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Record Nr. |
UNINA9910831098103321 |
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Autore |
Bouclier Robin |
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Titolo |
IGA |
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Pubbl/distr/stampa |
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Newark : , : John Wiley & Sons, Incorporated, , 2023 |
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©2023 |
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ISBN |
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1-394-22963-1 |
1-394-22961-5 |
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Descrizione fisica |
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1 online resource (230 pages) |
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Altri autori (Persone) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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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. |
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