Quasi-static evolution of delaminated structures: analysis of stability and bifurcation

Abstract

Within the framework of dissipative systems with time-independent behavior, the study of the evolution of delaminated structures modeled by frames of plates is considered via a global energetic analysis. Assuming the current equilibrium state is known, the governing rate problem for the instantaneous delamination is formulated as either a system of local equations or as a global variational inequality.This global formulation enables to study stability and non-bifurcation of the evolution of a delaminated structure under quasi-static loading, corresponding to the statement of existence and uniqueness criteria for the rate solution.Two analytical applications to simple structures are presented.

Stability and Bifurcation in Nonlinear Mechanics

“…This framework is used to describe damage or phase transformation. Variational formulations were performed to describe the evolution of the surface between the sound and the damaged material [18][19][20]. Connection with the notion of configurational forces [21] can be investigated.…”