A comprehensive review of isogeometric topology optimization: methods, applications and prospects
Topology Optimization (TO) is a powerful numerical technique to determine the optimal
material layout in a design domain, which has accepted considerable developments in …
material layout in a design domain, which has accepted considerable developments in …
The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
D Schillinger, M Ruess - Archives of Computational Methods in …, 2015 - Springer
The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …
approach with higher-order finite elements, adaptive integration, and weak enforcement of …
[图书][B] Numerical models for differential problems
A Quarteroni, S Quarteroni - 2009 - Springer
Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD …
We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and
immersed boundary analysis. We use the principle of B-spline subdivision to derive a local …
immersed boundary analysis. We use the principle of B-spline subdivision to derive a local …
Accelerating large-scale topology optimization: state-of-the-art and challenges
S Mukherjee, D Lu, B Raghavan, P Breitkopf… - … Methods in Engineering, 2021 - Springer
Large-scale structural topology optimization has always suffered from prohibitively high
computational costs that have till date hindered its widespread use in industrial design. The …
computational costs that have till date hindered its widespread use in industrial design. The …
Multiscale isogeometric topology optimization for lattice materials
This paper presents isogeometric topology optimization (ITO) for periodic lattice materials,
where non-uniform rational B-spline (NURBS) basis functions of CAD models are directly …
where non-uniform rational B-spline (NURBS) basis functions of CAD models are directly …
Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
We compare isogeometric collocation with isogeometric Galerkin and standard C 0 finite
element methods with respect to the cost of forming the matrix and residual vector, the cost …
element methods with respect to the cost of forming the matrix and residual vector, the cost …
Topology optimization for auxetic metamaterials based on isogeometric analysis
In this paper, an effective and efficient topology optimization method, termed as Isogeometric
Topology Optimization (ITO), is proposed for systematic design of both 2D and 3D auxetic …
Topology Optimization (ITO), is proposed for systematic design of both 2D and 3D auxetic …
Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries
Nitsche's method can be used as a coupling tool for non-matching discretizations by weakly
enforcing interface constraints. We explore the use of weak coupling based on Nitsche's …
enforcing interface constraints. We explore the use of weak coupling based on Nitsche's …
Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods
This paper presents an acoustic topology optimization approach using isogeometric
boundary element methods based on subdivision surfaces to optimize the distribution of …
boundary element methods based on subdivision surfaces to optimize the distribution of …