Skip to main content

Advertisement

Log in

Interfacial fracture energy of a single cantilevered beam specimen using the J-integral method

  • Original paper
  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

Sandwich composites are widely used in the aerospace industry due to their high stiffness and strength-to-weight ratios. However, debonding between the core and facesheets in sandwich panels can occur at relatively low out-of-plane loads due to low interlaminar properties. Increasing interlaminar properties is achievable by using through-the-thickness stitching. Current test standards to estimate the fracture energy of composite materials assume small-scale yielding near the crack front and do not consider large plastic zone sizes due to large-scale bridging. Therefore, this study explores the use of the J-integral approach to better approximate the mode I dominant interfacial fracture energy in a stitched sandwich composite specimen that develops large-scale bridging. A single cantilevered beam test is performed to estimate the nonlinear and linear elastic fracture energies experimentally. Additionally, finite element analysis is used to verify the analytical predictions at crack initiation. Results indicate that a J-integral approach is a promising method to estimate the fracture energy of stitched sandwich composites.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Abrate S (1997) Localized impact on sandwich structures with laminated facings. Appl Mech Rev 50(2):69–82

    Article  Google Scholar 

  • Adams DO, Nelson J, Bluth Z (2012) Development and evaluation of fracture mechanics test methods for sandwich composites. In: Aircraft airworthiness & sustainment conference

  • Anderson TL (2017) Fracture mechanics: fundamentals and applications, 4th edn. CRC Press, Boca Raton

    Book  Google Scholar 

  • ASTM Std 5528-13 (2013) Standard test method for mode I interlaminar fracture toughness of unidirectional fiber-reinforced polymer matrix composites. ASTM International, West Conshohocken

  • ASTM Std D9705-14 (2014) Standard test method for determination of the mode II interlaminar fracture toughness of unidirectional fiber-reinforced polymer matrix composites. ASTM International, West Conshohocken

  • Berggreen C, Carlsson LA (2010) A modified TSD specimen for fracture toughness characterization—fracture mechanics analysis and design. J Compos Mater 44(15):1893–1912

    Article  Google Scholar 

  • Berggreen C, Saseendran V, Carlsson LA (2018) A modified DCB-UBM test method for interfacial fracture toughness characterization of sandwich composites. Eng Fract Mech 203:208–223

    Article  Google Scholar 

  • Cantwell WJ, Davies P (1994) A test technique for assessing core-skin adhesion in composite sandwich structures. J Mater Sci Lett 13(3):203–205

    Article  CAS  Google Scholar 

  • DMS-2436 Warp/Knit-Axial Carbon Fiber Fabric (2008) The Boeing Company, Long Beach

  • Drake DA, Sullivan RW (2019) Prediction of delamination propagation in polymer composites. Composites Part A Appl Sci Manuf 124:105467

  • Drake DA, Sullivan RW, Brown K, Clay S (2018) Investigation of mode I crack growth of VARTM carbon composites using optical fibers. In: ASC 33rd annual technical conference, 18th US–Japan conference on composite materials, Seattle, USA

  • Drake DA, Sullivan RW, Clay S, Kevin B (2019) Influence of through-thickness stitching on the fracture behavior of sandwich composites. In: ASC 34th technical conference, Atlanta

  • Drake DA, Sullivan RW, Clay SB (2020) Influence of stitch parameters on the fracture energy of stitched sandwich composites. In: American Society for composites 35th technical conference, Jersey City

  • Drake DA, Sullivan RW, Clay SB, DuBien JL (2021) Influence of stitching on the fracture of stitched sandwich composites. Composites Part A Sci Manuf 145:106383

  • Evonik (2020) Product information. Rohacell HERO

  • Gunderson JD, Brueck JF, Paris AJ (2007) Alternative test method for interlaminar fracture toughness of composites. Int J Fract 143(3):273–276

    Article  CAS  Google Scholar 

  • Hashemi S, Kinloch AJ, Williams JG (1989) Corrections needed in double-cantilever beam tests for assessing the interlaminar failure of fibre-composites. J Mater Sci Lett 8:125–129

    Article  CAS  Google Scholar 

  • Hibbeler RC (2005) Mechanics of materials. Pearson Prentice Hall, Upper Saddle River

  • Lascoup B, Aboura Z, Khellil K, Benzeggagh M (2006) On the mechanical effect of stitch addition in sandwich panel. Compos Sci Technol 66(10):1385–1398

    Article  Google Scholar 

  • Lascoup B, Aboura Z, Khellil K, Benzeggagh M (2010) Impact response of three-dimensional stitched sandwich composite. Compos Struct 92(2):347–353

    Article  Google Scholar 

  • Li X, Carlsson LA (1999) The tilted sandwich debond (TSD) specimen for face/core interface fracture characterization. J Sandwich Struct Mater 1(1):60–75

    Article  CAS  Google Scholar 

  • Matthews T, Ali M, Paris AJ (2014) Finite element analysis for a large displacement J-Integral test method for Mode I interlaminar fracture in composite materials. Finite Elem Anal Des 83:43–48

    Article  Google Scholar 

  • Mouritz AP (2007) Review of z-pinned composite laminates. Composites Part A Appl Sci Manuf 38(12):2383–2397

    Article  Google Scholar 

  • Mouritz AP, Cox BN (2000) A mechanistic approach to the properties of stitched laminates. Composites Part A Appl Sci Manuf 31(1):1–27

    Article  Google Scholar 

  • Mouritz AP, Cox BN (2010) A mechanistic interpretation of the comparative in-plane mechanical properties of 3D woven, stitched and pinned composites. Composites Part A Appl Sci Manuf 41(6):709–728

    Article  Google Scholar 

  • Nilsson F (2006) Large displacement aspects on fracture testing with double cantilever beam specimens. Int J Fract 139:305–311

    Article  Google Scholar 

  • Paris AJ, Paris PC (1988) Instantaneous evaluation of J and C-star. Int J Fract 38:19–21

    Article  Google Scholar 

  • Ranatunga V, Clay SB (2013) Cohesive modeling of damage growth in z-pinned laminates under mode-I loading. J Compos Mater 47(26):3269–3283

    Article  Google Scholar 

  • Ratcliffe JG (2010) Sizing single cantilever beam specimens for characterizing facesheet/core peel debonding in sandwich structure. In: 9th International conference on sandwich structures, Pasadena

  • Ratcliffe JG, Reeder JR (2011) Sizing a single cantilever beam specimen for characterizing facesheet–core debonding in sandwich structure. J Compos Mater 45(25):2669–2684

    Article  Google Scholar 

  • Rice JR (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 35(2):379–386

    Article  Google Scholar 

  • Saseendran V, Berggreen C, Carlsson LA (2017) Fracture mechanics analysis of reinforced DCB sandwich debond specimen loaded by moments. AIAA J 56(1):413–422

    Article  Google Scholar 

  • Saseendran V, Carlsson LA, Berggreen C (2018) Shear and foundation effects on crack root rotation and mode-mixity in moment- and force-loaded single cantilever beam sandwich specimen. J Compos Mater 52(18):2537–2547

    Article  Google Scholar 

  • Seltzer R, González C, Muñoz R, Llorca J, Blanco-Varela T (2013) X-ray microtomography analysis of the damage micromechanisms in 3D woven composites under low-velocity impact. Compos A Appl Sci Manuf 45:49–60

    Article  CAS  Google Scholar 

  • Sørensen BF (2012) A new generation of J integral fracture specimens for large-scale bridging problems. In: ECCM 2012—composites at Venice, Proceedings of the 15th European conference on composite materials

  • Sørensen BF, Jørgensen K, Jacobsen TK, Østergaard RC (2006) DCB-specimen loaded with uneven bending moments. Int J Fract 141(1):163–176

    Article  Google Scholar 

  • Tan KT, Yoshimura A, Watanabe N, Iwahori Y, Ishikawa T (2013) Effect of stitch density and stitch thread thickness on damage progression and failure characteristics of stitched composites under out-of-plane loading. Compos Sci Technol 74:194–204

    Article  CAS  Google Scholar 

  • Tomblin J, Lacy T, Smith B, Hooper S, Vizzini A, Lee S (1999) Review of damage tolerance for composite sandwich airframe structures. Report DOT/FAA/ AR-99/49, pp 1–71

  • Velicki A, Jegley D (2014) PRSEUS structural concept development. In: 52nd AIAA aerospace sciences meeting, National Harbor

  • Williams ML (1959) The stresses around a fault or crack in dissimilar media. Bull Seismol Soc Am 49(2):199–204

    Article  Google Scholar 

  • Williams JG (1987) Large displacement and end block effects in the DCB interlaminar test in modes I and II. J Compos Mater 21:330–347

    Article  Google Scholar 

  • Williams JG (1988) On the calculation of energy release rates for cracked laminates. Int J Fract 36(2):101–119

    Article  Google Scholar 

  • Yalkin HE, Icten BM, Alpyildiz T (2015) Enhanced mechanical performance of foam core sandwich composites with through the thickness reinforced core. Composites Part B Eng 79:383–391

    Article  CAS  Google Scholar 

Download references

Acknowledgements

This work was supported by the Air Force Research Laboratory (Award #: FA8650-19-2-2211). The authors gratefully acknowledge the support from James Ratcliffe from the NASA Langley Research Center, Center for Advanced Vehicular Systems, and the High-Performance Composite Materials Laboratory.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Daniel A. Drake.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Drake, D.A., Sullivan, R.W. Interfacial fracture energy of a single cantilevered beam specimen using the J-integral method. Int J Fract 229, 185–194 (2021). https://doi.org/10.1007/s10704-021-00547-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10704-021-00547-6

Keywords

Navigation