Giga-voxel computational morphogenesis for structural design , 2017, Nature.

[19]  Michael Yu Wang,et al.  Concurrent design with connectable graded microstructures , 2017 .

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

[21]  B. Bourdin.  Filters in topology optimization , 2001 .

[22]  Ole Sigmund,et al.  On projection methods, convergence and robust formulations in topology optimization , 2011, Structural and Multidisciplinary Optimization.

[23]  Devis Bellucci,et al.  Functionally graded materials for orthopedic applications - an update on design and manufacturing. , 2016, Biotechnology advances.

[24]  Grégoire Allaire,et al.  Material interface effects on the topology optimizationof multi-phase structures using a level set method , 2014 .

[25]  Wei Chen,et al.  A new level-set based approach to shape and topology optimization under geometric uncertainty , 2011 .

[26]  M. Peters,et al.  Graded coatings for thermal, wear and corrosion barriers , 2003 .

[27]  Ole Sigmund,et al.  Homogenization-based topology optimization for high-resolution manufacturable micro-structures , 2018 .

[28]  Ole Sigmund,et al.  Manufacturing tolerant topology optimization , 2009 .

[29]  Glaucio H. Paulino,et al.  Design of Functionally Graded Structures Using Topology Optimization , 2005 .

[30]  G. Allaire,et al.  MULTI-PHASE STRUCTURAL OPTIMIZATION VIA A LEVEL SET METHOD ∗, ∗∗ , 2014 .

[31]  Yi Min Xie,et al.  Topology optimization of functionally graded cellular materials , 2013, Journal of Materials Science.

[32]  O. Sigmund,et al.  Topology optimization of coated structures and material interface problems , 2015 .

[33]  Glaucio H. Paulino,et al.  Layout and material gradation in topology optimization of functionally graded structures: a global–local approach , 2010 .

[34]  F. Erdogan,et al.  Contact mechanics of graded coatings , 2004 .

[35]  Georgios Michailidis,et al.  Design of thermoelastic multi-material structures with graded interfaces using topology optimization , 2017, Structural and Multidisciplinary Optimization.

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

[37]  Zhan Kang,et al.  A velocity field level set method for shape and topology optimization , 2018, International Journal for Numerical Methods in Engineering.

[38]  Gengdong Cheng,et al.  Optimum structure with homogeneous optimum truss-like material , 2008 .

[39]  James K. Guest,et al.  Achieving minimum length scale in topology optimization using nodal design variables and projection functions , 2004 .

[40]  S. Sampath,et al.  Functionally graded WC-Co/NiAl HVOF coatings for damage tolerance, wear and corrosion protection , 2012 .

[41]  Ole Sigmund,et al.  Topological design of electromechanical actuators with robustness toward over- and under-etching , 2013 .

[42]  Y. Xie,et al.  Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials , 2009 .

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

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

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

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

[47]  O. Sigmund.  Morphology-based black and white filters for topology optimization , 2007 .

[48]  Michael Yu Wang,et al.  Shape and topology optimization of compliant mechanisms using a parameterization level set method , 2007, J. Comput. Phys..

[49]  M. Swain,et al.  Enamel--a functionally graded natural coating. , 2009, Journal of dentistry.

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

[51]  James K. Guest,et al.  Projection-based two-phase minimum and maximum length scale control in topology optimization , 2018, Structural and Multidisciplinary Optimization.

[52]  Liang Gao,et al.  Topology optimization for functionally graded cellular composites with metamaterials by level sets , 2018 .

[53]  Lei Zhang,et al.  Design of graded lattice structure with optimized mesostructures for additive manufacturing , 2018 .

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

[55]  Ole Sigmund,et al.  Exploiting Additive Manufacturing Infill in Topology Optimization for Improved Buckling Load , 2016 .

[56]  O. Sigmund,et al.  Robust topology optimization accounting for spatially varying manufacturing errors , 2011 .

[57]  S. Suresh,et al.  Graded Materials for Resistance to Contact Deformation and Damage , 2001, Science.

[58]  Mohamed Elbestawi,et al.  Lattice Structures and Functionally Graded Materials Applications in Additive Manufacturing of Orthopedic Implants: A Review , 2017 .

[59]  E. Akinlabi,et al.  Functionally Graded Materials , 2017 .

[60]  Xu Guo,et al.  An explicit length scale control approach in SIMP-based topology optimization , 2014 .

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

[62]  M. Niino,et al.  Overview of FGM Research in Japan , 1995 .