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A Review of Physics-based Models in Prognostics and Health Management of Laminated Composite Structures

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Abstract

This article reports on the physics-based models for the diagnosis (detection, isolation, localization, and quantification of damages) and prognosis (prediction of the future evolution of damages) of laminated composites. The model-based and data-driven prognostic strategies are compared, followed by a summary of the most common failure modes and the failure mechanisms of laminated composite materials. Then, an overview is provided of the measurement-based empirical/phenomenological and finite element-based damage evolution models for composite materials. The techniques reviewed in the former are Paris’s law and its modified versions, stiffness degradation models, Bayesian framework (Particle filters, Bayesian inference, dynamic Bayesian networks), and minimum strain energy theory. The finite element-based models overviewed failure criteria (Hashin, Puck, stress failure criteria) and damage propagation criteria (B-K criterion, equivalent strain/displacement criterion, strain rate-dependent damage model, cohesive zone modeling, De-Cohesive Law). Due to their complex failure modes, there is no generalized global solution for the diagnostics and prognostics of composite materials. The article will serve as guidelines for the physics-based prognostics and health management (PHM) of composite materials.

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Data Availability

This is a review article which provides an overview of the physics-based approaches for prognosis of damage in laminated composites from the published literature. Since no measured data was used in the article, the authors would not be able to provide a data availability statement for this article.

Abbreviations

\(a\) :

Crack length

\(N\) :

Cumulative load/impact cycle

f(D L):

Functional form corresponding to loading conditions

∆K :

Range of stress intensity factor

∆G :

Range of energy release rate

X t :

Tensile failure stress of a lamina in fiber direction

X c :

Compressive failure stress of a lamina in fiber direction

Y t :

Tensile failure stress of a lamina normal fiber direction

Y c :

Compressive failure stress of a lamina normal fiber direction

S 12 :

Interlaminar shear strength

\({\sigma }_{m}^{max}\) :

Maximum principal stress

\({\sigma }_{m}^{mim}\) :

Minimum principal stress

\({\theta }_{m}^{max}\) :

Tensile angle of rotation for the matrix crack

\({\theta }_{m}^{mim}\) :

Compression angle of rotation for the matrix crack

\({\varepsilon }_{1T}\) :

Failure strain of a unidirectional layer in tension

\({\varepsilon }_{1C}\) :

Failure strain of a unidirectional layer in compression

νf12 :

Poisson’s ratio

m σf :

Mean stress magnification factor for the fibers in the × 2 direction

γ 21 :

Shear strain

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Acknowledgements

This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF-2020R1A2C1006613), funded by the Ministry of Education, and also supported by the Ministry of Trade, Industry, and Energy (MOTIE) and the Korea Institute for Advancement of Technology (KIAT), through the International Cooperative R&D program (Project No. P0011923 and P0016173), Republic of Korea.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering GIK Institute of Engineering Sciences and Technology, Swabi, 23460, Khyber Pakhtunkhwa, Pakistan

    Asif Khan

  2. Department of Mechanical Robotics and Energy Engineering, Dongguk University-Seoul, Pil-Dong, Jung-Gu, Seoul, 04620, South Korea

    Muhammad Muzammil Azad, Muhammad Sohail & Heung Soo Kim

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Khan, A., Azad, M.M., Sohail, M. et al. A Review of Physics-based Models in Prognostics and Health Management of Laminated Composite Structures. Int. J. of Precis. Eng. and Manuf.-Green Tech. 10, 1615–1635 (2023). https://doi.org/10.1007/s40684-023-00509-4

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