Three-dimensional FE2 method for the simulation of non-linear, rate-dependent response of composite structures
| Autor: | Francis Praud, Boris Piotrowski, Yves Chemisky, Georges Chatzigeorgiou, El-Hadi Tikarrouchine, Fodil Meraghni |
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| Přispěvatelé: | Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Ecole Militaire Polytechnique [Alger] (EMP), Ministère de l'Enseignement Supérieur et de la Recherche Scientifique [Algérie] (MESRS)-Ministère de la Défense Nationale [Algérie], Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)-Arts et Métiers Sciences et Technologies |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Materials science
Matériaux [Sciences de l'ingénieur] Constitutive equation Composite number composite materials 02 engineering and technology [SPI.MECA.MSMECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph] [SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph] Homogenization (chemistry) ductile damage Microscopic scale [SPI.MAT]Engineering Sciences [physics]/Materials 0203 mechanical engineering [SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph] Multi-scale finite element computation Boundary value problem Mécanique: Mécanique des matériaux [Sciences de l'ingénieur] FE2 method periodic homogenization Civil and Structural Engineering Viscoplasticity Mécanique [Sciences de l'ingénieur] Mécanique: Mécanique des solides [Sciences de l'ingénieur] Mécanique: Matériaux et structures en mécanique [Sciences de l'ingénieur] Mechanics [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] 021001 nanoscience & nanotechnology Finite element method 020303 mechanical engineering & transports Macroscopic scale elastoviscoplastic behavior Ceramics and Composites 0210 nano-technology |
| Zdroj: | Composite Structures Composite Structures, Elsevier, 2018, 193, pp.165-179. ⟨10.1016/j.compstruct.2018.03.072⟩ |
| ISSN: | 0263-8223 |
| DOI: | 10.1016/j.compstruct.2018.03.072⟩ |
| Popis: | International audience; In this paper, a two scale Finite Element method (FE2 ), is presented to predict the non-linear macroscopic response of 3D composite structures with periodic microstructure that exhibit a time-dependent response. The sensitivity to the strain rate requires an homogenization scheme to bridge the scales between the macroscopic boundary conditions applied and the local evaluation of the strain rate. In the present work, the effective response of composite materials where the matrix has a local elasto-viscoplastic behavior with ductile damage are analyzed using periodic homogenization, solving simultaneously finite element problems at the microscopic scale (unit cell) and at the macroscopic scale. This approach can integrate any kind of periodic microstructure with any type of non-linear behavior for the constituents (without the consideration of non-linear geometric effects), allowing to treat complex mechanisms that can occur in every phase and at their interface. The numerical implementation of this simulation strategy has been performed with a parallel computational technique in ABAQUS/Standard,with the implementation of a set of dedicated scripts. The homogenization process is performed using a user-defined constitutive law thatsolve a set full-field non-linear simulations of a Unit Cell and perform the necessary homogenization of the mechanical quantities. The effectiveness of the method is demonstrated with three examples of 3D composite structures with plastic or viscoplastic and ductile damage matrix. In the first example, the numerical results obtained by this full field approach are compared with a semi-analytical solution on elastoplastic multilayer composite structure. The second example investigates the macroscopic response of a complex viscoplastic composite structure with ductile damage and is compared with the mean field Mori-Tanaka method. Finally, 3D corner structure consisting of periodically aligned short fibres composite is analysed under complex loading path. These numerical simulations illustrate the capabilities of the FE2 strategy under non-linear regime, when time dependent constitutive models describe the response of the constituents |
| Databáze: | OpenAIRE |
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