Review of Damage Tolerant Analysis of Laminated Composites
Subject Areas : EngineeringX.L Fan 1 , Q Sun 2 , M Kikuchi 3
1 - State Key Laboratory for Mechanical Structural Strength and Vibration, School of Aerospace, Xi’an Jiao Tong University
2 - School of Aeronautics, Northwestern Polytechnical University
3 - Faculty of Science and Engineering, Tokyo University of Science
Keywords:
Abstract :
[1] Harris C.E., Starnes J.H., Shuart M.J., 2003, Advanced Durability and Damage Tolerance Design and Analysis Methods for Composite Structures, NASA/TM-2003-212420.
[2] Schmidt H.J., Brandecker B.S., 2003, Damage tolerance design and analysis of current and future aircraft structure, in: AIAA/ICAS International Air and Space Symposium and Exposition: the next 100 years, Dayton, Ohio, Paper No. 2003-2784.
[3] Sierakowski R.L., 2005, Damage tolerance: a status report, in: 46th AIAA/ ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference, 2005, Austin, Texas.
[4] Ransom J.B., Glaessgen E.H., Raju I.S., Harris, C.E., 2007, Recent advances in durability and damage tolerance methodology at NASA Langley Research Center, in: Proceedings of the 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Paper No.AIAA 2007-2377-CP, April 23-26, Honolulu, HI, USA.
[5] Tomblin J., Lacy T., Smith B., Hooper S., Vizzini A., Lee S., 1999, Review of damage tolerance for composite sandwich airframe structures, FAA, Report No. DOT/FAA/AR-99/49.
[6] Tomblin J.S., Raju K.S., Walker T., Acosta J.F., 2005, Damage tolerance of composite sandwich airframe structures-additional results, FAA, Report No. DOT/FAA/AR-05/33.
[7] Tomblin J.S., Raju K.S., Liew J., Smith, B.L., 2001, Impact damage characterization and damage tolerance of composite sandwich airframe structures-final report, FAA, Report No. DOT/FAA/AR-00/44.
[8] McGowan D.M., Ambur D.R., 1997, Damage-Tolerance Characteristics of Composite Fuselage Sandwich Structures with Thick Facesheets, NASA TM 110303.
[9] Moody R.C., Vizzini A.J., 1999, Damage tolerance of composite sandwich structures, FAA, Report No. DOT/FAA/AR-99/91.
[10] Williams J.G., 2005, NASA research in composite structure damage tolerance and composite applications in the oil industry, in: 46th AIAA Structures, Structural Dynamics & Materials Conference, Austin, Texas.
[11] Echaabi J.F., Trochu F., 1996, Review of failure criteria of fibrous composite materials, Polymer Composites 17: 786-798.
[12] Hinton M.J., Soden P.D., 1998, Predicting failure in composite laminated composites: the background to the exercise, Composite Science and Technology 58: 1001-1010.
[13] Soden P.D., Hinton M.J., Kaddour A.S., 1998, A comparison of the redictive capabilities of current failure theories for composite laminated composites, Composite Science and Technology 58: 1225-1254.
[14] Hinton M.J., Kaddour A.S., Soden P.D., 2002, A comparison of the predictive capabilities of current failure theories for composite laminated composites: Judged against experimental evidence, Composite Science and Technology 62: 1725-1797.
[15] Paris F., 2001, A Study of Failure Criteria of Fibrous Composite Materials, NASA/CR-2001-210661.
[16] Icardi U., Locatto S., Longo A., 2007, Assessment of recent theories for predicting failure of composite laminated composites, Applied Mechanics Review 60(3): 76-86.
[17] Miller A.G., Lowell D.T., Seferis J.C., 1994, The evolution of an aerospace material: influence of design, manufacturing and in-service performance, Composite Structures 27: 193-206.
[18] Bolotin V.V., 1996, Delaminations in composite structures: its origin, buckling, growth and stability, Composites: Part B 27A: 129-145.
[19] Miravete A., Jimenez M. A., 2002, Application of the finite element method to prediction of onset of delamination growth, Applied Mechanics Review 55(2): 89-106.
[20] Tay T.E., 2003, Characterization and analysis of delamination fracture in composites – an overview of developments from 1990 to 2001, Applied Mechanics Review 56(1): 1-32.
[21] Harris B., 2003, Fatigue in Composites, edited by Bryan Harris, CRC Press, New York.
[22] Reeder J.R., Crews J.H.Jr., 1990, Mixed-mode bending method for delamination testing, AIAA Journal 28: 1270-1276.
[23] Test Method D6671-01, Standard test method for mixed mode I-mode II interlaminar fracture toughness of unidirectional fiber reinforced polymer matrix composites, American Society for Testing and Materials (ASTM), West Conshohocken, PA, USA.
[24] Ramkumar R.L., Whitcomb J.D., 1985, Characterization of mode I and mixed mode delamination growth in T300/5028 graphite epoxy, ASTM STP 876: 315-335.
[25] O’Brien T.K., 1984, Mixed-mode strain energy release rate effects on the edge delamination of composites, ASTM STP 836: 125-142.
[26] Arcan M., Hashin Z., Voloshin A., 1978, A method to produce uniform plane-stress states with application to fiber-reinforced materials, Experimental Mechanics 18(4): 141-146.
[27] Bradley W.L., Cohen R.N., 1985, Matrix deformation and fracture in graphite reinforced epoxies, Delamination and Debonding of Materials, ASTM STP 876: 389-410.
[28] Russell A.I., Street K.N., 1987, The effect of matrix toughness on delamination: static and fatigue fracture under mode II shear loading of graphite fiber composites, ASTM STP 937: 275-294.
[29] Hashemi S., Kinloch A.I., Williams J.G., 1987, Interlaminar fracture of composite materials, in: 6th ICCM & 2nd ECCM Conference Proceedings, London, 3: 254-264.
[30] Whitcomb J.D., 1984, Analysis of instability-related growth of a through-width delamination, NASA TM-86301.
[31] Goyal V.K., Johnson E.R., Davila C.G., 2004, Irreversible constitutive law for modeling the delamination process using interfacial surface discontinuities, Computers and Structures 65(3-4): 289-305.
[32] Benzeggagh M.L., Kenane M., 1996, Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus, Composite Science and Technology 56(4): 439-449.
[33] Gong X.J., Benszeggagh M., 1995, Mixed mode interlaminar fracture toughness of unidirectional glass/epoxy composite, Composite Materials: Fatigue and Fracture, ASTM STP 1230, 3: 100-123.
[34] Reeder J., Kyongchan S., Chunchu P.B., Ambur D.R., 2002, Postbuckling and growth of delaminations in composite plates subjected to axial compression, in: Proceeding of the 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Denver, Colorado, Paper No. AIAA-2002-1746.
[35] Reeder J.R., 2006, 3D mixed-mode delamination fracture criteria—an experimentalist's perspective, in: Proceedings of the 21st Annual Technical Conference of the American Society for Composites, Lancaster, PA, 17-20.
[36] Davies P., Blackman B.R.K., Brunner A.J., 1998, Standard test methods for delamination resistance of composite materials: current status, Applied Composite Materials 5: 345-364.
[37] O’Brien T.K., 1998, Interlaminar fracture toughness: the long and winding road to standardization, Composites: Part B 29B: 57-62.
[38] Brunner A.J., 2000, Experimental aspects of mode I and mode II fracture toughness testing of fiber-reinforced polymer-matrix composites, Computer methods in applied mechanics and engineering 185(2-4): 161-172.
[39] Abrate S., 1998, Impact on Composite Structures, Cambridge University Press, Cambridge, UK.
[40] Schoeppner G.A., Abrate S., 2000, Delamination threshold loads for low velocity impact on composite laminated composites, Composites: Part A: Applied Science and Manufacturing 31: 903-915.
[41] Reid S.R., Zhou G., 2000, Impact Behavior of Fiber-Reinforced Composite Materials and Structures, edited by S.R. Reid, and G. Zhou, Loughborough University, UK.
[42] Poe C.C., Illg W., 1987, Strength of a Thick Graphite/Epoxy Rocket Motor Case after Impact by a Blunt Object, NASA TM-89099.
[43] Christoforou A.P., Swanson S. R., 1988, Strength loss in composite cylinders under impact, ASME Journal of Engineering Materials and Technology 110(2): 180-184.
[44] ASTM D6264/D6264M, 2007, Standard test method for measuring the damage resistance of a fibre reinforced polymer matrix composite to a concentrated quasi-static indentation force, American Society for Testing and Materials.
[45] ASTM D 7136/D 7136M, 2007, Standard test method for measuring the damage resistance of a fibre reinforced polymer matrix composite to a drop-weight impact event, American Society for Testing and Materials.
[46] Lopes C.S., Seresta O., Coquet Y., Gurdal Z., Camanho P.P., Thuis B., 2009, Low-velocity impact damage on dispersed stacking sequence laminated composites: Part I experiments, Composites Science and Technology 69(7-8): 926-936.
[47] Belingardi G., Vadori R., 2002, Low velocity impact tests of laminated glass-fiber-epoxy matrix composite material plates, International Journal of Impact Engineering27: 213-229.
[48] Shyr T.W., Pan Y.H., 2003, Impact resistance and damage characteristics of composite laminated composites, Composite Structures 62:193-203.
[49] Gao D., Zhang X., 1994, Impact damage prediction in carbon composite structure, International Journal of Impact Engineering 16(1): 149-170.
[50] Shen Z., Zhang Z.L., Wang J., Yang S.C., Ye L., 2004, Characterization of damage resistance and damage tolerance behaviour of composite laminates, Acta Materiae Composite Sinica 21(5): 140-145.
[51] Yew C.H., Kendrick R.B.,1987, A study of damage in composite panels produced by hypervelocity impact, International Journal of Impact Engineering5: 729-738.
[52] Lamontagne C.G., Manuelpillai G.N., Taylor E.A., Tennyson R.C., 1999, Normal and oblique hypervelocity impacts on carbon fibre/PEEK composites, International Journal of Impact Engineering23(1): 519-532.
[53] Christiansen E.L., 1990, Investigation of hypervelocity impact damage to space station truss tubes, International Journal of Impact Engineering 10: 125-133.
[54] Shortliffe G.D., Tennyson R.C., 1997, Hypervelocity impact tests on composite boom structures for space robot applications, Canadian Aeronautics and Space Journal 43(3): 195-202.
[55] Taylor E.A., Herbert M.K., Gardner D.J., Thomson R., Burchell M.J., 1998, Hypervelocity impact on spacecraft carbon fibre-reinforced plastic/aluminum honeycomb, Journal of Aerospace Engineering 221: 355-366.
[56] Vaidya U.K., Nelson S., Sinn B., Mathew B., 2001, Processing and high strain rate impact response of multi-functional sandwich composites, Composite Structures 52: 429-440.
[57] HICAS: High Velocity Impact of Composite Aircraft Structures, 1998-2000, CEC DG XII BRITE-EURAM Project BE 96-4238.
[58] Jiang F.C., Vecchio K.S., 2009, Hopkinson bar loaded fracture experimental technique: a critical review of dynamic fracture toughness tests, Applied Mechanics Review 62(6): 060802-060839.
[59] Elder D.J., Thomson R.S., Nguyen M.Q., Scott M.L., 2004, Review of delamination predictive methods for low speed impact of composite laminated composites, Composite Structures 66: 677-683.
[60] Rybichi E.F., Kanninen M.F., 1977, A finite element calculation of stress intensity factors by a modified crack closure integral, Engineering Fracture Mechanics 9: 931-938.
[61] Raju I.S., Shivakumar K.N., 1988, Three-dimensional elastic analysis of a composite double cantilever beam specimen, AIAA Journal 26(12): 1493-1498.
[62] Dugdale D.S.,1960, Yielding of steel sheets containing slits, Journal of the Mechanics and Physics of Solids 8: 100-104
[63] Barenblatt G.I., 1962, The mathematical theory of equilibrium cracks in brittle fracture, Advances in Applied Mechanics 7: 55-129.
[64] Murthy P.L.N., Chamis C.C., 1986, Integrated Composite Analyzer (ICAN): Users and Programmers Manual, NASA Technical Paper 2515.
[65] Allen D.H., Groves S.E., Harris C.E., 1988, A cumulative damage model for continuous fiber composite laminated composites with matrix cracking and interply delamination, ASTM STP 972: 57-80.
[66] Krueger R., 2004, Virtual crack closure technique: history, approach, and application, Applied Mechanics Review 57(2): 109-143.
[67] Irwin G.R.,1958, Fracture I, Handbuch der Physik VI, edited by S. Flügge, Springer Verlag, Berlin, Germany, 558-590.
[68] Krueger R., Minguet P.J., 2005, Skin-Stiffener Debond Prediction Based on Computational Fracture Analysis, NASA/CR-2005-213915.
[69] ABAQUS Analysis User’s Manual - Version 6.5, Volume I, 2005, ABAQUS Inc.
[70] Mabson G., Doper B., Deobald L., 2004, User Manual for Fracture and Traction Interface Elements - Version 1.3, The Boeing Company.
[71] Williams M.L., 1963, The Fracture of Visco-Elastic Material, Wiley Interscience Publishers, Drucker.
[72] Schapery R.A., 1975, A theory of crack initiation and growth in visco-elastic media, International Journal of Fracture 11(1): 141-159.
[73] Hillerborg A., Modeer M., Petersson P.E., 1976, Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements, Cement Concrete Research 6: 773-782.
[74] Unguwarungasri T., Knauss W.G., 1987, The role of damage-softened material behavior in the fracture of composites and adhesive, International Journal of Fracture 35:221-241.
[75] Needleman A., 1987, A continuum model for void nucleation by inclusion debonding, Journal of Applied Mechanics 54: 525-531.
[76] Needleman A., 1990, An analysis of decohesion along an imperfect interface, International Journal of Fracture 42: 21-40.
[77] Shahwan K.L., Wass A. M., 1997, Non-self-similar decohesion along a finite interface of unilaterally constrained delaminations, in: Proceeding of the Royal Society of London 453: 515-550.
[78] Ortiz M., Pandolfi A., 1999, Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis, International Journal for Numerical Methods in Engineering 44(9): 1267-1282.
[79] Yu C., 2001, Three Dimensional Cohesive Modeling of Impact Damage of Composites, PhD Thesis, Pasadena, CA.
[80] Corigliano A., Mariani S., Pandolfi A., 2006, Numerical analysis of rate-dependent dynamic composite delamination, Composites Science and Technology 66: 766-775.
[81] Reddy Jr.E.D., Mello F.J., Guess T.R.,1997, Modeling the initiation and growth of delaminations in composite structures, Journal of Composite Materials 31: 812-831.
[82] Petrossian Z., Wisnom M.R., 1998, Prediction of delamination initiation and growth from discontinuous plies using interface elements, Composites: Part A 29: 503-515.
[83] Mi Y., Crisfield M.A., Davies G.A.O., Hellweg H.B.,1998, Progressive delamination using interface elements, Journal of Composite Materials 32: 1246-1273.
[84] Turon A., Camanho P.P., Costa J., Davila C.G., 2006, A damage model for the simulation of delamination in advanced composites under variable-mode loading, Mechanics of Materials 38(11): 1072-1089.
[85] Rice J.R., 1968, A path independent integral and the approximate analysis of strain concentration by notches and cracks, Journal of Applied Mechanics 31: 379-386.
[86] Crisfield M.A., Hellweg H.B., Davies G.A.O., 1997, Failure analysis of composite structures using interface elements, in: Proceedings of the NAFEMS Conference on Application of Finite Elements to Composite Materials, London, U.K.
[87] Camanho P.P., Dávila C.G., Ambur D.R., 2001, Numerical Simulation of Delamination Growth in Composite Materials, NASA TP-2001-211041.
[88] Pandey A.K., Reddy J.N., 1987, A post first-ply failure analysis of composite laminated composites, in: Proceedings of the AIAA/ASME/ASCE/AHS/ASC 28th Structures, Structural Dynamics, and Materials Conference, 788-797.
[89] Ochoa O.O., Engblom J.J., 1987, Analysis of failure in composites, Composites Science and Technology 28: 87-102.
[90] Chang F.K., Chang K.Y., 1987, A progressive damage model for laminated composites containing stress concentrations, Journal of Composite Materials 21: 834-855.
[91] Chang F.K., Chang K.Y., 1987, Post-failure analysis of bolted composite joints in tension or shear-out Mode failure, Journal of Composite Materials 21: 809-833.
[92] Chang F.K., Lessard L.,1989, Modeling compression failure in laminated composite plates containing an open hole, in: Proceedings of the AIAA/ASME/ASCE/AHS/ASC 30th Structures, Structural Dynamics and Materials Conference, 979-988.
[93] Reddy Y.S., Reddy J.N., 1992, Linear and non-linear failure analysis of composite laminated composites with transverse shear, Composites Science and Technology 44: 227-255.
[94] Reddy Y.S., Reddy J.N., 1993, Three-dimensional finite element progressive failure analysis of composite laminated composites under axial extension, Journal of Composites Technology and Research 15(2): 73-87.
[95] Engelstad S.P., Reddy J.N., Knight N.F., 1992, Postbuckling response and failure prediction of graphite-epoxy plates loaded in compression, AIAA Journal 30(8):2106-2113.
[96] Coats T.W., 1996, A Progressive Damage Methodology for Residual Strength Predictions of Center-Crack Tension Composite Panels, PhD Dissertation, Old Dominion University.
[97] Irvin F.B., Ginty C.A., 1986, Progressive fracture of fiber composites, Journal of Composite Materials 20: 166-184.
[98] Huang D., Minnetyan L., 1998, Damage progression in carbon-fiber reinforced I-beams, ASCE Journal of Composites for Construction 2: 38-45.
[99] Sleight D.W., 1999, Progressive Failure Analysis Methodology for Laminated Composite Structures, NASA/TP-209107.
[100] Knight Jr.N.F., 2006, User-Defined Material Model for Progressive Failure Analysis, NASA/CR-214526.
[101] Gotsis P.K., Chamis C.C., Minnetyan L., 1995, Effect of combined loads in the durability of a stiffened adhesively bonded composite structure, in: Proceedings of the 36th AIAA/ASME/ASCE/AHS/ ASC Structures, Structural Dynamics, and Material Conference, AIAA-95-1283-CP 2: 1083-1092.
[102] Gotsis P.K., Chamis C.C., David K., Abdi F., 2007, Progressive Fracture of Laminated Composite Stiffened Plate, NASA/TM-2007-214927.
[103] Chamis C.C., Gotsis P.K., Minnetyan L., 1996, Damage progression in bolted composite structures, in: Proceedings of the 1995 USAF Structural Integrity Program Conference ASIP II: 663-679.
[104] Coats T.W., Harris C.E, 1998, A Progressive Damage Methodology for Residual Strength Predictions of Notched Composite Panels, NASA TM-1998-207646.
[105] Gotsis P.K., Chamis C.C., Minnetyan L., 1996, Progressive Fracture of Fiber Composite Shell Structures Under Internal Pressure and Axial Loads, NASA TM-07234.
[106] Ochoa O., Reddy J.N., 1992, Finite Element Analysis of Composite Lamaintes, Kluwer Academic Publishers, Dordrecht, Netherlands.
[107] Garnich M.R., Akula M.K., 2009, Review of degradation models for progressive failure analysis of fiber reinforced polymer composites, Applied Mechanics Review 62: 010801.
[108] Nahas M.N., 1986, Survey of failure and post-failure theories of laminated fiber-reinforced composites, Journal of Composites Technology and Research 8(4): 138-153.
[109] Tsai S.W., 1984, A survey of macroscopic failure criteria for composite materials, Journal of Reinforced Plastics and Composites 3: 40-63.
[110] Icardi U., Locatto S., Longo A., 2007, Assessment of recent theories for predicting failures of composite laminated composites, Applied Mechanics Review 60(2): 76-86.
[111] Tsai S. W., 1965, Strength Characteristics of Composite Materials, NASA CR-224.
[112] Hill R., 1948, A theory of the yielding and plastic flow of anisotropic metals, in: Proceedings of the Royal Society of London, Series A, 193: 281-297.
[113] Tsai S.W., Wu E.M., 1971, A general theory of strength for anisotropic materials, Journal of Composite Materials 5: 58-80.
[114] Hashin Z., 1980, Failure criteria for unidirectional fiber composites, ASME Journal of Applied Mechanics 47(2): 329-334.
[115] Hoffman O., 1967, The brittle strength of orthotropic materials, Journal of Composite Materials 1: 200-206.
[116] Chamis C.C., 1969, Failure criteria for filamentary composites, Composite Materials: Testing and Design, ASTM STP 460: 336-351.
[117] Azzi V.D., Tsai S.W., 1965, Anisotropic Strength of Composites, Experimental Mechanics, 283-288.
[118] Hashin Z., Rotem A., 1973, A fatigue failure criterion for fiber reinforced materials, Journal of Composite Materials 7(4): 448-464.
[119] Christensen R.M., 1997, Stress based yield/failure criteria for fiber composites, International Journal of Solids and Structures 34(5): 529-543.
[120] Mayes J.S., Hansen A.C., 2001, Multicontinuum failure analysis of composite structural laminated composites, Mechanics of Composite Materials and Structures 8(4): 249-262.
[121] Murray Y., Schwer L., 1990, Implementation and verification of fiber-composite damage models, Failure Criteria and Analysis in Dynamic Response, ASME AMD, 107: 21-30.
[122] Lee J.D., 1982, Three dimensional finite element analysis of damage accumulation in composite laminated, Computers and Structures 15(3): 335-350.
[123] Engblom J.J., Ochoa O.O., 1986, Finite element formulation including interlaminar stress calculations, Computers and Structures 23(2): 241-249.
[124] Hwang W.C., Sun C.T., 1989, Failure analysis of laminated composites by using iterative three-dimensional finite element method, Computers and Structures 33(1): 41-47.
[125] Kweon J.H., 2002, Crippling analysis of composite stringers based on complete unloading method, Computers and Structures 80(27–30): 2167-2175.
[126] Huang Z.M., 2004, A bridging model prediction of the ultimate strength of composite laminated composites subjected to biaxial loads, Composite Science and Technology 64(3–4): 395-448.
[127] Sandhu R.S., 1974, Nonlinear behavior of unidirectional and angle ply laminated composites, AIAA Journal of Aircraft 13: 104-111.
[128] Kwon Y.W., Berner J.M., 1994, Analysis of matrix damage evolution in laminated composite plates, Engineering Fracture Mechanics 48(6): 811-817.
[129] Reddy Y.S.N., Moorthy C.M.D., Reddy J.N., 1995, Non-linear progressive failure analysis of laminated composite plates, International Journal of Non-Linear Mechanics 30(5): 629-649.
[130] Puck A., Schürmann H., 1998, Failure analysis of FRP laminated composites by means of physically based phenomenological models, Composite Science and Technology 58(7): 1045-1067.
[131] Joo S.G., Hong C.S., 2000, Progressive failure analysis of composite laminated composites using 3-D finite element method, Key Engineering Materials 183-187: 535-540.
[132] Puck A., Schürmann H., 2002, Failure analysis of FRP laminated composites by means of physically based phenomenological models—Part B, Composite Science and Technology 62(12–13): 1633-1662.
[133] Voyiadjis G.Z., Kattan P.I., 2005, Damage Mechanics, CRC Press, New York.
[134] Knops M., Bogle C., 2006, Gradual failure in fibre/polymer laminated composites, Composite Science and Technology 66(5): 616-625.
[135] Hahn H.T., Tsai S.W., 1983, On the behavior of composite laminated composites after initial failures, Astronautics and Aeronautics 21: 58-62.
[136] Belytschko T., Black T., 1999, Elastic crack growth in finite elements with minimal remeshing, International Journal of Fracture Mechanics 45: 601-620.
[137] Moës N., Dolbow J., Belytschko T.,1999, A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering 46: 131-150.
[138] Dolbow J.E., 1999, An Extended Finite Element Method with Discontinuous Enrichment for Applied Mechanics, PhD dissertation, Theoretical and Applied Mechanics, Northwestern University, USA.
