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Progressive damage and failure modeling in notched laminated fiber reinforced composites

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Abstract

A novel progressive damage and failure model for fiber reinforced laminated composites is presented in this work. The model uses the thermodynamically based Schapery Theory (ST) to model progressive microdamage in the matrix phase. Matrix failure is not governed with a matrix failure criterion, but rather matrix failure occurs naturally through the evolution of microdamage. A maximum strain criterion is used to dictate tensile failure in the fiber direction, while compressive failure is automatically accounted for by allowing local fiber rotations and tracking the evolution of rotation. The results of this model are compared to a previously developed model that used ST at the lamina level to calculate matrix microdamage, but used the Generalized Method of Cells to resolve the lamina level strains into constituent level stresses and strains and determines constituent failure by evaluating failure criteria at the micro, fiber/matrix level. Results for global load versus displacement and local strain from both models are compared to experimental data for notched laminates loaded in uniaxial tension. The results show remarkable agreement qualitatively, and in many cases the quantitative agreement is good. Accurate damage contours and failure paths are predicted.

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References

  • ABAQUS User’s Manual (2003) Vol 1-3, Version 6.5, Hibbit, Karlsson, and Sorenson, Pawtucket, RI

  • Aboudi J (1991) Mechanics of composite materials: a unified micromechanical approach. Elsevier, Amsterdam

    MATH  Google Scholar 

  • Aboudi J, Pindera M-J, Arnold SM (1999) Higher-order theory for functionally graded materials. Compos Part B 30(8): 777–832

    Article  Google Scholar 

  • Basu S (2005) Computational modeling of progrssive failure and damage in composite laminates. Ph.D. Dissertation, University of Michigan, Ann Arbor, MI

  • Basu S, Waas AM, Ambur DR (2006) Compressive failure of fiber composites under multiaxial loading. Int J Solids Struct 44(9): 2648–2676

    Article  CAS  Google Scholar 

  • Bazant ZP (1994) Nonlocal damage theory based on micromechanics of crack interactions. J Eng Mech—ASCE 120(3): 593–617

    Article  Google Scholar 

  • Bazant ZP, Cedolin L (1991) Stability of structures: elastic, inelastic, fracture and damage theories. Oxford University Press, New York

    MATH  Google Scholar 

  • Beaumont PWR, Dimant RA, Shercliff HR (2006) Failure processes in composite materials: getting physical. J Mater Sci 41: 6526–6546

    Article  ADS  CAS  Google Scholar 

  • Bednarcyk BA, and Arnold SM (2002a) MAC/GMC 4.0 User’s Manual - Keywords Manual. NASA/TM 2002-212077/VOL2

  • Bednarcyk BA, Arnold SM (2002b) MAC/GMC 4.0 User’s manual—example problems manual. NASA/TM 2002-212077/VOL3

  • Bednarcyk BA, Arnold SM (2002) Full couple micro/macro deformation, damage, and failure prediction for SiC/Ti-15-3 laminates. J Aerosp Eng 15(3): 74–83

    Article  Google Scholar 

  • Bednarcyk BA, Arnold SM (2006) A framework for performing multiscale stochastic progressive failure analysis of composite structures. In: Proceedings of the 2006 ABAQUS user’s conference, Boston, MA, 23–25 May 2006

  • Belytschko T, Liu WK, Moran B (2000) Nonlinear finite elements for continua and structures. Wiley, New York

    MATH  Google Scholar 

  • Belytschko T, Mish K (2001) Computability in non-linear solid mechanics. Int J Numer Methods Eng 52: 3–21

    Article  Google Scholar 

  • Bhargava A, Shivakumar KN (2007) Three dimensional tensile stress concentration in countersunk rivet holes. Aeronaut J 111(1126): 777–786

    Google Scholar 

  • Bogert PB, Satyanarayana A, Chunchu PB (2006) Comparison of damage path predicions for composite laminates by explicit and standard finite element analysis tool. In: Forty-seventh AIAA structures, structural dynamics, and materials conference, Newport, Rhode Island, 1–4 May 2006

  • Budiansky B, Fleck NA (1993) Compressive failure of fiber composites. J Mech Phys Solids 41(1): 183–211

    Article  ADS  Google Scholar 

  • Camanho PP, Davila CG, Pinho ST, Iannucci L, Robinson P (2006) Prediction of in situ strenghts and matrix cracking in composites under transverse tension and in-plane shear. Compos Part A 37: 165–176

    Article  CAS  Google Scholar 

  • Cox B, Yang Q (2006) In quest of virtual tests for structural composites. Science 314(5802): 1102–1107

    Article  PubMed  ADS  CAS  Google Scholar 

  • Daniel IM, Ishai O (2006) Mechanics of composite materials. 2nd edn. Oxford University Press, New York

    Google Scholar 

  • Fleck NA, Deng L, Budiansky B (1995) Prediction of kink width in compressed fiber composites. J Appl Mech 62: 329–337

    Article  MATH  Google Scholar 

  • Gustafson PA, Waas AM (2008) Efficient and robust traction laws for the modeling of adhesively bonded joints. In: Forty- nineth AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Schaumburg, Illinois, 7–10 April 2008

  • Hashin Z, Rotem A (1973) A fatigue failure criterion for fiber reinforced composite materials. J Compos Mater 7: 448–464

    Article  Google Scholar 

  • Herakovich CT (1998) Mechanics of fibrous composites. Wiley, New York

    Google Scholar 

  • Hinterhoelzl RM, Schpaery RA (2004) FEM implementation of a three-dimensional viscoelastic constitutive model for particulate composites with damage growth. Mech Time-Depend Mater 8: 65–94

    Article  ADS  Google Scholar 

  • Hinton MJ, Kaddour AS, Soden PD (2002) A comparison of the predictive capabilities of current failure theories for composite laminates, judeged against experimental evidence. Compos Sci Technol 62(2002): 1725–1797

    Article  CAS  Google Scholar 

  • Jones RM (1999) Mechanics of composite materials. 2nd edn. Taylor and Francis, Inc., Philadelphia

    Google Scholar 

  • Ladeveze P (1994) Inelastic strains and damage. In: Talreja R (eds) Damage mechanics of composite materials. Elsevier Science B.V., Amsterdam

    Google Scholar 

  • Lemaitre J (1996) A course on damage mechanics. 2nd edn. Springer-Verlag, Berlin

    MATH  Google Scholar 

  • Lemaitre J, Chaboche J-L (1994) Mechanics of solid materials. Cambridge University Press, Cambridge

    Google Scholar 

  • Maimi P, Camanho PP, Mayugo JA, Davila CG (2007) A continuum damage model for composite laminates. Part I: Constitutive model. Mech Mater 39: 897–908

    Article  Google Scholar 

  • McCartney LN (1987) Mechanics of marix cracking in brittle- matrix fiber-reinforced composites. Proc R Soc Lond Ser A 409(1837): 329–350

    Article  ADS  Google Scholar 

  • McCartney LN (1992) Mechanics for the growth of bridged cracks in composite materials: Part I. Basic principles. J Compos Technol Res 14(3): 133–154

    Article  Google Scholar 

  • McCartney LN (2003) Physically based damage models for laminated composites. Proc Inst Mech Eng Part L: J Mater: Des Appl 217: 163–199

    Google Scholar 

  • Nairn JA, Hu SU (1994) Matrix microcracking. In: Talreja R (eds) Damage mechanics of composite materials. Elsevier Science B.V., Amsterdam

    Google Scholar 

  • Nuismer RJ, Labor JD (1978) Application of the average stress failure criterion. Part I: Tension. J Compos Mater 12: 238–249

    Article  Google Scholar 

  • Ortiz M (1988) Microcrack coalescence and macroscopic crack growth initiation in brittle solids. Int J Solids Struct 24(3): 231–250

    Article  Google Scholar 

  • Paley M, Aboudi J (1992) Micromechanical analysis of composites by the generalized cells model. Mech Mater 14(2): 127–139

    Article  Google Scholar 

  • Pierron F, Green B, Winsom MR (2007a) Full-field assessment of the damage process of laminated composite open-hole tensile specimens. Part I: Methodology. Compos Part A 38: 2307–2320

    Article  Google Scholar 

  • Pierron F, Green B, Winsom MR, Hallet SR (2007b) Full-field assessment of the damage process of laminated composite open-hole tensile specimens. Part II: Experimental results. Compos Part A 38: 2321–2332

    Article  Google Scholar 

  • Pineda EJ, Waas AM, Bednarcyk BA, Collier CS, Yarrington PW (2008a) A novel multiscale physics based progressive failure methodology for laminated composite structures. In: Forty-nineth AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Schaumburg, Illinois, 7–10 April 2008

  • Pineda EJ, Waas AM, Bednarcyk BA, Collier CS (2008b) A novel, multiscale high fidelity progressive damage and failure modeling approach for laminated fiber reinforced composites. In: Proceedings of the American Society for composites twenty-third technical conference, Memphis, Tennessee, 9–11 September 2008

  • Pineda EJ, Waas AM, Bednarcyk BA, Collier CS, Yarrington PW (2008c) A novel multiscale physics based progrssive failure methodology for laminated composite structures. NASA-TM-2008-215448

  • Prat PC, Bazant ZP (1997) Tangential stiffness of elastic materials with systems of growing or closing cracks. J Mech Phys Solids 45(4): 611–636

    Article  ADS  CAS  Google Scholar 

  • Rice JR (1971) Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity. J Mech Phys Solids 19(6): 433–455

    Article  MATH  ADS  Google Scholar 

  • Satyanarayana A, Bogert PB, Chunchu PB (2007) The effect of delamination on damage path and failure load prediction for notched composite laminates. In: Forty-eighth AIAA structures, structural dynamics, and materials conference, Honolulu, Hawaii, 23–26 April 2007

  • Schapery RA (1990) A theory of mechanical behaviour of elastic media with growing damage and other changes in structure. J Mech Phys Solids 38(2): 215–253

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • Schapery RA (1995) Prediction of compressive strength and kink bands in composites using a work potential. Int J Solids Struct 32(6/7): 739–765

    Article  MATH  Google Scholar 

  • Schapery RA, Sicking DL (1995) On nonlinear constitutive equations for elastic and viscoelastic composites with growing damage. In: Bakker A (eds) Mechanical behaviour of materials. Delft University Press, Delft, pp 45–76

    Google Scholar 

  • Schuecker C, Pettermann HE (2008a) Fiber reinforced laminates: progressive damage modeling based on failure mechanisms. Arch Comput Methods Eng 15: 163–184

    Article  MATH  Google Scholar 

  • Schuecker C, Pettermann HE (2008b) Constitutive ply damage modeling, FEM implementation and analyses of laminated structures. Comput Struct 86: 908–918

    Article  Google Scholar 

  • Sicking DL (1992) Mechanical characterization of nonlinear laminated composites with transverse crack growth. Ph.D. Dissertation, Texas A&M University, College Station, Texas.

  • Soden PD, Hinton MJ, Kaddour AS (1998a) Lamina properties, lay-up configurations and loading conditions for a range of fibre-reinforced composite laminates. Compos Sci Technol 58: 1011–1022

    Article  CAS  Google Scholar 

  • Soden PD, Hinton MJ, Kaddour AS (1998b) A comparison of the predictive capabilites of current failure theories for composite laminates. Compos Sci Technol 58: 1225–1254

    Article  CAS  Google Scholar 

  • Talreja R (1985) Transverse cracking and stiffness reduction in composite laminates. J Compos Mater 19: 275–355

    Article  Google Scholar 

  • Talreja R (1994) Damage characterization by internal variables. In: Talreja R (eds) Damage mechanics of composite materials. Elsevier Science B.V., Amsterdam

    Google Scholar 

  • Talreja R (2006) Multi-scale modeling in damage mechanics of composite materials. J Mater Sci 41: 6800–6812

    Article  ADS  CAS  Google Scholar 

  • Talreja R (2008) Multi-scale modeling of composite solids with damage. In: Proceedings of the American Society for Composites Twenty-third Technical Conference, Memphis, Tennessee, 9–11 September

  • Tay TE, Liu G, Tan VBC, Sun XS, Pham DC (2008) Progressive failure analysis of composites. J Compos Mater 42: 1921–1966

    Article  Google Scholar 

  • Totry E, Gonzalez C, Llorca J (2008a) Failure locus of fiber-reinforced composites under transverse compression and out-of-plane shear. Compos Sci Technol 68: 829–839

    Article  CAS  Google Scholar 

  • Totry E, Gonzalez C, Llorca J (2008b) Influence of the loading path on the strength of fiber-reinforced composites subjected to transverse compression and shear. Int J Solids Struct 45: 1663–1675

    Article  MATH  CAS  Google Scholar 

  • Tsai SW (2009) Strength and life of composites. Aero & Astro, Stanford University

  • Whitney JM, Nuismer RJ (1974) Stress fracture criteria for laminated composites containing stress concentrations. J Compos Mater 8: 253–265

    Article  Google Scholar 

  • Wilt TE (1995) On the finite element implementation of the generalized method of cells micromechanics constitutive model. NASA-CR-195451

  • Xie D, Waas AM (2006) Discrete cohesive zone model for mixed-mode fracture using finite element analysis. Eng Fract Mech 73(13): 1783–1796

    Article  Google Scholar 

  • Yang Q, Cox B (2005) Cohesive models for damage evolution in laminated composites. Int J Fract 133: 107–137

    Article  Google Scholar 

  • Yerramalli CS, Waas AM (2003) A failure criterion for fiber reinforced polymer composites under combined compression-torsion loading. Int J Solids Struct 40(5): 1139–1164

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, 48109, USA

    Evan J. Pineda

  2. Department of Mechanical Engineering, Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, 48109, USA

    Anthony M. Waas

  3. NASA Glenn Research Center, Cleveland, OH, 44135, USA

    Brett A. Bednarcyk

  4. Collier Research Corporation, Hampton, VA, USA

    Craig S. Collier & Phillip W. Yarrington

Authors
  1. Evan J. Pineda
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  2. Anthony M. Waas
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  4. Craig S. Collier
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  5. Phillip W. Yarrington
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Correspondence to Anthony M. Waas.

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Pineda, E.J., Waas, A.M., Bednarcyk, B.A. et al. Progressive damage and failure modeling in notched laminated fiber reinforced composites. Int J Fract 158, 125–143 (2009). https://doi.org/10.1007/s10704-009-9370-3

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  • DOI: https://doi.org/10.1007/s10704-009-9370-3

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