Energetic approach for a sliding inclusion accounting for plastic dissipation at the interface, application to phase nucleation

Joffrey Bluthé (1) , Daniel Weisz-Patrault (2) , Alain Ehrlacher (3)

1 navier umr 8205 - Laboratoire Navier
2 LMS - Laboratoire de mécanique des solides
3 msa - Matériaux et Structures Architecturés

The energy gained at the atomic scale by modifying the crystal lattice during phase nu-cleation is an important aspect to study solid-solid phase transitions. However at the scale of continuum mechanics, the eigenstrain introduced by the geometrical transformation in the newly formed phase is also a significant issue. Indeed, it is responsible for very large elastic energy and dissipation that have to be added to the total energy in order to determine if a phase transition can occur. The eigenstrain can cause sliding of the newly formed grain. In this paper, an analytical solution coupled with numerical energetic optimization is derived to solve the problem of a two-dimensional circular elastic sliding inclusion authorizing plastic dissipation at the interface. Numerical calculations under plane stress assumption show that dissipation enables an effective decrease in the energy needed for the phase transformation to occur. The solution is validated with a comparison with a Finite Element simulation.

Mots clés: Phase transition; Plastic dissipation; Elastic energy; Energetic approach; Sliding inclusion; Eigenstrain

Domaines: Mécanique des matériaux [physics.class-ph]

Joffrey Bluthé, Daniel Weisz-Patrault, Alain Ehrlacher. Energetic approach for a sliding inclusion accounting for plastic dissipation at the interface, application to phase nucleation. International Journal of Solids and Structures, 2017, 121, pp.163-173. ⟨10.1016/j.ijsolstr.2017.05.023⟩. ⟨hal-01685374⟩