Prediction of plastic strain accumulation in continuous fiber reinforced laminates by a constitutive ply model
Source abstract
Abstract
The present paper is concerned with the prediction of plastic ply strains which accumulate in continuous fiber reinforced laminates with polymeric matrix materials. The study is based on a constitutive model which is implemented within the Finite Element Method. Plastic strains are expected to evolve when the ply is subjected to a pronounced shear load and/or to pronounced transverse compression. Two plasticity mechanisms are modeled at ply level under plane stress assumption (i.e. for thin shells and plates). They either concern the evolution of plastic shear strains or the evolution of plastic normal strains. The proposed plasticity model is combined with an existing ply level continuum damage model. The capabilities of the proposed model are assessed by comparing its predictions to experimental data from literature. Emphasis is placed on loading conditions which drive the evolution of plastic strains. Excellent correlation with experimental results is shown for proportional as well as for non-proportional ply loadings.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Mechanical Behavior of Composites · Composite Structure Analysis and Optimization · Structural Analysis and Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (32)
Show source-provided references
1. Allix O, Daudeville L, Ladevèze P (1991) Delamination and damage mechanics. In: Baptiste D (ed) Mechanics and mechanisms of damage in composites and multi-materials. Mechanical Engineering Publications Limited, London, UK, pp 143–158
2. Barbero E, Lonetti P (2002) An inelastic damage model for fiber reinforced laminates. J Compos Mater 36(8): 941–96210.1177/0021998302036008549 ↗
3. Böhm H (2004) A short introduction to continuum micromechanics. In: Böhm H(ed) Mechanics of microstructured materials, CISM courses and lectures, vol 464. Springer-Verlag, Wien, New York, pp 1–40
4. Flatscher T, Schuecker C, Pettermann H (2009) A constitutive ply model for stiffness degradation and plastic strain accumulation: its application to WWFE-III (Part A) (submitted for World Wild Failure Exercise III)
5. Gilat A, Goldberg R, Roberts G (2005) Strain rate sensitivity of epoxy resin in tensile and shear loading. Tech. Rep. TM-2005-213595, NASA
6. González C, LLorca J (2007) Mechanical behavior of unidirectional fiber-reinforced polymers under transverse compression: microscopic mechanisms and modeling. Comp Sci Tech 67: 2795–280610.1016/j.compscitech.2007.02.001 ↗
7. Hansen E, Willam K, Carol I (2001) A two-surface anisotropic damage/plasticity model for plain concrete. In: de Borst R, Mazars J, Pijaudier-Cabot G, van Mier J (eds) Proceedings of 4th international conference on fracture mechanics of concrete and concrete structures, pp 549–556
8. Hsu SY, Vogler T, Kyriakides S (1999) Inelastic behavior of an AS4/PEEK composite under combined transverse compression and shear. Part II: modeling. Int J Plast 15: 807–83610.1016/S0749-6419(99)00012-1 ↗
9. Jones R (1999) Mechanics of composite materials, 2nd edn. Taylor & Francis Inc., Philadelphia, PA, USA
10. Ladevèze P (1991) On a damage mechanics approach. In: Baptiste D(eds) Mechanics and mechanisms of damage in composites and multi-materials. Mechanical Engineering Publications Limited, London, UK, pp 119–142
11. Lemaitre J (1992) A course on damage mechanics. Springer Verlag, Berlin Heidelberg, Germany10.1007/978-3-662-02761-5 ↗
12. Li S, Reid S, Soden P (1998) A continuum damage model for transverse matrix cracking in laminated fibre-reinforced composites. Phil Trans R Soc Lond A 356: 2379–241210.1098/rsta.1998.0278 ↗
13. Maimí P, Camanho P, Mayugo J, Dávila C (2007) A continuum damage model for composite laminates: part I—constitutive model. Mech Mat 39: 897–90810.1016/j.mechmat.2007.03.005 ↗
14. Matzenmiller A, Lubliner J, Taylor R (1995) A constitutive model for anisotropic damage in fiber-composites Mech Mater 20: 125–152
15. Puck A (1996) Festigkeitsanalyse von Faser-Matrix-Laminaten. Carl Hanser Verlag, München Wien, Germany
16. Puck A, Mannigel M (2007) Physically based non-linear stress-strain relations for the inter-fibre fracture analysis of FRP laminates. Comp Sci Tech 67: 1955–196410.1016/j.compscitech.2006.10.008 ↗
17. Puck A, Schürmann H (1998) Failure analysis of FRP laminates by means of physically based phenomenological models. Comp Sci Tech 58: 1045–106710.1016/S0266-3538(96)00140-6 ↗
18. Puck A, Kopp J, Knops M (2002) Guidelines for the determination of the parameters in Puck’s action plane strength criterion. Comp Sci Tech 62(3):371–378; (9) 127510.1016/S0266-3538(01)00202-0 ↗
19. Schuecker C (2005) Mechanism based modeling of damage and failure in fiber reinforced polymer laminates. PhD thesis, Institute of Lightweight Design and Structural Biomechanics, Vienna University of Technology, Vienna, Austria (also published in: VDI Fortschritt-Berichte VDI Reihe 18 Nr. 303. VDI-Verlag, Düsseldorf)
20. Schuecker C, Pettermann H (2006) A continuum damage model for fiber reinforced laminates based on ply failure mechanisms. Compos Struct 76(1–2): 162–17310.1016/j.compstruct.2006.06.023 ↗
21. Schuecker C, Pettermann H (2008a) Combining elastic brittle damage with plasticity to model the non-linear behavior of fiber reinforced laminates. In: Camanho P, Dávila C, Pinho S, Remmers J (eds) Mechanical response of composites. Springer, Berlin, pp 99–11710.1007/978-1-4020-8584-0_5 ↗
22. Schuecker C, Pettermann H (2008) Constitutive ply damage modeling, FEM implementation, and analyses of laminated structures. Arch Comput Methods Eng 86: 908–918
23. Schuecker C, Pettermann H (2008c) Fiber reinforced laminates: progressive damage modeling based on failure mechanisms. Arch Comput Methods Eng 15: 163–18410.1007/s11831-008-9016-z ↗
24. Schürmann H (2005) Konstruieren mit Faser-Kunststoff- Verbunden. Springer Verlag, Berlin Heidelberg New York, Germany10.1007/b137636 ↗
25. Simo J, Hughes T (1998) Computational inelasticity. Springer-Verlag, New York Berlin Heidelberg, New York
26. Soden P, Hinton M, Kaddour A (1998) Lamina properties, lay-up configurations and loading conditions for a range of fibre-reinforced composite laminates. Comp Sci Tech 58: 1011–102210.1016/S0266-3538(98)00078-5 ↗
27. Talreja R, Yalvac S, Yats L, Wetters D (1992) Transverse cracking and stiffness reduction in cross ply laminates of different matrix toughness. J Compos Mater 26(11): 1644–166310.1177/002199839202601105 ↗
28. Totry E, González C, LLorca J (2008) Prediction of the failure locus of C/PEEK composites under transverse compression and longitudinal shear through computational micromechanics. Comp Sci Tech 68: 3128–313610.1016/j.compscitech.2008.07.011 ↗
29. Van paepegem W, De Baere I, Degrieck J (2006a) Modelling the nonlinear shear stress–strain response of glass fibre-reinfroced composites. Part I: experimental results. Comp Sci Tech 66: 1455–146410.1016/j.compscitech.2005.04.014 ↗
30. Van paepegem W, De Baere I, Degrieck J (2006b) Modelling the nonlinear shear stress–strain response of glass fibre-reinfroced composites. Part II: Model development and finite element simulations. Comp Sci Tech 66: 1465–147810.1016/j.compscitech.2005.04.018 ↗
31. Varna J, Joffe R, Akshantala N, Talreja R (1999) Damage in composite laminates with off-axis plies. Comp Sci Tech 59: 2139–214710.1016/S0266-3538(99)00070-6 ↗
32. Vogler T, Kyriakides S (1999) Inelastic behavior of an AS4/PEEK composite under combined transverse compression and shear. Part I: experiments. Int J Plast 15: 783–80610.1016/S0749-6419(99)00011-X ↗