A Robust Fast Fracture Plane Orientation Angle Search Algorithm for Puck 3D Inter-Fibre Failure Criterion

Authors

  • Nanda Wirawan 1) Department of Mechanical Engineering, University of Sheffield, Sheffield S1 3JD, United Kingdom 2) Research Center for Aeronautics Technology, National Research and Innovation Agency (BRIN), Bogor 16350, Indonesia
  • Ibrahim H. Abuzayed Department of Mechanical Engineering, University of Sheffield, Sheffield S1 3JD, United Kingdom
  • Mahesa Akbar Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Bandung 40132, Indonesia
  • Jose L. Curiel-Sosa Department of Mechanical Engineering, University of Sheffield, Sheffield S1 3JD, United Kingdom

DOI:

https://doi.org/10.13052/ejcm2642-2085.3332

Keywords:

Composite material, 3D Puck failure criterion, fast fracture plane angle orientation search algorithm

Abstract

In the present work, a novel fast fracture plane orientation angle (FPOA) search algorithm for the 3D Puck failure criterion is proposed. In the 3D Puck failure criterion, a linear search algorithm is employed to calculate the maximum inter-fibre failure (IFF) value by iterating and comparing the IFF value for each FPOA. This process itself requires a substantial amount of computational resources. The proposed fast FPOA search algorithm is implemented to substitute the linear search algorithm in order to reduce the computational time. A total of 1×105 randomised stress cases are used to analyse the accuracy of the algorithm. The result was then compared with the Puck Stepwise Seach Method (SSM) and other fast FPOA search algorithms. The results show that the proposed fast FPOA search algorithm has better accuracy compared to the other fast FPOA search algorithms and is almost 5 times faster compared to the SSM algorithm by Puck. In addition, a subroutine contains the Puck failure criterion and the proposed fast FPOA search algorithm is embedded into a Finite Element Analysis (FEA) software to simulate the open-hole test (OHT) experiment on the composite material.

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Author Biographies

Nanda Wirawan, 1) Department of Mechanical Engineering, University of Sheffield, Sheffield S1 3JD, United Kingdom 2) Research Center for Aeronautics Technology, National Research and Innovation Agency (BRIN), Bogor 16350, Indonesia

Nanda Wirawan is currently pursuing his PhD in mechanical engineering at the University of Sheffield. He is also working as a researcher at the Aeronautics and Space Research Organisation at the National Research and Innovation Agency of Indonesia. His research focuses on computational solid mechanics, primarily on the composite material.

Ibrahim H. Abuzayed, Department of Mechanical Engineering, University of Sheffield, Sheffield S1 3JD, United Kingdom

Ibrahim H. Abuzayed is currently pursuing a Ph.D. in Mechanical Engineering at the University of Sheffield, having earned his Master’s in Advanced Mechanical Engineering from the same institution in 2020. His research focuses on computational mechanics, specifically the fracture of hybrid composite materials. Ibrahim has actively contributed to the academic community through teaching activities at the University of Sheffield since 2021.

Mahesa Akbar, Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Bandung 40132, Indonesia

Mahesa Akbar received the philosophy of doctorate degree in Mechanical Engineering from The University of Sheffield in 2019. He is currently working as a Researcher at the Centre of Defence and Security Technology and Lightweight Structure Research Group at Institut Teknologi Bandung. His expertise is in the field of computer aided engineering (CAE) with interest in structural dynamics, fluid dynamics, aeroelasticity, fluid-structure interaction, energy harvesting and smart composites.

Jose L. Curiel-Sosa, Department of Mechanical Engineering, University of Sheffield, Sheffield S1 3JD, United Kingdom

Jose L. Curiel-Sosa is a lecturer at the University of Sheffield. He studied at the Escuela Superior de Ingenieros Industriales, University of Seville. He has a PhD in engineering modelling and simulation from Swansea University. He has previously worked for both industry (composites engineer in manufacturing and design) and academia (aerostructures postdoc – University of Oxford). His research is polymathic spanning from computational analysis to fundamental research; being applied in a range of industrial sectors, from aerospace (interaction aerostructures-aerodynamics, aeroelasticity, aviation safety) to manufacturing and machining (composite structures).

References

S. W. Tsai and E. M. Wu, “A general theory of strength for anisotropic materials,” Journal of Composite Materials, vol. 5, pp. 58–80, 1971.

Z. Hashin, “Failure criteria for unidirectional fiber composites,” Journal of Applied Mechanics, vol. 47, no. 2, pp. 329–334, 1980.

M. J. Hinton, A. S. Kaddour and P. D. Soden, Failure criteria in fibre-reinforced-polymer composites, Elsevier, 2004.

A. Puck, “Festigkeitsanalyse von Faser-Matrix-Laminaten, Modelle für die Praxis,” Carl Hanser Verlag, Munich, 1996.

A. Puck and H. Schürmann, “Failure analysis of FRP laminates by means of physically based phenomenological models,” Composites Science and Technology, vol. 58, no. 7, pp. 1045–1067, 1998.

A. Puck, J. Kopp and M. Knops, “Guidelines for the determination of the parameters in Puck’s action plane strength criterion,” Composites Science and Technology, vol. 62, no. 3, pp. 371–378, 2002.

Verein Deutscher Ingeniere., “Development of fibre-reinforced plastics components – analysis,” Beuth Verlag GmbH, Berlin, 2006.

J. Weigand, N. Petrinic and B. Elliott, “An algorithm for determination of the fracture angle for the three-dimensional Puck matrix failure criterion for UD composites,” Composites Science and Technology, vol. 68, no. 12, pp. 2511–2517, 2008.

J. Kiefer, “Sequential minimax search for a maximum,” Proceedings of the American Mathematical Society, vol. 4, no. 3, pp. 502–506, 1953.

P. Jarratt, “An iterative method for locating turning points,” The Computer Journal, vol. 10, no. 1, pp. 82–84, 1967.

F. J. Schirmaier, J. Weiland, L. Kärger and F. Henning, “A new efficient and reliable algorithm to determine the fracture angle for Puck’s 3D matrix failure criterion for UD composites,” Composites Science and Technology, vol. 100, pp. 19–25, 2014.

M. Rezasefat, D. B. Torres, A. Gonzales-Jimenez, M. Giglio and A. Manes, “A fast fracture plane orientation search algorithm for Puck’s 3D IFF criterion for UD composites,” Materials Today Communications, vol. 28, p. 102700, 2021.

B. Paul, “A modification of the Coulomb-Mohr theory of fracture,” Journal of Applied Mechanics, vol. 28, no. 2, pp. 259–268, 1961.

P. P. Camanho, P. Maimí and C. G. Dávila, “Prediction of size effects in notched laminates using continuum damage mechanics,” Composites Science and Technology, vol. 67, no. 13, pp. 2715–2727, 2007.

P. P. Camanho, M. A. Bessa, G. Catalanotti, M. Vogler and R. Rofles, “Modeling the inelastic deformation and fracture of polymer composites – Part II: Smeared crack model,” Mechanics of Materials, vol. 59, pp. 36–49, 2013.

P. Maimí, P. P. Camanho, J. A. Mayugo and C. G. Dávila, “A Continuum Damage Model for Composite Laminates: Part I – Constitutive Model,” Mechanics of Material, vol. 29, no. 10, pp. 897–908, 2007.

P. Maimí, P. P. Camanho, J. A. Mayugo and C. G. Dávila, “A continuum damage model for composite laminates: Part II – Computational implementation and validation,” Mechanics of Material, vol. 39, no. 10, pp. 909–919, 2007.

W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, FORTRAN numerical recipes, New York: Cambridge University Press, 1996.

P. D. Soden, M. J. Hinton and A. S. Kaddour, “Biaxial test results for strength and deformation of a range of E-glass and carbon fibre reinforced composite laminates: failure exercise benchmark data,” Composites Science and Technology, vol. 62, no. 12, pp. 1489–1514, 2002.

R.-H. Maa and J.-H. Cheng, “A CDM-based failure model for predicting strength of notched composite laminates,” Composites Part B: Engineering, vol. 33, no. 6, pp. 479–489, 2002.

A. M. Girão Coelho, J. T. Mottram and K. A. Harries, “Finite element guidelines for simulation of fibre-tension dominated failures in composite materials validated by case studies,” Composite Structures, vol. 126, pp. 299–313, 2015.

J. F. Chen, E. V. Morozov and K. Shankar, “A combined elastoplastic damage model for progressive failure analysis of composite materials and structures,” Composite Structures, vol. 94, no. 12, pp. 3478–3489, 2012.

O. Völkerink, E. Petersen, J. Koord and C. Hühne, “A pragmatic approach for a 3D material model considering elasto-plastic behaviour, damage initiation by Puck or Cuntze and progressive failure of fibre-reinforced plastics,” Computers & Structures, vol. 236, p. 106280, 2020.

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Published

2024-07-15

How to Cite

Wirawan, N., Abuzayed, I. H., Akbar, M., & Curiel-Sosa, J. L. (2024). A Robust Fast Fracture Plane Orientation Angle Search Algorithm for Puck 3D Inter-Fibre Failure Criterion. European Journal of Computational Mechanics, 33(03), 227–254. https://doi.org/10.13052/ejcm2642-2085.3332

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Section

UKACM 2023

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