| Description |
1 online resource (254 p.) |
| Contents |
Cover -- Half-Title Page -- Title Page -- Copyright Page -- Contents -- Preface -- Chapter 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 -- 1.2.1. Parametric representation of geometries -- 1.2.2. B-spline and NURBS technologies -- 1.2.3. Design features and shape parameterization -- 1.2.4. Spline-based finite element analysis: isogeometric principle -- 1.3. Improved CAD-CAE integration for robust optimization |
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1.3.1. Returning to the original motivations behind IGA -- 1.3.2. An ideal framework for parametric shape optimization -- 1.4. The analysis-suitable model issue -- 1.4.1. The trimming concept -- 1.4.2. Non-conforming multipatch parameterization -- 1.4.3. Imposing shape variation -- 1.5. Computation of non-conforming interfaces: a brief overview of usual weak coupling methods -- 1.5.1. Governing equations -- 1.5.2. Penalty coupling -- 1.5.3. Mortar coupling -- 1.5.4. Nitsche coupling -- Chapter 2. Non-invasive Coupling for Flexible Global/Local IGA -- 2.1. Brief introduction |
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2.2. The standard non-invasive strategy -- 2.2.1. Origin -- 2.2.2. Non-invasive resolution of the coupling problem -- 2.3. Interest in the field of IGA -- 2.3.1. Global/local modeling in IGA -- 2.3.2. Challenges -- 2.4. A robust algorithm for non-conforming global/local IGA -- 2.4.1. Reference formulation: non-symmetric Nitsche coupling -- 2.4.2. A Nitsche-based non-invasive algorithm -- 2.4.3. Validation -- 2.5. Summary and discussion -- Chapter 3. Domain Decomposition Solvers for Efficient Multipatch IGA -- 3.1. Introduction |
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3.2. Benefiting from the additional Lagrange multiplier field for multipatch analysis -- 3.3. Case of multipatch Kirchhoff-Love shell analysis -- 3.3.1. Kirchhoff-Love shell formulation: basics -- 3.3.2. Formulation of the coupled problem -- 3.3.3. Preliminary results: monolithic resolution -- 3.4. On the construction of dual domain decomposition solvers -- 3.4.1. Formulation of the interface problem -- 3.4.2. Solving the interface problem -- 3.4.3. Null space and pseudo-inverse -- 3.4.4. Preconditioning -- 3.5. Numerical investigation of the developed algorithms |
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3.5.1. Standard solid elasticity -- 3.5.2. Heterogeneous plate bending -- 3.5.3. Scordelis-Lo roof -- 3.5.4. Stiffened panel -- 3.6. Summary and discussion -- Chapter 4. Isogeometric Shape Optimization of Multipatch and Complex Structures -- 4.1. Introduction -- 4.2. Isogeometric shape optimization framework -- 4.2.1. Optimization -- 4.2.2. Multilevel design -- 4.2.3. Design variables -- 4.2.4. Formulation and resolution -- 4.3. Unify the DD approach and multipatch optimization: towards ultimate efficiency -- 4.3.1. DD computation of the response functions |
| Notes |
Description based upon print version of record |
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4.3.2. DD computation of the sensitivities |
| Form |
Electronic book
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| Author |
Hirschler, Thibaut
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| ISBN |
9781119988533 |
|
1119988535 |
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