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Peridynamics for failure prediction in variable angle tow composites

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Abstract

This study presents a peridynamic (PD) approach to model progressive failure in fiber steered composites. The force density vectors in the PD equation of motion are derived explicitly for in-plane, transverse normal and transverse shear deformations in terms of the engineering material constants. The PD bonds enable the interaction of material points within each ply as well as their interaction with other material points in the adjacent plies. The PD equilibrium equation is solved by employing implicit techniques in an iterative form to account for damage progression based on the Hashin failure criteria for in-ply bonds and critical energy density release rate for inter-ply bonds. The capability of this approach is demonstrated by considering a lamina and two different variable tow angle laminates with a circular cutout under tension. It captures the correct deformation field as well as the damage initiation site and its progressive growth.

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References

  1. Silling, S.A.: Reformulation of elasticity theory for discontinuities and long-range forces. J. Mech. Phys. Solids 48, 175–209 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  2. Silling, S.A., Epton, M., Weckner, O., Xu, J., Askari, A.: Peridynamics States and Constitutive Modeling. J. Elast. 88, 151–184 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  3. Madenci, E., Oterkus, E.: Peridynamic theory and its applications. Springer, Boston, MA (2014)

    Book  MATH  Google Scholar 

  4. Madenci, E., Dorduncu, M., Barut, A., Phan, N.: A state-based peridynamic analysis in a finite element framework. Eng. Fract. Mech. 195, 104–128 (2018)

    Article  Google Scholar 

  5. Madenci, E., Dorduncu, M., Barut, A., Phan, N.: Weak form of peridynamics for nonlocal essential and natural boundary conditions. Comp. Meth. Appl Mech. 337, 598–631 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  6. Madenci, E., Yaghoobi, A., Barut, A., Dorduncu, M., Phan, N.: A peridynamic approach for modeling composite laminates, AIAA SciTech 2021 Forum, 1168 (2021)

  7. Gurdal, Z., Tatting, B., Wu, C.: Variable stiffness composite panels: effects of stiffness variation on the in-plane and buckling response. Compos. Part A 39, 911–922 (2008)

    Article  Google Scholar 

  8. Jones, R.M.: Mechanics of composite materials. Taylor & Francis, Philadelphia, PA (1998)

    Google Scholar 

  9. Oterkus, E., Madenci, E.: Peridynamic analysis of fiber reinforced composite materials. J. Mech Mater Struct 7, 45–84 (2012)

    Article  Google Scholar 

  10. Madenci, E., Barut, A., Futch, M.: Peridynamic differential operator and its applications. Comput. Methods Appl. Mech. Eng. 304, 408–451 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  11. Madenci, E., Barut, A., Dorduncu, M.: Peridynamic differential operator for numerical analysis. Springer, New York (2019)

    Book  MATH  Google Scholar 

  12. Madenci, E., Dorduncu, M., Barut, A., Futch, M.: Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator. Numer Methods Partial Differ. Equ. 33, 1726–1753 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  13. Hashin, Z.: Failure criteria for unidirectional fiber composites. J. Appl Mech 47, 329–334 (1980)

    Article  Google Scholar 

  14. Belytschko, T., Lu, Y., Gu, L.: Element-free Galerkin methods. Int. J. Numer. Meth. Engrg. 37, 229–256 (1994)

  15. Hu, Y.L., Madenci, E.: Bond-based peridynamic modeling of composite laminates with arbitrary fiber orientation and stacking sequence. Compos. Struct. 153, 139–175 (2016)

    Article  Google Scholar 

  16. Hu, Y.L., Madenci, E.: Peridynamics for fatigue life and residual strength prediction of composite laminates. Compos. Struct. 160, 169–184 (2017)

  17. Silling, S.A., Askari, E.: A meshfree method based on the peridynamic model of solid mechanics. Comput. Struct. 83, 1526–1535 (2005)

    Article  Google Scholar 

  18. Benzeggagh, M.L., Kenane, M.J.C.S.: Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus. Compos. Sci. Technol. 56, 439–449 (1996)

    Article  Google Scholar 

  19. Iarve, E.V., Hoos, K.H., Braginsky, M., Zhou, E., Mollenhauer, D.: Tensile and compression strength prediction in laminated composites by using Discrete Damage Modeling. In 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. (2015)

  20. Fang, E., Cui, X., Zhang, T., Liu, X., Lua, J.: A phantom paired element based discrete crack network (DCN) toolkit for residual strength prediction of laminated composites. In 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. (2015)

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Acknowledgements

This study was performed as part of the ongoing research at the MURI Center for Material Failure Prediction through Peridynamics at the University of Arizona (AFOSR Grant No. FA9550-14-1-0073).

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Authors and Affiliations

  1. Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ, 85721, USA

    E. Madenci

  2. Global Engineering Research and Technologies, Tucson, AZ, 85715, USA

    A. Yaghoobi & A. Barut

  3. US Naval Air Systems Command, Patuxent River, MD, 20670, USA

    N. Phan

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  1. E. Madenci
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  2. A. Yaghoobi
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  3. A. Barut
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  4. N. Phan
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Correspondence to E. Madenci.

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Madenci, E., Yaghoobi, A., Barut, A. et al. Peridynamics for failure prediction in variable angle tow composites. Arch Appl Mech 93, 93–107 (2023). https://doi.org/10.1007/s00419-022-02216-z

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