Progressive damage simulation of open-hole composite laminates under compression based on different failure criteria

Abstract

The strength prediction of open-hole fibre-reinforced composite laminate under compression is very important in the design of composite structures. The modelling of fibre, matrix damage and delamination plays an important role in the understanding of the damage mechanics of laminate under open-hole compression. In this article, a progressive damage model for open-hole compression that is based on continuum shell elements and cohesive elements is established to model in-plane damage and delamination, respectively. The damage mechanics of sublaminate-scaled laminates with ply sequence [45/0/−45/90]_ms and ply-level-scaled laminates with ply sequence [45_n/0_n/−45_n/90_n]_s are investigated by our proposed model. The Tsai-Wu and Hoffman failure criteria are employed for the determination of matrix damage initiation. Compared with the experiments, the numerical results using the Tsai-Wu criterion exhibit better accuracy regarding open-hole compression strength prediction and failure modes simulation.

Keywords

Fracture toughness damage mechanics computational modelling

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References

Egan

McCarthy

. Stress analysis of single-bolt, single-lap, countersunk composite joints with variable bolt-hole clearance. Compos Struct 2012; 94: 1038–1051.

Whitney

Nuismer

. Stress fracture criteria for laminated composites containing stress-concentrations. J Compos Mater 1974; 8: 253–265.

Soutis

. Compressive strength of composite laminates with an open hole: Effect of ply blocking. J Compos Mater 2012; 47: 2503–2512.

Dugdale

. Yielding of steel sheets containing slits. J Mech Phys Solids 1960; 8: 100–104.

Barenblatt

. The mathematical theory of equilibrium cracks in brittle fracture. Adv Appl Mech 1962; 7: 55–129.

Camanho

Maimi

Davila

. Prediction of size effects in notched laminates using continuum damage mechanics. Compos Sci Technol 2007; 67: 2715–2727.

Chang

Lessard

. Damage tolerance of laminated composites containing an open hole and subjected to compressive loadings 1: analysis. J Compos Mater 1991; 25: 2–43.

Hashin

. Failure criteria for unidirectional fiber composites. J Appl Mech Trans ASME 1980; 47: 329–334.

Tan

Perez

. Progressive failure of laminated composites with a hole under compressive loading. J Reinf Plast Comp 1993; 12: 1043–1057.

10.

Tsai

. A general theory of strength for anisotropic materials. J Compos Mater 1971; 5: 58–80.

11.

Wang

Callus

Bannister

. Experimental and numerical investigation of the tension and compression strength of un-notched and notched quasi-isotropic laminates. Compos Struct 2004; 64: 297–306.

12.

Suemasu

Takahashi

Ishikawa

. On failure mechanisms of composite laminates with an open hole subjected to compressive load. Compos Sci Technol 2006; 66: 634–641.

13.

Pinho

Iannucci

Robinson

. Physically-based failure models and criteria for laminated fibre-reinforced composites with emphasis on fibre kinking: part I: development. Compos Part A-Appl Sci Manuf 2006; 37: 63–73.

14.

Pinho

Iannucci

Robinson

. Physically-based failure models and criteria for laminated fibre-reinforced composites with emphasis on fibre kinking: part II: FE implementation. Compos Part A-Appl Sci Manuf 2006; 37: 766–777.

15.

Lee

Kim

. Numerical characterization of compressive response and damage evolution in laminated plates containing a cutout. Compos Sci Technol 2007; 67: 2221–2230.

16.

McGregor

Zobeiry

Vaziri

. A constitutive model for progressive compressive failure of composites. J Compos Mater 2008; 42: 2687–2716.

17.

Allix

Feld

Baranger

. The compressive behaviour of composites including fiber kinking: modelling across the scales. Meccanica 2014; 49: 2571–2586.

18.

Tay

Ridha

. Progressive damage modeling of open-hole composite laminates under compression. Compos Struct 2015; 122: 507–517.

19.

Ridha

Wang

Chen

. Modelling complex progressive failure in notched composite laminates with varying sizes and stacking sequences. Compos Part A-Appl Sci Manuf 2014; 58: 16–23.

20.

Lee

Soutis

. Measuring the notched compressive strength of composite laminates: specimen size effects. Compos Sci Technol 2008; 68: 2359–2366.

21.

Abaqus analysis user’s manual, Version 6.10, 2011.

22.

Hoffman

. The brittle strength of orthotropic materials. J Compos Mater 1967; 22: 200–206.

23.

Benzeggagh

Kenane

. Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus. Compos Sci Technol 1996; 56: 439–449.

24.

Wisnom

Hallett

Soutis

. Scaling effects in notched composites. J Compos Mater 2010; 44: 195–210.

25.

Laffan

Pinho

Robinson

. Measurement of the in situ ply fracture toughness associated with mode I fibre tensile failure in FRP. Part II: Size and lay-up effects. Compos Sci Technol 2010; 70: 614–621.

26.

Chen

Tay

Baiz

. Numerical analysis of size effects on open-hole tensile composite laminates. Compos Part A-Appl Sci Manuf 2013; 47: 52–62.

27.

Hallett

Green

Jiang

. An experimental and numerical investigation into the damage mechanisms in notched composites. Compos Part A – Appl Sci Manuf 2009; 40: 613–624.