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IGA
IGA
Autore Bouclier Robin
Pubbl/distr/stampa Newark : , : John Wiley & Sons, Incorporated, , 2023
Descrizione fisica 1 online resource (230 pages)
Altri autori (Persone) PassieuxJean-Charles
ISBN 1-394-22963-1
1-394-22961-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Chapter 1. IGA: A Projection of FEM onto a Powerful Reduced Basis -- 1.1. Introduction -- 1.2. Some necessary elements for B-spline andNURBS-based IGA -- 1.2.1.B-spline andNURBS basics -- 1.2.2. k-refinement: increasing both the polynomial degree and the regularity -- 1.2.3. The trimming concept and analysis-suitable model issue -- 1.3.The link between IGAandFEM -- 1.3.1.TheBézier extraction -- 1.3.2.TheLagrangeextraction -- 1.3.3.The extractionin case ofNURBS -- 1.4. Non-invasive implementation using a global bridge between IGA andFEM -- 1.4.1.The commonpractice -- 1.4.2. A fully non-invasive implementation scheme -- 1.5.Numerical experiments -- 1.5.1. Simple but illustrative examples -- 1.5.2. An example of non-invasive nonlinear isogeometric analysis -- 1.6.Summaryand discussion -- 1.7.References -- Chapter 2. Non-invasive Global/Local Hybrid IGA/FEM Coupling -- 2.1. Introduction -- 2.2. Origin of non-invasiveness: a need for industry -- 2.2.1.Several scales of interest -- 2.2.2. Typical coupling techniques in the industry -- 2.2.3. A non-invasive approach as a remedy -- 2.3. General formulation of the coupling and iterative solution -- 2.3.1.Governingequations -- 2.3.2.Weak form and monolithic approach -- 2.3.3.Non-invasiveiterative approach -- 2.4. Interest for the local enrichment of isogeometric models -- 2.4.1. General global-IGA/local-FEM modeling -- 2.4.2.Challenges and implementationissues -- 2.5. Fully non-invasive global-IGA/local-FEM analysis -- 2.5.1. Foundation: non-invasive, non-conforming global/local FEM -- 2.5.2. Extension for the non-invasive hybrid global-IGA/local-FEM coupling -- 2.6.Summaryand discussion -- 2.7.References -- Chapter 3. Non-invasive Spline-based Regularization of FE Digital Image Correlation Problems -- 3.1. Brief introduction.
3.2. An introduction to the general field of FE-DIC from a numerical point ofview -- 3.2.1. FE-DIC: towards an intimate coupling between measurements and simulations -- 3.2.2. Formulation of DIC: a nonlinear least-squares problem -- 3.2.3.SolutionofDIC: descent algorithms -- 3.2.4.Extensionto stereo-DIC -- 3.2.5.Standardregularizationin FE-DIC -- 3.3. Multilevel and non-invasive CAD-based shape measurement -- 3.3.1. Inspiration: structural shape optimization -- 3.3.2. The proposed multilevel geometric and non-invasive scheme -- 3.3.3. Validation through a real example -- 3.3.4.Summaryand discussion -- 3.4.AsplineFFD-based regularizationforFE-DIC -- 3.4.1. The FFD-DIC methodology -- 3.4.2. Application for the displacement measurement of a 2D beam -- 3.4.3. Application to mesh-based shape measurement -- 3.4.4.Summaryand discussion -- 3.5.References -- Index -- EULA.
Record Nr. UNINA-9910831098103321
Bouclier Robin  
Newark : , : John Wiley & Sons, Incorporated, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
IGA
IGA
Autore Bouclier Robin
Pubbl/distr/stampa Newark : , : John Wiley & Sons, Incorporated, , 2023
Descrizione fisica 1 online resource (230 pages)
Disciplina 518/.25
Altri autori (Persone) PassieuxJean-Charles
Soggetto topico Isogeometric analysis
Finite element method - Data processing
ISBN 1-394-22963-1
1-394-22961-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Chapter 1. IGA: A Projection of FEM onto a Powerful Reduced Basis -- 1.1. Introduction -- 1.2. Some necessary elements for B-spline andNURBS-based IGA -- 1.2.1.B-spline andNURBS basics -- 1.2.2. k-refinement: increasing both the polynomial degree and the regularity -- 1.2.3. The trimming concept and analysis-suitable model issue -- 1.3.The link between IGAandFEM -- 1.3.1.TheBézier extraction -- 1.3.2.TheLagrangeextraction -- 1.3.3.The extractionin case ofNURBS -- 1.4. Non-invasive implementation using a global bridge between IGA andFEM -- 1.4.1.The commonpractice -- 1.4.2. A fully non-invasive implementation scheme -- 1.5.Numerical experiments -- 1.5.1. Simple but illustrative examples -- 1.5.2. An example of non-invasive nonlinear isogeometric analysis -- 1.6.Summaryand discussion -- 1.7.References -- Chapter 2. Non-invasive Global/Local Hybrid IGA/FEM Coupling -- 2.1. Introduction -- 2.2. Origin of non-invasiveness: a need for industry -- 2.2.1.Several scales of interest -- 2.2.2. Typical coupling techniques in the industry -- 2.2.3. A non-invasive approach as a remedy -- 2.3. General formulation of the coupling and iterative solution -- 2.3.1.Governingequations -- 2.3.2.Weak form and monolithic approach -- 2.3.3.Non-invasiveiterative approach -- 2.4. Interest for the local enrichment of isogeometric models -- 2.4.1. General global-IGA/local-FEM modeling -- 2.4.2.Challenges and implementationissues -- 2.5. Fully non-invasive global-IGA/local-FEM analysis -- 2.5.1. Foundation: non-invasive, non-conforming global/local FEM -- 2.5.2. Extension for the non-invasive hybrid global-IGA/local-FEM coupling -- 2.6.Summaryand discussion -- 2.7.References -- Chapter 3. Non-invasive Spline-based Regularization of FE Digital Image Correlation Problems -- 3.1. Brief introduction.
3.2. An introduction to the general field of FE-DIC from a numerical point ofview -- 3.2.1. FE-DIC: towards an intimate coupling between measurements and simulations -- 3.2.2. Formulation of DIC: a nonlinear least-squares problem -- 3.2.3.SolutionofDIC: descent algorithms -- 3.2.4.Extensionto stereo-DIC -- 3.2.5.Standardregularizationin FE-DIC -- 3.3. Multilevel and non-invasive CAD-based shape measurement -- 3.3.1. Inspiration: structural shape optimization -- 3.3.2. The proposed multilevel geometric and non-invasive scheme -- 3.3.3. Validation through a real example -- 3.3.4.Summaryand discussion -- 3.4.AsplineFFD-based regularizationforFE-DIC -- 3.4.1. The FFD-DIC methodology -- 3.4.2. Application for the displacement measurement of a 2D beam -- 3.4.3. Application to mesh-based shape measurement -- 3.4.4.Summaryand discussion -- 3.5.References -- Index -- EULA.
Record Nr. UNINA-9910877864403321
Bouclier Robin  
Newark : , : John Wiley & Sons, Incorporated, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Iga : non-conforming coupling and shape optimization of complex multipatch structures / / Robin Bouclier and Thibaut Hirschler
Iga : non-conforming coupling and shape optimization of complex multipatch structures / / Robin Bouclier and Thibaut Hirschler
Autore Bouclier Robin
Pubbl/distr/stampa Hoboken, New Jersey : , : John Wiley & Sons, Inc., , [2022]
Descrizione fisica 1 online resource (254 pages)
Disciplina 620.1064
Soggetto topico Multiphase flow
Adaptive signal processing
ISBN 1-119-98855-1
1-119-98853-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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 -- 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 -- 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 -- 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 -- 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 -- 4.3.2. DD computation of the sensitivities -- 4.3.3. Non-design parts -- 4.3.4. Fast re-analysis -- 4.3.5. Optimization algorithm -- 4.4. Innovative design of multipatch structures: focus on aeronautical stiffened panels -- 4.4.1. Geometric modeling: embedded entities -- 4.4.2. Analysis: an embedded Kirchhoff-Love shell element -- 4.4.3. Two preliminary examples to illustrate the designcapabilities -- 4.5. Application to solid structures and first interests -- 4.5.1. Simple extension of the method -- 4.5.2. A test case in 2D -- 4.6. Advanced numerical optimization examples -- 4.6.1. Global shell optimization: stiffened roof -- 4.6.2. Local shell optimization: curved wall -- 4.6.3. Designing an aircraft wing-box -- 4.7. Towards the optimal design of structural details within isogeometric patches -- 4.7.1. A simple but instructive test case.
4.7.2. Unify the non-invasive global/local approach and the optimization of local details -- 4.7.3. Preliminary results and perspectives -- 4.8. Summary and discussion -- References -- Index -- Other titles from iSTE in Numerical Methods in Engineering -- EULA.
Record Nr. UNINA-9910580255603321
Bouclier Robin  
Hoboken, New Jersey : , : John Wiley & Sons, Inc., , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Iga : non-conforming coupling and shape optimization of complex multipatch structures / / Robin Bouclier and Thibaut Hirschler
Iga : non-conforming coupling and shape optimization of complex multipatch structures / / Robin Bouclier and Thibaut Hirschler
Autore Bouclier Robin
Pubbl/distr/stampa Hoboken, New Jersey : , : John Wiley & Sons, Inc., , [2022]
Descrizione fisica 1 online resource (254 pages)
Disciplina 620.1064
Soggetto topico Multiphase flow
Adaptive signal processing
ISBN 1-119-98854-3
1-119-98855-1
1-119-98853-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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 -- 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 -- 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 -- 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 -- 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 -- 4.3.2. DD computation of the sensitivities -- 4.3.3. Non-design parts -- 4.3.4. Fast re-analysis -- 4.3.5. Optimization algorithm -- 4.4. Innovative design of multipatch structures: focus on aeronautical stiffened panels -- 4.4.1. Geometric modeling: embedded entities -- 4.4.2. Analysis: an embedded Kirchhoff-Love shell element -- 4.4.3. Two preliminary examples to illustrate the designcapabilities -- 4.5. Application to solid structures and first interests -- 4.5.1. Simple extension of the method -- 4.5.2. A test case in 2D -- 4.6. Advanced numerical optimization examples -- 4.6.1. Global shell optimization: stiffened roof -- 4.6.2. Local shell optimization: curved wall -- 4.6.3. Designing an aircraft wing-box -- 4.7. Towards the optimal design of structural details within isogeometric patches -- 4.7.1. A simple but instructive test case.
4.7.2. Unify the non-invasive global/local approach and the optimization of local details -- 4.7.3. Preliminary results and perspectives -- 4.8. Summary and discussion -- References -- Index -- Other titles from iSTE in Numerical Methods in Engineering -- EULA.
Record Nr. UNINA-9910830848903321
Bouclier Robin  
Hoboken, New Jersey : , : John Wiley & Sons, Inc., , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui