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

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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. © 2003 Elsevier Ltd. All rights reserved.

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Pradeilles Duval, R. M. (2004). Quasi-static evolution of delaminated structures: Analysis of stability and bifurcation. International Journal of Solids and Structures, 41(1), 103–130. https://doi.org/10.1016/j.ijsolstr.2003.07.006

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