Topology optimization using B-spline finite elements

By Ashok V. Kumar, Anand Parthasarathy. 2011

63 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ff7b731f06aada16ff35cd01d27fa560da8a5a1d

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In Civil and Structural Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Isogeometric analysis for parameterized LSM-based structural topology optimization (2016, methodology): “[34] used B-spline finite elements in density-based TO to obtain results that were free from checkerboard artifacts, where a penalization of the density gradient was used to smooth the density and obtain a mesh-independent solution.”
Topology optimization in B-spline space (2013, methodology): “In [24], B-spline finite elements are used in a density based approach to obtain topology that is free from checkerboard.”
Geometrically constrained isogeometric parameterized level-set based topology optimization via trimmed elements (2016, methodology): “Kumar and Parthasarathy [34] used B-spline finite elements in density based TO to obtain results that were free from checkerboarding, where a penalization of density gradient was used to smooth the density and obtain a mesh-independent solution.”
Multiresolution topology optimization using isogeometric analysis (2017, result): “It is worth noting that the optimized topology exhibits highly binary solutions with the indicator M = 0.380 and is quite similar to the result released by Kumar and Parthasarathy.46 Again, the proposed approach shows its effectiveness and robustness in performing the prevalent benchmark tests for c”
Isogeometric Analysis for Topology Optimization with a Phase Field Model (2012, background): “Additionally, B–spline bases are considered in [61] for two–dimensional topology optimization problems.”
A new isogeometric topology optimization using moving morphable components based on R-functions and collocation schemes (2018, methodology): “[50] use B-spline elements to obtain the shape boundaries, since B-spline elements are able to represent the density as tangent continuous and even curvature continuous functions so that the contours of shape boundaries (function of density) have similar continuity and smoothness.”