A critical reliability evaluation of fibre reinforced composite materials based on probabilistic micro and macro-mechanical analysis

Multiscale modeling of failure in composites under model parameter uncertainty

“…Refs. [5,12,20,29,32]). The focus of the present effort is on failure parameters only and moduli are set as deterministic.…”

“…The effect of random constituent elastic properties on the effective composite elastic moduli has been investigated by Kaminski [20] and Sakata, et al [28] using the stochastic finite element method (SFEM). Shaw and coworkers [32] estimated effective composite properties based on random constituent strength and stiff- Reliability of laminated composites based on random composite properties and layer thicknesses was investigated using SFEM and MC, β, and first order second moment reliability methods [22], the Edgeworth expansion method [21], and FORM and MC with trained neural networks [23]. The propagation of uncertainty from random constituents up through the effective composite properties to compute the reliability of composite structures using perturbation based stochastic finite elements has been investigated in Refs.…”

A data driven polynomial chaos based approach for stochastic analysis of CFRP laminated composite plates

“…For accurate structural failure probability estimation, it is essential that the initiating factors contributing to the uncertainties are appropriately modelled and their propagation into the structure response is adequately represented in the analysis. The origin of these uncertainties lie in the micro-structural scale; however, extending the methods used for characterising these uncertainties to the macro-scale behaviour is neither practical nor feasible [1]. The phenomenological processes responsible for the propagation of the uncertainties from the micro scales to the structure scales is involved and requires the development of complex models [2].…”

Multilevel assessment method for reliable design of composite structures

“…On the one hand, the ability to represent uncertainties on microscopie, macroscopic, and structural features could explain the consequences of variability of composites from small to larger scales. Regarding that application field, micromech anical schemes are often examined and compared to find the most suitable prediction of homogenized equivalent properties of these heterogeneous materials/structures [8,[11][12][13] or used to incorporate microscale variables and capture their effects on the reliability of structures [14][15][16]. On the other hand, the description of the physical origin of the material failure deeply justifies the reliability analysis and provides a robust assessment of structures reliability.…”