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A damage index proposal for shear-after-impact of laminated composite plates

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Abstract

This work presents a damage index proposal based on an experimental approach to evaluate the behavior of laminated fiber-reinforced composite plates under in-plane shear-after-impact conditions. Therefore, drop-weight experimental tests for low-energy impact (face-on in the barely visible impact damage range) are performed in laminates, as well as in-plane shear tests are carried out by 3-rail device to obtain stress–strain curves for pristine and impact-damaged composite plates. A new coupon based on the ASTM standards is designed to fit impact and in-plane shear experimental devices. The phenomenological damage index for shear-after-impact is energy-based being able to quantify the damage severity in the composite plates as shown by experimental results. Simple guidelines for its determination are also summarized. Furthermore, computational simulations via ABAQUS with a User Material (UMAT) subroutine accounting for progressive damage analysis are performed to predict damage index values for different degradation scenarios. Finally, it is discussed and concluded that the proposed damage index and the experimental approach can be combined with the already consolidated procedures, such as flexure- and compression-after-impact, to evaluate with more accuracy the residual strength of impacted laminates of fiber-reinforced composite materials.

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References

  1. Beaumont PWR, Soutis C, Hodzic A (eds) (2017) The structural integrity of carbon fiber composites: fifty years of progress and achievement of the science, development, and applications. Springer International Publishing, Switzerland

    Google Scholar 

  2. Jones RM (1998) Mechanics of composite materials. CRC Press, London

    Google Scholar 

  3. Hinton M, Kaddour AS, Soden PD (2004) Failure criteria in fibre reinforced polymer composites: the world-wide failure exercise. Elsevier, London. https://doi.org/10.1016/B978-0-080-44475-8.X5000-8

    Book  Google Scholar 

  4. Kaddour AS, Hinton M (2013) Maturity of 3D failure criteria for fibre-reinforced composites: comparison between theories and experiments: Part B of WWFE-II. J Compos Mater 47(6–7):925–966. https://doi.org/10.1177/0021998313478710

    Article  Google Scholar 

  5. Abrate S (1998) Impact on composite structures. Cambridge University Press, Cambridge

    Book  Google Scholar 

  6. De Oliveira SAC, Donadon MV, Arbelo MA (2020) Crushing simulation using an energy-based damage model. J Braz Soc Mech Sci Eng 42:1–16. https://doi.org/10.1007/s40430-020-02383-6

    Article  Google Scholar 

  7. Özbek Ö, Dogan NF, Bozkurt ÖY (2020) An experimental investigation on lateral crushing response of glass/carbon intraply hybrid filament wound composite pipes. J Braz Soc Mech Sci Eng 42(7):1–13. https://doi.org/10.1007/s40430-020-02475-3

    Article  Google Scholar 

  8. Feli S, Jafari SS (2017) Analytical modeling for perforation of foam-composite sandwich panels under high-velocity impact. J Braz Soc Mech Sci Eng 39(2):401–412. https://doi.org/10.1007/s40430-016-0489-7

    Article  Google Scholar 

  9. Thorsson SI, Waas AM, Rassaian M (2018) Low-velocity impact predictions of composite laminates using a continuum shell based modeling approach Part a: impact study. Int J Solids Struct 155:185–200. https://doi.org/10.1016/j.ijsolstr.2018.07.020

    Article  Google Scholar 

  10. Thorsson SI, Waas AM, Rassaian M (2018) Low-velocity impact predictions of composite laminates using a continuum shell based modeling approach Part B: BVID impact and compression after impact. Int J Solids Struct 155:201–212. https://doi.org/10.1016/j.ijsolstr.2018.07.018

    Article  Google Scholar 

  11. Bouvet C, Rivallant S (2016) Damage tolerance of composite structures under low-velocity impact. Dynamic deformation, damage and fracture in composite materials and structures. Woodhead Publishing, Darya Ganj. https://doi.org/10.1016/B978-0-08-100080-9.00002-6

    Book  Google Scholar 

  12. Travessa AT (2006) Simulation of delamination in composites under quasi-static and fatigue loading using cohesive zone models. Ph.D. Thesis, University of Girona

  13. Gliszczynski A, Kubiak T, Rozylo P, Jakubczak P, Bienias J (2019) The response of laminated composite plates and profiles under low-velocity impact load. Compos Struct 207:1–12

    Article  Google Scholar 

  14. De Medeiros R (2016) Development of a criterion for predicting residual strength of composite structures damaged by impact loading. Ph.D. Thesis, University of São Paulo

  15. De Medeiros R, Vandepitte D, Tita V (2018) Structural health monitoring for impact damaged composite: a new methodology based on a combination of techniques. Struct Health Monit 17(2):185–200. https://doi.org/10.1177/1475921716688442

    Article  Google Scholar 

  16. Feng Y, He Y, Tan X, An T, Zheng J (2017) Investigation on impact damage evolution under fatigue load and shear-after-impact-fatigue (SAIF) behaviors of stiffened composite panels. Int J Fatigue 100:308–321. https://doi.org/10.1016/j.ijfatigue.2017.03.046

    Article  Google Scholar 

  17. Feng Y, He Y, Tan X, An T, Zheng J (2017) Experimental investigation on different positional impact damages and shear-after-impact (SAI) behaviors of stiffened composite panels. Compos Struct 178:232–245. https://doi.org/10.1016/j.compstruct.2017.06.053

    Article  Google Scholar 

  18. American Society for Testing and Materials—D7136 (2015) Standard test method for measuring the damage resistance of a fiber-reinforced polymer matrix composite to a drop-weight impact event. ASTM International, West Conshohocken. https://doi.org/10.1520/D7136_D7136M-20

    Book  Google Scholar 

  19. American Society for Testing and Materials—D4255 (2015) Standard test method for in-plane shear properties of polymer matrix composite materials by the rail shear method. ASTM International, West Conshohocken. https://doi.org/10.1520/D4255_D4255M-20

    Book  Google Scholar 

  20. Christoforou AP, Yigit AS (1998) Characterization of impact in composite plates. Compos Struct 43(1):15–24. https://doi.org/10.1016/S0263-8223(98)00087-7

    Article  Google Scholar 

  21. Christoforou AP (2001) Impact dynamics and damage in composite structures. Compos Struct 52(2):181–188. https://doi.org/10.1016/S0263-8223(00)00166-5

    Article  Google Scholar 

  22. Christoforou AP, Elsharkawy AA, Guedouar LH (2001) An inverse solution for low-velocity impact in composite plates. Comput Struct 79(29–30):2607–2619. https://doi.org/10.1016/S0045-7949(01)00113-4

    Article  Google Scholar 

  23. Yigit AS, Christoforou AP (2007) Limits of asymptotic solutions in low-velocity impact of composite plates. Compos Struct 81(4):568–574. https://doi.org/10.1016/j.compstruct.2006.10.006

    Article  Google Scholar 

  24. Christoforou AP, Yigit AS (2009) Scaling of low-velocity impact response in composite structures. Compos Struct 91(3):358–365. https://doi.org/10.1016/j.compstruct.2009.06.002

    Article  Google Scholar 

  25. Olsson R (1992) Impact response of orthotropic composite plates predicted from a one-parameter differential equation. AIAA J 30(6):1587–1596. https://doi.org/10.2514/3.11105

    Article  MATH  Google Scholar 

  26. American Society for Testing and Materials—D3529 (2016) Standard test method for constituent content of composite prepreg. ASTM International, West Conshohocken. https://doi.org/10.1520/D3529-16

    Book  Google Scholar 

  27. American Society for Testing and Materials – D3039 (2017) Standard test method for tensile properties of polymer matrix composite materials. ASTM International, West Conshohocken. https://doi.org/10.1520/D3039_D3039M-17

    Book  Google Scholar 

  28. American Society for Testing and Materials—D3518 (2013) Standard test method for in-plane shear response of polymer matrix composite materials by tensile test of a 45° laminate. ASTM International, West Conshohocken. https://doi.org/10.1520/D3518_D3518M-18

    Book  Google Scholar 

  29. Majzoobi GH, Jafari SS (2021) An investigation into the effect of strain rate on damage evolution in pure copper using a modified Bonora model. J Stress Anal 6(1):127–138. https://doi.org/10.22084/jrstan.2021.24907.1193

    Article  Google Scholar 

  30. Ribeiro ML, Tita V, Vandepitte D (2012) A new damage model for composite laminates. Compos Struct 94(2):635–642. https://doi.org/10.1016/j.compstruct.2011.08.031

    Article  Google Scholar 

  31. Ribeiro ML, Vandepitte D, Tita V (2013) Damage model and progressive failure analysis for filament wound composite laminates. Appl Compos Mater 20:975–992. https://doi.org/10.1007/s10443-013-9315-x

    Article  Google Scholar 

  32. Tita V, de Carvalho J, Vandepitte D (2008) Failure analysis of low velocity impact on thin composite laminates: experimental and numerical approaches. Compos Struct 83(4):413–428. https://doi.org/10.1016/j.compstruct.2007.06.003

    Article  Google Scholar 

  33. Pinho ST, Davila CG, Camanho PP, Iannucci L, Robinson P (2005) Failure models and criteria for FRP under in-plane or three-dimensional stress states including shear non-linearity. NASA Technical Reports, NASA/TM-2005–213530

  34. Davila CG, Camanho PP, Rose CA (2005) Failure criteria for FRP laminates. Compos Mater 39(4):323–345. https://doi.org/10.1177/0021998305046452

    Article  Google Scholar 

  35. Donadon MV, Iannucci L, Falzon BG, Hodgikinson JM, de Almeida SFM (2008) A progressive failure model for composite laminates subjected to low velocity impact damage. Compos Struct 86(11–12):1232–1252. https://doi.org/10.1016/j.compstruc.2007.11.004

    Article  Google Scholar 

  36. Lemaitre J (2012) A course on damage mechanics. Springer Science & Business Media, Cham

    MATH  Google Scholar 

  37. Talreja R (2008) Damage and fatigue in composites—a personal account. Compos Sci Technol 68(13):2585–2591. https://doi.org/10.1016/j.compscitech.2008.04.042

    Article  Google Scholar 

  38. Ferreira GFO, Ribeiro ML, Ferreira AJM, Tita V (2019) Computational analyses of composite plates under low-velocity impact loading. Mater Today: Proc 8:778–788. https://doi.org/10.1016/j.matpr.2019.02.020

    Article  Google Scholar 

  39. Ladeveze P, LeDantec E (1992) Damage modelling of the elementary ply for laminated composites. Compos Sci Technol 43(3):257–267. https://doi.org/10.1016/0266-3538(92)90097-M

    Article  Google Scholar 

  40. Matzenmiller A, Lubliner J, Taylor RL (1995) A constitutive model for anisotropic damage in fiber-composites. Mech Mater 20(2):125–152. https://doi.org/10.1016/B978-008044475-8/50028-7

    Article  Google Scholar 

  41. Almeida JHS Jr, Tonatto MLP, Ribeiro ML, Tita V, Amico SC (2018) Buckling and post-buckling of filament wound composite tubes under axial compression: linear, nonlinear, damage and experimental analyses. Compos B Eng 149:227–239. https://doi.org/10.1016/j.compositesb.2018.05.004

    Article  Google Scholar 

  42. Almeida JHS Jr, Ribeiro ML, Tita V, Amico SC (2017) Stacking sequence optimization in composite tubes under internal pressure based on genetic algorithm accounting for progressive damage. Compos Struct 178:20–26. https://doi.org/10.1016/j.compstruct.2017.07.054

    Article  Google Scholar 

  43. Jr Almeida JHS, Ribeiro ML, Tita V, Amico SC (2016) Damage and failure in carbon/epoxy filament wound composite tubes under external pressure: experimental and numerical approaches. Mater Des 96:431–438. https://doi.org/10.1016/j.matdes.2016.02.054

    Article  Google Scholar 

  44. Puck A, Schürmann H (2004) Failure analysis of FRP laminates by means of physically based phenomenological models. Failure criteria in fibre-reinforced-polymer composites. Elsevier, London, pp 832–876. https://doi.org/10.1016/j.jmrt.2014.10.003

    Chapter  Google Scholar 

  45. Herakovich CT (1998) Mechanics of fibrous composites. John Wiley & Sons, New York

    Google Scholar 

  46. Souza GSC (2021) Evaluation of laminated composite plates behavior under shear-after-impact loading conditions: a methodology proposal. MSc Dissertation. University of São Paulo

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Acknowledgements

The authors acknowledge the financial support of the National Council for Scientific and Technological Development (CNPq process number: 310656/2018-4) as well as the São Paulo Research Foundation (FAPESP process number: 2019/15179-2) the Coordination for the Improvement of Higher Education Personnel (CAPES number: 88887.608253/2021-00). Volnei Tita is thankful for the support of the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES-FCT: AUXPE 88881.467834/2019-01)—Finance Code 001.

Funding

Conselho Nacional de Desenvolvimento Científico e Tecnológico, 310656/2018-4, Gabriel Sales Candido Souza, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, 88887.608253/2021-00, Gabriel Sales Candido Souza, AUXPE 88881.467834/2019-01 Finance Code 001, Volnei Tita, Fundação de Amparo à Pesquisa do Estado de São Paulo, 2019/15179-2, Volnei Tita.

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Authors and Affiliations

  1. São Carlos School of Engineering, Aeronautical Engineering Department, University of São Paulo, Av. João Dagnone, São Carlos, SP, 13563-120, Brazil

    Gabriel Sales Candido Souza, Marcelo Leite Ribeiro & Volnei Tita

  2. Faculty of Engineering, Mechanical Engineering Department, University of Porto, Rua Dr Roberto Frias, 4200-465, Porto, Portugal

    Volnei Tita

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  1. Gabriel Sales Candido Souza
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Correspondence to Gabriel Sales Candido Souza.

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Souza, G.S.C., Ribeiro, M.L. & Tita, V. A damage index proposal for shear-after-impact of laminated composite plates. J Braz. Soc. Mech. Sci. Eng. 45, 561 (2023). https://doi.org/10.1007/s40430-023-04475-5

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