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Variational upscaling for modeling state of strain-dependent behavior and stress-induced crystallization in rubber-like materials
- Source :
- Continuum Mechanics and Thermodynamics, Continuum Mechanics and Thermodynamics, Springer Verlag, 2020, ⟨10.1007/s00161-020-00954-5⟩, Continuum Mechanics and Thermodynamics, 2020, ⟨10.1007/s00161-020-00954-5⟩
- Publication Year :
- 2020
- Publisher :
- HAL CCSD, 2020.
-
Abstract
- International audience; The purpose of this paper is to present a general upscaling strategy for deriving macroscopic constitutive laws for rubber-like materials from the knowledge of the network distribution and a mechanical description of the individual chains and of their free energy. The microscopic configuration is described by the position of the cross-links and is not obtained by an affine assumption but by minimizing the corresponding free energy on stochastic large representative volume elements with adequate boundary conditions. This general framework is then approximated by using a microsphere (directional) description of the network. It is presented in a global setting and is extended in order to handle situations with tube-like constraints and stress-induced crystallization.
- Subjects :
- Physics
Structural material
General Physics and Astronomy
02 engineering and technology
[SPI.MECA.MSMECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph]
01 natural sciences
010305 fluids & plasmas
law.invention
020303 mechanical engineering & transports
Distribution (mathematics)
0203 mechanical engineering
Natural rubber
Mechanics of Materials
Position (vector)
law
visual_art
0103 physical sciences
visual_art.visual_art_medium
General Materials Science
Affine transformation
Boundary value problem
Statistical physics
Crystallization
Energy (signal processing)
Subjects
Details
- Language :
- English
- ISSN :
- 09351175 and 14320959
- Database :
- OpenAIRE
- Journal :
- Continuum Mechanics and Thermodynamics, Continuum Mechanics and Thermodynamics, Springer Verlag, 2020, ⟨10.1007/s00161-020-00954-5⟩, Continuum Mechanics and Thermodynamics, 2020, ⟨10.1007/s00161-020-00954-5⟩
- Accession number :
- edsair.doi.dedup.....b9ebfd14eb4ed49e4f23a12612e19578