A finite element unified formulation for composite laminates in bending considering progressive damage

Funding Information: The authors would like to thank CNPq (processes 428591/2016-7 and 310656/2018-4 ) and CAPES (Finance Code 001). Volnei Tita acknowledges the financial support of the Sao Paulo Research Foundation (FAPESP process number: 2019/15179-2 ). J.H.S. Almeida Jr. is supported by the Royal Academy of Engineering, United Kingdom under the Research Fellowship scheme [Grant No. RF/201920/19/150 ]. Publisher Copyright: © 2022 The Authors This works proposes a novel approach to develop higher-order finite elements by taking progressive damage into account in the formulation. The approach is based on Carrera's unified formulation (CUF) while the damage model is based on continuum damage mechanics (CDM) principles, which is implemented as a UEL (User Element subroutine) written in FORTRAN and linked to Abaqus. The approach is assessed by simulating a plate under distributed and sinusoidal loads. Besides, a progressive damage analysis of a composite coupon under three-point bending is simulated, and the numerical predictions are compared against experimental results, showing good correlation. The main findings show that the implemented UEL is accurate and fast enough to predict progressive failure events and the in-plane damage mechanisms for composite laminates under bending loadings.