IGA - Robin Bouclier

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      1  Cover

      2  Title Page

      3  Copyright

      4  Preface P.1. The book series P.2. The present volume P.3. Acknowledgments

      5  1 Introduction to IGA: Key Ingredients for the Analysis and Optimization of Complex Structures 1.1. Brief introduction 1.2. Geometric modeling and simulation with splines 1.3. Improved CAD-CAE integration for robust optimization 1.4. The analysis-suitable model issue 1.5. Computation of non-conforming interfaces: a brief overview of usual weak coupling methods

      6  2 Non-invasive Coupling for Flexible Global/Local IGA 2.1. Brief introduction 2.2. The standard non-invasive strategy 2.3. Interest in the field of IGA 2.4. A robust algorithm for non-conforming global/local IGA 2.5. Summary and discussion

      7  3 Domain Decomposition Solvers for Efficient Multipatch IGA 3.1. Introduction 3.2. Benefiting from the additional Lagrange multiplier field for multipatch analysis 3.3. Case of multipatch Kirchhoff–Love shell analysis 3.4. On the construction of dual domain decomposition solvers 3.5. Numerical investigation of the developed algorithms 3.6. Summary and discussion

      8  4 Isogeometric Shape Optimization of Multipatch and Complex Structures 4.1. Introduction 4.2. Isogeometric shape optimization framework 4.3. Unify the DD approach and multipatch optimization: towards ultimate efficiency 4.4. Innovative design of multipatch structures: focus on aeronautical stiffened panels 4.5. Application to solid structures and first interests 4.6. Advanced numerical optimization examples 4.7. Towards the optimal design of structural details within isogeometric patches 4.8. Summary and discussion

      9  References

      10  Index

      11  Wiley End User License Agreement

      List of Tables

      1 Chapter 1Table 2.1. Meshes considered to study the convergence behavior with respect to m...

      2 Chapter 3Table 3.1. The preconditioned conjugate projected gradient algorithm with reorth...Table 3.2. Performance study for the homogeneous cantilever beam problem describ...Table 3.3. Performance study for the heterogeneous beam problem described in Fig...Table 3.4. Performance study for the bending plate problem described in Figure 3...Table 3.5. Performance study for the Scordelis–Lo roof shell problem described i...Table 3.6. Performance study for the stiffened panel problem described in Figure...

      3 Chapter 4Table 4.1. Performance study for the wing problem

      List of Illustrations

      1 PrefaceFigure P.1. Innovative stiffened structures with curvilinear stiffeners: (a) fro...

      2 Chapter 1Figure 1.1. Two simple planar curvesFigure 1.2. Two simple (surface and volume) geometric objectsFigure 1.3. Quadratic B-spline curve with

Figure 1.4. Quadratic B-spline curve with a non-uniform knot-vector. The initial...Figure 1.5. Examples of B-spline basis functions of different degrees. The same ...Figure 1.6. Differentiability of cubic B-spline functions in the case of a unifo...Figure 1.7. An example of a NURBS curve: influence of the weights on the basis f...Figure 1.8. Example of bivariate B-spline basis functions. The lower continuity ...Figure 1.9. Example of a free-form surface described with a cubic B-spline surfa...Figure 1.10. Example of a hollow cylinder described with a quadratic NURBS volum...Figure 1.11. Refinement procedures applied to a B-spline curveFigure 1.12. Example of shape modification by altering the spatial location of t...Figure 1.13. The original motivation of IGA is to improve engineering design and...Figure 1.14. Engineering systems: each engineer has their own vision and require...Figure 1.15. Main steps for shape optimization (inspired from Bletzinger (2014))...Figure 1.16. Illustration of the trimming concept on a simple example of a plate...Figure

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