engleski

A multi-layer beam finite element for mixed-mode delamination in 2D beams

A 2D finite element formulation for a multi- layer beam with an arbitrary number of layers with interconnection which allows for mixed-mode delamination is presented. The layers are modelled as linear beams, while interface elements with embedded cohesive zone model are used for the interconnection. The only basic unknown functions of the system are two components of the displacement vector and one cross-sectional rotation per layer. A bi-linear constitutive law for single delamination mode and a mixed-mode damage evolution law are used to model damage at the interconnection. Sharp snap-backs in the force- displacements diagram, which appear as an artefact of the numerical integration, are handled with the modified arc-length method in the solution procedure. The present model is successfully verified against commonly used models which use 2D plane-strain finite elements for the bulk material as well as against the analytical solutions on various numerical examples from the literature.

multi-layer beam; mixed-mode delamination; damage; non-linear analysis; modified arc-length method

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