A modified secant formulation to predict the overall behavior of elasto-viscoplastic particulate composites

Autor: Mihail Garajeu, Renaud Masson, Jules Fauque, Mohamed El Bachir Seck
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), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), The authors acknowledge the financial support of the French Alternative Energies and Atomic Energy Commission (CEA), Aix Marseille Université (AMU) and the National Center for Scientific Research (CNRS) via Grant CEA-AMU-CNRS 4251., MISTRAL-Lab, Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Materials science
Differential equation
Second-order moments
02 engineering and technology
[SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]
01 natural sciences
Viscoelasticity
010305 fluids & plasmas
FFT calculations
[SPI.MAT]Engineering Sciences [physics]/Materials
Stress (mechanics)
Hashin-Shtrikman
[PHYS.MECA.STRU]Physics [physics]/Mechanics [physics]/Structural mechanics [physics.class-ph]
Nonlinear viscoelasticity
0103 physical sciences
[SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph]
Composite material
Viscoplasticity
Mechanical Engineering
Isotropy
[PHYS.MECA]Physics [physics]/Mechanics [physics]
Strain rate
Pure shear
[PHYS.MECA.MSMECA]Physics [physics]/Mechanics [physics]/Materials and structures in mechanics [physics.class-ph]
021001 nanoscience & nanotechnology
Condensed Matter Physics
Elasto-viscoplasticity
Nonlinear system
Two-phase composites
Mechanics of Materials
Stress-free strain
0210 nano-technology
Zdroj: Journal of the Mechanics and Physics of Solids
Journal of the Mechanics and Physics of Solids, Elsevier, In press, 137, pp.103874. ⟨10.1016/j.jmps.2020.103874⟩
Journal of the Mechanics and Physics of Solids, inPress, 137, pp.103874. ⟨10.1016/j.jmps.2020.103874⟩
Journal of the Mechanics and Physics of Solids, In press, 137, pp.103874. ⟨10.1016/j.jmps.2020.103874⟩
ISSN: 0022-5096
DOI: 10.1016/j.jmps.2020.103874⟩
Popis: To model the mechanical response of rate-dependent elasto-viscoplastic (or equivalently nonlinear viscoelastic) particulate composites, the proposed approach consists in linearizing the (nonlinear) relation between the viscous strain rate and the stress. To obtain a tractable problem, the linearized properties (viscous modulus, stress-free strain rate) are chosen uniform per phase: in each phase, they are computed for reference stresses per phase. Thus, we obtain a fictitious linear viscoelastic solid whose microstructure is the same as the previous one and submitted to additional uniform stress-free strains per phase. For two-phases isotropic particulate composites, this general formulation associated to Hashin–Shtrikman estimates of the above-mentioned fictitious linear viscoelastic solid yields closed-form expressions of the time evolution of the effective behavior as well as phase-averaged mechanical fields expressed as a set of nonlinear first-order differential equations. Since the linearized properties in the matrix phase are based on the second-order moment of the stress field, these estimates coincides with the upper bound (Ponte Castaneda, 1992) in the purely viscoplastic regime. These estimates are also consistent with the one given for non aging linear viscoelastic composites (correspondence principle). Finally, full-field computations are used to asses the quality of these estimates for various loading conditions varying from a pure shear to a pure differential swelling loading for moderate to highly contrasted behaviors and including non monotonic and non radial effects.
Databáze: OpenAIRE
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