engleski

NON-LINEAR STATIC ANALYSIS OF MULTILAYERED 2D BEAMS WITH VARIOUS CONTACT CONDITIONS BETWEEN LAYERS

In this thesis different aspects of behaviour of layered structures are analysed and numerically modelled using beam finite elements. Three models for the layered beams are presented. All the models are expressed in a general form for an arbitrary number of layers and each layer can have individual geometrical and material properties, boundary conditions and applied loading. The first of them is an analytical model for a multi-layer beam with compliant interconnections. Kinematic and constitutive equations are linear and various interlayer contact conditions are considered (no contact, rigid interconnection, interlayer slip and/or interlayer uplift). The second model is a finite element formulation for geometrically exact multi-layer beams with a rigid interconnection. This model proves to be very efficient for modelling homogeneous structures via multi-layer beams, especially for thick beam-like structures, where cross-sectional warping is more pronounced. The third model deals with mixed-mode delamination in multi-layer beams. A damage-type bi-linear constitutive law for the interconnection is implemented for an interface finite element sandwiched between two layers. Numerical examples are presented for all models and the results of the tests are compared to representative results from the literature.

layered beams; analytical solution; non-linear analysis; mixed-mode delamination

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