Bayesian inference of fiber orientation and polymer properties in short fiber-reinforced polymer composites

Thomas, Akshay J.; Barocio, Eduardo; Bilionis, Ilias; Pipes, R. Byron

doi:10.1016/j.compscitech.2022.109630

Bayesian inference of fiber orientation and polymer properties in short fiber-reinforced polymer composites

Journal Article · Wed Jul 06 00:00:00 EDT 2022 · Composites Science and Technology

DOI:https://doi.org/10.1016/j.compscitech.2022.109630· OSTI ID:1977022

^[1]; ^[2]; Bilionis, Ilias ^[2]; ^[2]

Purdue Univ., West Lafayette, IN (United States); OSTI
Purdue Univ., West Lafayette, IN (United States)

Herein we present a Bayesian methodology to infer the elastic modulus of the constituent polymer and the fiber orientation state in a short-fiber reinforced polymer composite (SFRP). The properties are inversely determined using only a few experimental tests. Developing composite manufacturing digital twins for SFRP composite processes, including injection molding and extrusion deposition additive manufacturing (EDAM) requires extensive experimental material characterization. In particular, characterizing the composite mechanical properties is time consuming and therefore, micromechanics models are used to fully identify the elasticity tensor. Hence, the objective of this paper is to infer the fiber orientation and the effective polymer modulus and therefore, identify the elasticity tensor of the composite with minimal experimental tests. To that end, we develop a hierarchical Bayesian model coupled with a micromechanics model to infer the fiber orientation and the polymer elastic modulus simultaneously which we then use to estimate the composite elasticity tensor. We motivate and demonstrate the methodology for the EDAM process but the development is such that it is applicable to other SFRP composites processed via other methods. Our results demonstrate that the approach provides a reliable framework for the inference, with as few as three tensile tests, while accounting for epistemic and aleatory uncertainty. Posterior predictive checks show that the model is able to recreate the experimental data well. The ability of the Bayesian approach to calibrate the material properties and its associated uncertainties, make it a promising tool for enabling a probabilistic predictive framework for composites manufacturing digital twins.

View Accepted Manuscript (DOE)

Research Organization:: Collaborative Composite Solutions Corporation, Knoxville, TN (United States); Institute for Advanced Composites Manufacturing Innovation (IACMI), Knoxville, TN (United States)

Sponsoring Organization:: USDOE Office of Energy Efficiency and Renewable Energy (EERE)

Grant/Contract Number:: EE0006926

OSTI ID:: 1977022

Journal Information:: Composites Science and Technology, Journal Name: Composites Science and Technology Journal Issue: C Vol. 228; ISSN 0266-3538

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Related Subjects

36 MATERIALS SCIENCE
Bayesian inference
Elastic properties
Extrusion deposition additive manufacturing
Fiber orientation
Gaussian process surrogate
Materials Science
Short fiber composites

Bayesian inference of fiber orientation and polymer properties in short fiber-reinforced polymer composites

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