engleski

Mixed-mode delamination in 2D layered beam finite elements

In this work a 2D finite element formulation for a multi-layer beam with arbitrary number of layers with interconnection which allows for mixed-delamination is presented. The layers are modelled as linear beams, while interface elements with embedded cohesive zone model are used for the interconnection. Since the interface elements are sandwiched between beam nite elements and attached to their nodes, the only basic unknown functions of the system are two components of the displacement vector and a cross-sectional rotation per layer. Damage in the interface is modelled via a bi-linear constitutive law. Since in a numerical integration procedure it occurs only in discrete integration points (i.e. not continuously), the solution procedure experiences sharp snapbacks in the force-displacements diagram. A modified arc-length method is used to solve this problem. The present model is verified against commonly used models which use 2D plane-strain finite elements for the bulk material. Various numerical examples show that the multi-layer beam model presented gives accurate results using significantly less degrees of freedom in comparison with standard models from the literature.

multi-layer beam; mixed-mode delamination; damage; finite element analysis; modified arc-length

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