Modeling the effective elastic behavior of composites: a mixed Finite Element and homogenisation approach

Autor: C. Toulemonde, Renaud Masson, Joumana El Gharib
Přispěvatelé: Service d'Etudes de Simulation du Comportement du combustibles (SESC), Département d'Etudes des Combustibles (DEC), CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire) (CEA-DES (ex-DEN)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire) (CEA-DES (ex-DEN)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)
Rok vydání: 2008
Předmět:
Yield (engineering)
Strategy and Management
0211 other engineering and technologies
02 engineering and technology
[SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]
01 natural sciences
Homogenization (chemistry)
[SPI.MAT]Engineering Sciences [physics]/Materials
[PHYS.MECA.STRU]Physics [physics]/Mechanics [physics]/Structural mechanics [physics.class-ph]
Finite element
[SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph]
021105 building & construction
Media Technology
Homogenisation
Béton
General Materials Science
Mécanique des solides numérique
0101 mathematics
Composite material
Microstructure
Sieve curves
Eléments finis
Mathematics
Marketing
Computational solid mechanics
Variational method
[PHYS.MECA.MSMECA]Physics [physics]/Mechanics [physics]/Materials and structures in mechanics [physics.class-ph]
Méthode variationnelle
Finite element method
010101 applied mathematics
Homogénéisation
Solid mechanics
[SPI.MECA.THER]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Thermics [physics.class-ph]
Representative elementary volume
Interphase
Fuseau granulaire
Calculus of variations
RVE
VER
Concrete
Zdroj: Comptes Rendus Mécanique
Comptes Rendus Mécanique, Elsevier, 2008, 336 (3), pp.275-282. ⟨10.1016/j.crme.2007.11.024⟩
Comptes Rendus Mécanique, 2008, 336 (3), pp.275-282. ⟨10.1016/j.crme.2007.11.024⟩
ISSN: 1631-0721
DOI: 10.1016/j.crme.2007.11.024
Popis: To make possible the Finite Element computation of Representative Volume Elements (RVE) of composites with a complex microstructure, we first propose to mesh the volume independently of the considered microstructure. Homogeneous elastic properties are then given to the elements whose behavior is ill-defined (different phases in the same element) while a polarization is homogeneously applied to these so-called ‘interphase elements’ to control the corresponding error. New bounds are derived by optimizing the polarisation. When interphase elements are given extreme elastic properties these bounds yield satisfying results in both cases of a unit cell as well as a concrete RVE. To cite this article: C. Toulemonde et al., C. R. Mecanique 336 (2008).
Databáze: OpenAIRE