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\(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials. (English) Zbl 0993.74062
Summary: This paper discusses modelling of the behaviour of structures reinforced by long fibre SiC/Ti composite material with a periodic microstructure. A new multiscale behaviour model based on a multilevel finite element \((\text{FE}^2)\) approach is used to take into account heterogeneities in the behaviour between the fibre and matrix. It is shown that combining this model with parallel computation techniques makes it possible to consider realistic composite structural computations yielding a detailed geometric description and constitutive equations giving access to microstructural data, instead of only to phenomenological macroscopic data difficult to correlate with local mechanical state.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
74E30 Composite and mixture properties
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