Prediction of progressive fatigue damage and failure behavior of IM7/977-3 composites using the reduced-order multiple space-time homogenization approach

Abstract

This manuscript presents the blind prediction of fatigue life performance in three laminated carbon fiber reinforced polymer composite layups using a reduced-order space-time homogenization model. To bridge the spatial scales, the modeling approach relies on the Eigendeformation-based reduced order homogenization method. To bridge the time scales associated with a single load cycle and the overall life of the composite, a homogenization-based accelerated multiple-time-scale integrator with adaptive time stepping capability is employed. The proposed multiscale modeling approach was used to predict the evolution of composite stiffness and progressive damage accumulation as a function of loading cycles, as well as residual strength after fatigue in tension and compression, for three layups ([0,45,90,−45]2 s, [30,60,90,−60,−30]2 s, and [60,0,−60]3 s). Following blind prediction, the experimental data from the blind prediction specimens were employed to better understand the failure mechanisms and recalibrate the model. This study was performed as a part of the Air Force Research Laboratory's “Damage Tolerant Design Principles” Program.

Reduced order mathematical homogenization method for polycrystalline microstructure with microstructurally small cracks

“…The existing partitioning strategies can be generally classified into two categories: (1) geometry‐based strategy 51‐55 uses internal features such as grains in the polycrystalline microstructures or inclusions in the particulate composites to define the partitions; and (2) response‐based strategy 43,44,56‐58 groups the subdomains of the microstructure with similar responses into the same parts when the microstructure is subjected to a given loading. In this work, we propose a mixed approach: The partitioning is initiated by ensuring that each grain in the polycrystalline volume is represented by at least one part (i.e., $$$ n\ge {n}_{\mathrm{grain}} $$$).…”

Prediction of the Ultimate Strength of Notched and Unnotched IM7/977-3 Laminated Composites Using a Micromechanics Approach

“…In the DTDP exercise [13], the analysis codes, namely generalized method of cells (MAC/GMC) [16], helius progressive failure analysis (Helius PFA) [17], enhanced schapery theory (EST) [13], multi-scale design system for linking continuum scales (MDS-C) [18], general optimization analyzer (GENOA) [19], eigendeformation-based reduced order homogenization (EHM) [20], and n-phase cylindrical model (NCYL) [21], were based on the micromechanics approach.…”

Multi-Yield Surface Modeling of Viscoplastic Materials

“…In order to address the presence of multiple time scales, the long term performance of structures subjected to cyclic loading are traditionally modeled using cycle-jump approaches (see e.g., [11]). More recently, an alternative methodology based on the multiple time scale computational homogenization has been developed by Oskay and Fish [29,30] to investigate the failure behavior of a range of materials from metals [30,16] to composites [13,14,3].…”