Abstract

Wave propagation in a delaminated composite beam is investigated using the wavelet spectral finite element (WSFE) method. WSFE-based elements are implemented in Abaqus® through the user-defined element (UEL) option. Since Abaqus® operations can use real values only, all complex numbers in WSFE model are decoupled into real and imaginary parts and their real numbers are used in the computations. Final solution is obtained by forming a complex value using the two real number solutions. For modeling delamination, a beam is divided into two base-laminates (for parts of the beam without delamination) and two sub-laminates covering the delamination zone. Multi-point constraint (MPC) subroutine in Abaqus® is used to define the displacement relation between nodes of these four parts of the delaminated beam. Wave motion predicted by the UEL is validated with 2D finite element method (FEM) analysis using Abaqus®. The developed UEL largely retains computational efficiency of the WSFE method and extends its ability to model complex features (such as a delamination).

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