Full analytical sensitivities in NURBS based isogeometric shape optimization

By Xiaoping Qian. 2010

286 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/d8503497be862435899ce420468613b38f15a826

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Citations in the corpus

Isogeometric boundary element analysis using unstructured T-splines (2013, methodology): “A small sampling includes fluids and turbulence [5, 6, 7, 8], fluid-structure interaction [9, 10, 11, 12], incompressibility [13, 14, 15], structural and vibration analysis [16, 3], plates and shells [17, 18, 19, 20, 21], phase-field analysis [22, 23, 24], large deformation structural analysis with ”
Implementation of regularized isogeometric boundary element methods for gradient‐based shape optimization in two‐dimensional linear elasticity (2016, methodology): “Our work is different in the following aspects: (1) The approach proposed by [51] in isogeometric finite element methods to separate the geometry representation and the field variable representation were incorporated, which can increase the analysis accuracy with a refined mesh, but limit the number”
Simulation Methods for Guided Wave-Based Structural Health Monitoring: A Review (2015, methodology): “Not only is the exchange between the FE software and the CAD software improved, but also the exact CAD geometry is used for the optimization [202].”
Geometrically nonlinear analysis of functionally graded plates using isogeometric analysis (2015, background): “, 2010), structural shape optimization (Qian, 2010), damage and fracture mechanics (Verhoosel et al.”
Topology optimization in B-spline space (2013, methodology): “It is also worth noting that, although the use of B-splines for density parametrization has not been explored much in topology optimization, in shape optimization the use of B-splines to avoid shape oscillation and to ensure existence of solution has been used as early as 1980s [26], and as recent a”
Local refinement of analysis-suitable T-splines (2012, methodology): “Areas of application of NURBS-based isogeometric analysis include turbulence [5, 6, 7, 8], fluidstructure interaction [9, 10, 11, 12], incompressibility [13, 14, 15], structural analysis [16, 3], plates and shells [17, 18, 19, 20, 21], phase-field analysis [22, 23], large deformation with mesh disto”
Isogeometric Shape Optimization of Vibrating Membranes (2011, methodology): “…of combining the eﬃciency of the computations on a ﬁxed grid with the demand of a direct CAD-like parametrization of the boundary within the shape optimization framework is utilizing isogeometric analysis (IGA) for numerically solving the equations governing a given engineering system [6–13].”
Bounding the influence of domain parameterization and knot spacing on numerical stability in Isogeometric Analysis (2014, methodology): “In [23] [24] [25] [26] the authors discuss various methods for shape optimization of different domains .”
Isogeometric analysis: An overview and computer implementation aspects (2012, background): “IGA has also shown advantages over traditional approaches in the context of optimization problems, [79, 100, 101, 145] where the tight coupling with CAD models offers an extremely attractive approach for industrial applications.”