Micro‐mechanical Modelling of a Bi‐crystal Lamellar Composite's Behaviour at Large strain: A Double Scaled Transition Method

Nanoscaled lamellar structures involve complex deformation behaviour at finite strain due to the preserve of a large number of interfaces. The aim of the work is to develop a micromechanical approach based on interfacial operators in the context of statistical continuum mechanics. Using Hill's formalism, constitutive equations at mesoscale (1 μm) are derived from Nemat‐Nasser's finite elastic‐plastic deformation model ]3,5[ and solved numerically by a self‐consistent method ]1[. At micro‐scale (O.1 μm), a thermodynamical process may be defined to describe intrinsic hardening mechanism found to be linearly dependent with the interlamellar spacing's inverse ]4[. Specific crystal plasticity of both phases may then be introduced in the micromechanical approach to obtain a double scale model describing global and local behaviour of a pearlitic ilot under an imposed loading.