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

Rachel-Marie Pradeilles-Duval (1)

1 LMS - Laboratoire de mécanique des solides

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.

Mots clés: Delamination; Kirchhoff-Love theory; Stability; Bifurcation; Propagation; Plates

Domaines: Mécanique [physics.med-ph]

Rachel-Marie Pradeilles-Duval. Quasi-static evolution of delaminated structures: analysis of stability and bifurcation. International Journal of Solids and Structures, 2004, 41, pp.103-130. ⟨10.1016/j.ijsolstr.2003.07.006⟩. ⟨hal-00111398⟩