Nonlinear constitutive models for FRP composites using artificial neural networks

Rami Haj-Ali*, Hoan Kee Kim

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This paper presents a new approach to generate nonlinear and multi-axial constitutive models for fiber reinforced polymeric (FRP) composites using artificial neural networks (ANNs). The new nonlinear ANN constitutive models are complete and have been integrated with displacement-based FE software for the nonlinear analysis of composite structures. The proposed ANN constitutive models are trained with experimental data obtained from off-axis tension/compression and pure shear (Arcan) tests. The proposed ANN constitutive model is generated for plane-stress states with assumed functional response in some parts of the multi-axial stress space with no experimental data. The ability of the trained ANN models to predict material response is examined directly and through FE analysis of a notched composite plate. The experimental part of this study involved coupon testing of thick-section pultruded FRP E-glass/polyester material. Nonlinear response was pronounced including in the fiber direction due to the relatively low overall fiber volume fraction (FVF). Notched composite plates were also tested to verify the FE, with ANN material models, to predict general non-homogeneous responses at the structural level.

Original languageEnglish
Pages (from-to)1035-1042
Number of pages8
JournalMechanics of Materials
Issue number12
StatePublished - Dec 2007
Externally publishedYes


  • Artificial neural network (ANN)
  • Fiber reinforced polymer (FRP) composite
  • Finite element analysis (FEA)
  • Nonlinear constitutive models
  • Plane stress-strain behavior


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