Three dimensional modeling of progressive damage in fiber reinforced materials base on invariant failure criteria

Fibre reinforced composite (FRC) structures require reliable and economical design. Under monotonic or cyclic loads the stiffness of FRC laminates is reduced. The corresponding analysis is called as the ‘‘progressive failure analysis”. Which includes determining damage initiation and evolution up to structural failures. Several failures criteria of composite laminates have been developed. These criteria have a significant effect on the analytical response of FRC laminates. In this paper a comprehensive review on the general methodologies of the damage constitutive modeling is presented. For the first time, the invariant-based failure criteria for multi-layer materials together with Hashin Two and three-dimensional criteria are implemented and investigated. The analysis is performed by using a constitutive material model (UMAT) developed and implemented in the finite element software ABAQUS. Twelve samples in two groups are used to evaluate failure criteria. The accuracy of numerical results is compared by experimental data taken from literature. The modeling results obtained by using invariant-based failure criteria can predict the experimental data with a maximum error of 5%