LaTIn method with IsoGeometric Analysis for non-linear simulations with multiple non-conforming contact interfaces
In: 11th International Conference on IsoGeometric Analysis 2023 (IGA 2023) ; https://hal.science/hal-04145484 ; 11th International Conference on IsoGeometric Analysis 2023 (IGA 2023), Jun 2023, Lyon, France, 2023
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Zugriff:
International audience ; With the development of volume imaging techniques, mechanical models of a material at the microstructure scale can be created from 3D images of a sample. However, the computation of the image-based models still seems unattainable for real mechanical applications. Indeed, these models are associated with massive data and need to incorporate complex constitutive behaviours. The aim of this work is to develop an efficient numerical approach for the computation of solids with multiple non-linear, non-conforming interfaces (contact or delamination). In particular, the simulation of fibre-reinforced composite materials is of interest.To tackle the geometrical complexity of such multiphase objects, IsoGeometric Analysis (IGA) is used together with immersed boundary approaches. This allows to avoid the delicate meshing phase of such geometrically complex objects and to obtain a better per-degree-of-freedom accuracy through the use of the spline smooth basis functions. Since the non-linearities are located at the interfaces, our purpose is to also take advantage of the so-called Large Time Increment (LaTIn) method. Here, the LaTIn method separates the non-linear local (i.e. related to the interfaces) and the global linear (i.e. related to the bulk) equations and applies an iterative scheme between both. LaTin-based solvers have recently been applied, for instance, with a FE immersed approach (CutFEM), to model multiple contacts. The present work extends the LaTIn to higher-order immersed IGA. The non-conforming coupling is treated by means of Nitsche’s approach which has shown optimal convergence behaviour, in particular for global/local analysis.In the proposed method, two conformal layers are built on the matrix/fibre interface, thus separating the difficulties regarding non-linearity and non-conformity. The layers are coupled by the LaTIn method, taking into account the non-linear behaviour. Then, they are coupled through Nitsche’s method with the geometrically simple non-conforming matrix or ...
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LaTIn method with IsoGeometric Analysis for non-linear simulations with multiple non-conforming contact interfaces
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Autor/in / Beteiligte Person: | Lapina, Evgeniia ; Oumaziz, Paul ; Bouclier, Robin ; Institut Clément Ader (ICA) ; Institut Supérieur de l'Aéronautique et de l'Espace (ISAE-SUPAERO)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse) ; Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3) ; Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-IMT École nationale supérieure des Mines d'Albi-Carmaux (IMT Mines Albi) ; Institut Mines-Télécom Paris (IMT)-Institut Mines-Télécom Paris (IMT) ; Institut de Mathématiques de Toulouse UMR5219 (IMT) ; Université Toulouse Capitole (UT Capitole) ; Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse) ; Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J) ; Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3) ; Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS) |
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Zeitschrift: | 11th International Conference on IsoGeometric Analysis 2023 (IGA 2023) ; https://hal.science/hal-04145484 ; 11th International Conference on IsoGeometric Analysis 2023 (IGA 2023), Jun 2023, Lyon, France, 2023 |
Veröffentlichung: | HAL CCSD, 2023 |
Medientyp: | Konferenz |
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