Parametrically-upscaled continuum damage mechanics (PUCDM) model for plain weave woven composites: Part I model development

Abstract

This is the first of a two-part paper that develops a validated 2-level parametrically-upscaled continuum damage mechanics (PUCDM) model for multiscale modeling of damage evolution in plain weave woven composites, characterized by multiple levels of hierarchy. The two-level PUCDM models, viz. PUCDM-1 and PUCDM-2, bridge three levels of composite hierarchy. The PUCDM-1 model corresponds to the constitutive model for yarns in the mesoscopic woven RVE with representation of the morphology and mechanisms of underlying unidirectional fibers in level-1 of the hierarchy. The PUCDM-2 model is used for modeling the structural scale composite behavior with morphological and mechanisms representation from the underlying levels 2 and 1. Functional forms of constitutive coefficients in the PUCDM-1 and PUCDM-2 models, in terms of representative aggregated micro- and meso-structural parameters (RAMPs), material properties, and damage states, are generated by machine learning (ML) methods. The ML algorithms operate on databases of volume-averaged response variables, obtained from the simulation of lower-level RVEs. The validation tests, comparing PUCDM model results with homogenized variables from lower scale analysis demonstrate very good accuracy. The two-level PUCDM models are capable of predicting the stress–strain and damage evolution with high computational efficiency and accuracy.