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2012 | OriginalPaper | Buchkapitel

Micromechanical Analysis of Mode I Crack Growth in Carbon Fibre Reinforced Polymers

verfasst von : Daniel Trias, Pere Maimí

Erschienen in: Damage and Fracture of Composite Materials and Structures

Verlag: Springer Berlin Heidelberg

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Abstract

Computational micromechanics models offer the possibility of analysis and quantification of the failure mechanisms that take place at the micro-scale level and are the responsible of the damage in the composite with high accuracy and with the need for very few hypotheses. Although these kind of analyses are common in current scientific literature, the analysis performed are generally limited to the stress/strain fields. This work makes use of a micromechanical model to analyze the crack tip and the cohesive zone of an interlaminar crack loaded in mode I for a carbon fiber reinforced polymer (CFRP). A periodic square fibre distribution is assumed and modelled in a FE environment and a degradation law is used to simulate damage in the matrix. This simulation allows both stress and strain quantification during crack opening and fracture mechanics analysis, such as the estimation of the critical value of the energy release rate and the quantification of the length of the cohesive zone, which is a parameter required for the application of cohesive elements.

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Literatur
1.
Zurück zum Zitat Allix, O., Corigliano, A.: Modeling and simulation of crack propagation in mixed-modes interlaminar fracture specimens. Int. J. Fract. 77(2), 111–140 (1996)CrossRef Allix, O., Corigliano, A.: Modeling and simulation of crack propagation in mixed-modes interlaminar fracture specimens. Int. J. Fract. 77(2), 111–140 (1996)CrossRef
2.
Zurück zum Zitat Asp, L.E., Berglund, L.A., Gudmunson, P.: Effects of a composite-like stress state on the fracture of epoxies. Compos. Sci. Technol. 53(1), 27–37 (1995)CrossRef Asp, L.E., Berglund, L.A., Gudmunson, P.: Effects of a composite-like stress state on the fracture of epoxies. Compos. Sci. Technol. 53(1), 27–37 (1995)CrossRef
3.
Zurück zum Zitat Asp, L.E., Berglund, L.A., Talreja, R.: A criterion for crack initiation in glassy polymers subjected to a composite-like stress state. Compos. Sci. Technol. 56(11), 1291–1301 (1996)CrossRef Asp, L.E., Berglund, L.A., Talreja, R.: A criterion for crack initiation in glassy polymers subjected to a composite-like stress state. Compos. Sci. Technol. 56(11), 1291–1301 (1996)CrossRef
4.
Zurück zum Zitat Asp, L.E., Berglund, L.A., Talreja, R.: Prediction of matrix-initiated transverse failure in polymer composites. Compos. Sci. Technol. 56(9), 1089–1097 (1996)CrossRef Asp, L.E., Berglund, L.A., Talreja, R.: Prediction of matrix-initiated transverse failure in polymer composites. Compos. Sci. Technol. 56(9), 1089–1097 (1996)CrossRef
5.
Zurück zum Zitat American Standard Test Methods (ASTM).: Standard Test Method for Mode I Interlaminar Fracture Toughness of Unidirectional Fiber-Reinforced Polymer Matrix Composites. ASTM D5528-01 (2001) American Standard Test Methods (ASTM).: Standard Test Method for Mode I Interlaminar Fracture Toughness of Unidirectional Fiber-Reinforced Polymer Matrix Composites. ASTM D5528-01 (2001)
6.
Zurück zum Zitat Barenblatt, G.: The mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech. 7, 55–129 (1962)CrossRefMathSciNet Barenblatt, G.: The mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech. 7, 55–129 (1962)CrossRefMathSciNet
7.
Zurück zum Zitat Borg, R., Nilsson, L., Simonsson, K.: Modeling of delamination using a discretized cohesive zone and damage formulation. Compos. Sci. Technol. 62(10-11), 1299–1314 (2002)CrossRef Borg, R., Nilsson, L., Simonsson, K.: Modeling of delamination using a discretized cohesive zone and damage formulation. Compos. Sci. Technol. 62(10-11), 1299–1314 (2002)CrossRef
8.
Zurück zum Zitat Chen, J., Crisfield, M., Kinloch, A.J., Busso, E.P., Matthews, F.L., Qiu, Y.: Predicting progressive delamination of composite material specimens via interface elements. Mech. Compos. Mater. Struct. 6(4), 301–317 (1999) Chen, J., Crisfield, M., Kinloch, A.J., Busso, E.P., Matthews, F.L., Qiu, Y.: Predicting progressive delamination of composite material specimens via interface elements. Mech. Compos. Mater. Struct. 6(4), 301–317 (1999)
9.
Zurück zum Zitat Crews, J.H., Shivakumar, K.N., Raju, I.S.: Factors influencing elastic stresses in double cantilever beam specimens. NASA Technical Memorandum 89033 (1986) Crews, J.H., Shivakumar, K.N., Raju, I.S.: Factors influencing elastic stresses in double cantilever beam specimens. NASA Technical Memorandum 89033 (1986)
10.
Zurück zum Zitat Crews, J.H., Shivakumar, K.N., Raju, I.S.: A fiber-resin micromechanics analysis of the delamination front in a DCB specimen. NASA Technical Memorandum 100540 (1988) Crews, J.H., Shivakumar, K.N., Raju, I.S.: A fiber-resin micromechanics analysis of the delamination front in a DCB specimen. NASA Technical Memorandum 100540 (1988)
11.
Zurück zum Zitat Dugdale, D.S.: Yielding of steel sheets containing slits. J. Mech. Phys. Solids 8, 100–104 (1960)CrossRef Dugdale, D.S.: Yielding of steel sheets containing slits. J. Mech. Phys. Solids 8, 100–104 (1960)CrossRef
12.
Zurück zum Zitat Falk, M.L., Needleman, A., Rice, J.R.: A critical evaluation of cohesive zone models of dynamic fracture. J. Phys. IV, 543–550 (2001) Falk, M.L., Needleman, A., Rice, J.R.: A critical evaluation of cohesive zone models of dynamic fracture. J. Phys. IV, 543–550 (2001)
13.
Zurück zum Zitat Fiedler, B., Hojo, M., Ochiai, S., Schulte, K., Ando, M.: Failure behavior of an epoxy matrix under different kinds of static loading. Compos. Sci. Technol. 61(11), 1615–1624 (2001)CrossRef Fiedler, B., Hojo, M., Ochiai, S., Schulte, K., Ando, M.: Failure behavior of an epoxy matrix under different kinds of static loading. Compos. Sci. Technol. 61(11), 1615–1624 (2001)CrossRef
14.
Zurück zum Zitat Gdoutos, E.E.: Fracture Mechanis Criteria and Applications. Kluwer, Dordrecht (1990)CrossRef Gdoutos, E.E.: Fracture Mechanis Criteria and Applications. Kluwer, Dordrecht (1990)CrossRef
15.
Zurück zum Zitat Greenhalgh, E.S.: Delamination growth in carbon-fibre composite structures. Compos. Struct. 23(2), 165–175 (1993)CrossRef Greenhalgh, E.S.: Delamination growth in carbon-fibre composite structures. Compos. Struct. 23(2), 165–175 (1993)CrossRef
16.
Zurück zum Zitat Hillerborg, A., Modéer, M., Petersson, P.E.: Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem. Concr. Res. 6, 773–782 (1976)CrossRef Hillerborg, A., Modéer, M., Petersson, P.E.: Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem. Concr. Res. 6, 773–782 (1976)CrossRef
17.
Zurück zum Zitat Hui, C.Y., Jagota, A., Bennison, S.J., Londono, J.D.: Crack blunting and the strength of soft elastic solids. Proc. R. Soc. Lond. Ser. A. 459, 1489–1516 (2003)CrossRefMATH Hui, C.Y., Jagota, A., Bennison, S.J., Londono, J.D.: Crack blunting and the strength of soft elastic solids. Proc. R. Soc. Lond. Ser. A. 459, 1489–1516 (2003)CrossRefMATH
18.
Zurück zum Zitat Hunston, Moulton et al.: Matrix resin effects in composite delamination. In: Johnston N.J. (ed.) Toughned Composites. ASTM STP vol. 937, pp. 74–94. ASTM International, West Conshohocken, Philadelphia, USA (1987) Hunston, Moulton et al.: Matrix resin effects in composite delamination. In: Johnston N.J. (ed.) Toughned Composites. ASTM STP vol. 937, pp. 74–94. ASTM International, West Conshohocken, Philadelphia, USA (1987)
19.
Zurück zum Zitat Irwin, G.R.: Plastic zone near a crack and fracture toughness. In: Proceedings of the Seventh Sagamore Ordnance Materials Conference, vol. 4, pp. 63–78. Syracuse University, New York (1960) Irwin, G.R.: Plastic zone near a crack and fracture toughness. In: Proceedings of the Seventh Sagamore Ordnance Materials Conference, vol. 4, pp. 63–78. Syracuse University, New York (1960)
20.
Zurück zum Zitat International Standards Organization (ISO).: Standard test Method for Mode I Interlaminar Fracture Toughness, GIC, of Unidirectional fibre-reinforced Polymer Matrix Composites. ISO 15024 (2001) International Standards Organization (ISO).: Standard test Method for Mode I Interlaminar Fracture Toughness, GIC, of Unidirectional fibre-reinforced Polymer Matrix Composites. ISO 15024 (2001)
21.
Zurück zum Zitat Krüger, R.: The Virtual Crack Closure Technique: History, Approach and Applications. NASA/CR-2002-211628. NASA/CR-2002-211628 (2002) Krüger, R.: The Virtual Crack Closure Technique: History, Approach and Applications. NASA/CR-2002-211628. NASA/CR-2002-211628 (2002)
22.
Zurück zum Zitat Krüger, R., Cvitkovich, M.K., O’Brien, T.K., Minguet, P.J.: Testing and analysis of composite skin/stringer debonding under multi-axial loading. J. Compos. Mater. 34(15), 1263–1300 (2000) Krüger, R., Cvitkovich, M.K., O’Brien, T.K., Minguet, P.J.: Testing and analysis of composite skin/stringer debonding under multi-axial loading. J. Compos. Mater. 34(15), 1263–1300 (2000)
23.
Zurück zum Zitat Ladevéze, P., Allix, O., Gornet, L., Lèveque, D.: A computational damage mechanics approach for laminates: identification and comparisons with experimental results. In: Voyiadkjis, G.Z., Ju, J.W.W., Chaboche, J.L. (eds.): Damage Mechanics in Engineering Materials, pp. 481–499. Elsevier Science B.V., North Holland (1998) Ladevéze, P., Allix, O., Gornet, L., Lèveque, D.: A computational damage mechanics approach for laminates: identification and comparisons with experimental results. In: Voyiadkjis, G.Z., Ju, J.W.W., Chaboche, J.L. (eds.): Damage Mechanics in Engineering Materials, pp. 481–499. Elsevier Science B.V., North Holland (1998)
24.
Zurück zum Zitat Liang, Y.-M., Liechti, K.M.: On the large deformation and localization behavior of an epoxy resin under multiaxial stress states.. Int. J. Solids Struct. 33(10), 1479–1500 (1996)CrossRef Liang, Y.-M., Liechti, K.M.: On the large deformation and localization behavior of an epoxy resin under multiaxial stress states.. Int. J. Solids Struct. 33(10), 1479–1500 (1996)CrossRef
25.
Zurück zum Zitat Rice J.: The mechanics of earthquake rupture, physics of the earth’s interior. In: Dziewonski, A.M., Boschi, E. (eds.) Proceedings of the International School of Physics Enrico Fermi, Course 78, 1979, pp. 555–649, Italian Physical Society and North-Holland (1980) Rice J.: The mechanics of earthquake rupture, physics of the earth’s interior. In: Dziewonski, A.M., Boschi, E. (eds.) Proceedings of the International School of Physics Enrico Fermi, Course 78, 1979, pp. 555–649, Italian Physical Society and North-Holland (1980)
26.
Zurück zum Zitat Turon, A., Camanho, P.P., Costa, J., Dávila, C.G.: A damage model for the simulation of delamination in advanced composites under variable-mode loading. Mech. Mater. 38(11), 1072–1089 (2006)CrossRef Turon, A., Camanho, P.P., Costa, J., Dávila, C.G.: A damage model for the simulation of delamination in advanced composites under variable-mode loading. Mech. Mater. 38(11), 1072–1089 (2006)CrossRef
27.
Zurück zum Zitat Turon, A., Costa, J., Camanho, P., Maimí, P.: Analytical and Numerical Investigation of the Length of the Cohesive Zone in Delaminated Composite in Mechanical Response of Composites, pp. 77–97. Springer, Heidelberg (2008) Turon, A., Costa, J., Camanho, P., Maimí, P.: Analytical and Numerical Investigation of the Length of the Cohesive Zone in Delaminated Composite in Mechanical Response of Composites, pp. 77–97. Springer, Heidelberg (2008)
28.
Zurück zum Zitat Maugin, G. A.: The Thermomechanics of Nonlinear Irreversible Behaviors.An Introduction. World Scientific Publishing, London (1999). Maugin, G. A.: The Thermomechanics of Nonlinear Irreversible Behaviors.An Introduction. World Scientific Publishing, London (1999).
Metadaten
Titel
Micromechanical Analysis of Mode I Crack Growth in Carbon Fibre Reinforced Polymers
verfasst von
Daniel Trias
Pere Maimí
Copyright-Jahr
2012
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-23659-4_3

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