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Concurrent Topology Optimization of Functionally Graded Structures Using Repeated-Knot B-Spline Interpolation Strategy

https://doi.org/10.2139/ssrn.5684022
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Two‐scale topology optimization in computational material design: An integrated approach
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Material interpolation schemes for unified topology and multi-material optimization
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A level set shape metamorphosis with mechanical constraints for geometrically graded microstructures
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A novel subdomain level set method for structural topology optimization and its application in graded cellular structure design
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A B-spline multi-parameterization method for multi-material topology optimization of thermoelastic structures
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Self-connected multi-domain topology optimization of structures with multiple dissimilar microstructures
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Topology optimization of multi-scale structures: a review
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Concurrent material and structure optimization of multiphase hierarchical systems within a continuum micromechanics framework
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A new fluid-based strategy for the connection of non-matching lattice materials
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MATLAB codes of the parametrized level set method for structural topology optimization using B-spline’s simple or repeated knots
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Adaptive immersed isogeometric level-set topology optimization
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Design of optimized architected structures with exact size and connectivity via an enhanced multidomain topology optimization strategy
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Topology optimization of functionally graded cellular materials
inferredcites →https://doi.org/10.1007/s11465-019-0532-3openalex-snapshot
Connected morphable components-based multiscale topology optimization
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Materials with prescribed constitutive parameters: An inverse homogenization problem
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On calculating with B-splines
inferredcites →https://doi.org/10.1016/j.addma.2018.12.007openalex-snapshot
Compatibility in microstructural optimization for additive manufacturing
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Parallel computing techniques applied to the simultaneous design of structure and material
inferredcites →https://doi.org/10.1016/j.advengsoft.2025.104021openalex-snapshot
Structural topology optimization considering material anisotropy induced by additive manufacturing processes
inferredcites →https://doi.org/10.1016/j.cma.2015.02.028openalex-snapshot
Topology optimisation of manufacturable microstructural details without length scale separation using a spectral coarse basis preconditioner
inferredcites →https://doi.org/10.1016/j.cma.2016.12.007openalex-snapshot
Concurrent design with connectable graded microstructures
inferredcites →https://doi.org/10.1016/j.cma.2017.11.033openalex-snapshot
Topology optimization for concurrent design of structures with multi-patch microstructures by level sets
inferredcites →https://doi.org/10.1016/j.cma.2018.04.031openalex-snapshot
Buckling strength topology optimization of 2D periodic materials based on linearized bifurcation analysis
inferredcites →https://doi.org/10.1016/j.cma.2018.12.018openalex-snapshot
Concurrent two-scale topological design of multiple unit cells and structure using combined velocity field level set and density model
inferredcites →https://doi.org/10.1016/j.cma.2019.05.029openalex-snapshot
VCUT level set method for topology optimization of functionally graded cellular structures
inferredcites →https://doi.org/10.1016/j.cma.2020.113278openalex-snapshot
An energy-based method for interface connectivity of incompatible microstructures through parametric modeling
inferredcites →https://doi.org/10.1016/j.cma.2023.116490openalex-snapshot
Strength design of porous materials using B-spline based level set method
inferredcites →https://doi.org/10.1016/j.commatsci.2018.08.030openalex-snapshot
Multiscale concurrent topology optimization for cellular structures with multiple microstructures based on ordered SIMP interpolation
inferredcites →https://doi.org/10.1016/j.compstruc.2007.04.030openalex-snapshot
Optimum structure with homogeneous optimum truss-like material
inferredcites →https://doi.org/10.1016/j.compstruct.2024.118186openalex-snapshot
Extended multiscale FEM-based concurrent optimization of three-dimensional graded lattice structures with multiple microstructure configurations
inferredcites →https://doi.org/10.1016/j.ijthermalsci.2022.107653openalex-snapshot
Investigation of concurrent multiscale topology optimization for designing lightweight macrostructure with high thermal conductivity
inferredcites →https://doi.org/10.1080/15376494.2025.2473688openalex-snapshot
Multiscale topology optimization of lattice structures based on parallel multiscale computing
inferredcites →https://doi.org/10.1093/imamat/10.2.134openalex-snapshot
The Numerical Evaluation of B-Splines
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Fast B-spline transforms for continuous image representation and interpolation
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