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Erschienen in: International Journal of Material Forming 4/2013

01.12.2013 | Original Research

A multi-scale analysis of local stresses development during the cure of a composite tooling material

verfasst von: E. Lacoste, K. Szymanska, S. Terekhina, S. Fréour, F. Jacquemin, M. Salvia

Erschienen in: International Journal of Material Forming | Ausgabe 4/2013

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Abstract

This paper is dedicated to the cure of an in-plane isotropic carbon-epoxy tooling material presenting a specific mesostructure. Eshelby-Kröner self-consistent model (EKSC) is used to achieve a two-steps scale transition procedure, allowing relating microscopic to macroscopic properties of the material, and estimating its multi-scale mechanical states. This procedure is used to predict the local residual stresses due to thermal and chemical shrinkage of the resin, depending on the manufacturing process conditions. An experimental investigation provides the BMI resin cure kinetics and mechanical properties as a function of the temperature and conversion degree. The consequences of these evolutions on the local mechanical states are investigated and discussed.

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Literatur
1.
Zurück zum Zitat Adolf DB, Chambers RS (1997) Verification of the capability for quantitative stress prediction during epoxy cure. Polymer 38(21):5481–5490CrossRef Adolf DB, Chambers RS (1997) Verification of the capability for quantitative stress prediction during epoxy cure. Polymer 38(21):5481–5490CrossRef
2.
Zurück zum Zitat Bailleul JL (1997) Optimisation du cycle de cuisson des pièces épaisses en matériau composite. Application à un préimprégné résine époxyde/fibres de verre. Doctoral Thesis, University of Nantes Bailleul JL (1997) Optimisation du cycle de cuisson des pièces épaisses en matériau composite. Application à un préimprégné résine époxyde/fibres de verre. Doctoral Thesis, University of Nantes
3.
Zurück zum Zitat Berryman J, Berge P (1996) Critique of two explicit schemes for estimating elastic properties of multiphase composites. Mech Mater 22:149–164CrossRef Berryman J, Berge P (1996) Critique of two explicit schemes for estimating elastic properties of multiphase composites. Mech Mater 22:149–164CrossRef
4.
Zurück zum Zitat Bogetti TA, Gillespie JW (1992) Process-induced stress and deformation in thick-section thermo-set composite laminates. J Compos Mater 26:626–659CrossRef Bogetti TA, Gillespie JW (1992) Process-induced stress and deformation in thick-section thermo-set composite laminates. J Compos Mater 26:626–659CrossRef
5.
Zurück zum Zitat Dillman SH, Seferis JC (1987) Kinetic viscoelasticity for the dynamic mechanical properties of polymer system. J Macromol Sci Pure Appl Chem 27:749–772 Dillman SH, Seferis JC (1987) Kinetic viscoelasticity for the dynamic mechanical properties of polymer system. J Macromol Sci Pure Appl Chem 27:749–772
6.
Zurück zum Zitat Eshelby JD (1957) The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc R Soc Lond A241:376–396MathSciNetCrossRef Eshelby JD (1957) The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc R Soc Lond A241:376–396MathSciNetCrossRef
7.
Zurück zum Zitat Etienne S, Cavaillé JY, Perez J, Salvia M (1982) Automatic system for analysis of micromechanical properties. Rev Sci Instrum 53:1261–1266CrossRef Etienne S, Cavaillé JY, Perez J, Salvia M (1982) Automatic system for analysis of micromechanical properties. Rev Sci Instrum 53:1261–1266CrossRef
8.
Zurück zum Zitat Feyel F, Chaboche JL (2000) FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials. Comput Meth Appl 183(3–4):309–330CrossRefMATH Feyel F, Chaboche JL (2000) FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials. Comput Meth Appl 183(3–4):309–330CrossRefMATH
9.
Zurück zum Zitat Fiedler B, Hojo M, Ochiai S, Schulte K, Ando M (2001) Failure behavior of an epoxy matrix under different kinds of static loading. Compos Sci Technol 61:1615–1624CrossRef Fiedler B, Hojo M, Ochiai S, Schulte K, Ando M (2001) Failure behavior of an epoxy matrix under different kinds of static loading. Compos Sci Technol 61:1615–1624CrossRef
10.
Zurück zum Zitat Fréour S, Gloaguen D, François M, Guillén R (2004) Thermal properties of polycrystals - X-ray diffraction and scale transition modelling. Phys Status Solidi 201:59–71CrossRef Fréour S, Gloaguen D, François M, Guillén R (2004) Thermal properties of polycrystals - X-ray diffraction and scale transition modelling. Phys Status Solidi 201:59–71CrossRef
11.
Zurück zum Zitat Fréour S, Jacquemin F, Guillén R (2005) On an analytical self-consistent model for internal stress prediction in fiber-reinforced composites submitted to hygroelastic load. J Reinforc Plast Compos 24:1365–1377CrossRef Fréour S, Jacquemin F, Guillén R (2005) On an analytical self-consistent model for internal stress prediction in fiber-reinforced composites submitted to hygroelastic load. J Reinforc Plast Compos 24:1365–1377CrossRef
12.
Zurück zum Zitat Fréour S, Jacquemin F, Guillén R (2006) Extension of Mori-Tanaka approach to hygroelastic loading of fiber-reinforced composites - Comparison with Eshelby-Kröner self-consistent model. J Reinf Plast Compos 25:1039–1053CrossRef Fréour S, Jacquemin F, Guillén R (2006) Extension of Mori-Tanaka approach to hygroelastic loading of fiber-reinforced composites - Comparison with Eshelby-Kröner self-consistent model. J Reinf Plast Compos 25:1039–1053CrossRef
13.
Zurück zum Zitat Fréour S, Jacquemin F, Guillén R (2007) On the use of the geometric mean approximation in estimating the effective hygro-elastic behaviour of fiber-reinforced composites. J Mater Sci 42:7537–7543CrossRef Fréour S, Jacquemin F, Guillén R (2007) On the use of the geometric mean approximation in estimating the effective hygro-elastic behaviour of fiber-reinforced composites. J Mater Sci 42:7537–7543CrossRef
14.
Zurück zum Zitat Grandidier JC, Drapier S, Potier-Ferry M (2001) A structural approach of plastic microbuckling in long fibre composites: comparison with theoretical and experimental results. Int J Solid Struct 38:3877–3904CrossRefMATH Grandidier JC, Drapier S, Potier-Ferry M (2001) A structural approach of plastic microbuckling in long fibre composites: comparison with theoretical and experimental results. Int J Solid Struct 38:3877–3904CrossRefMATH
15.
Zurück zum Zitat Ha SK, Jin KK, Huang Y (2008) Effects of fiber arrangement on mechanical behavior of unidirectional composites. J Compos Mater 42:1851–1871CrossRef Ha SK, Jin KK, Huang Y (2008) Effects of fiber arrangement on mechanical behavior of unidirectional composites. J Compos Mater 42:1851–1871CrossRef
16.
Zurück zum Zitat Ha SK, Jin KK, Huang Y (2008) Micro-mechanics of failure (MMF) for continuous fiber reinforced composites. J Compos Mater 42:1873–1895CrossRef Ha SK, Jin KK, Huang Y (2008) Micro-mechanics of failure (MMF) for continuous fiber reinforced composites. J Compos Mater 42:1873–1895CrossRef
17.
Zurück zum Zitat Hashin Z, Shtrikman S (1963) A variational approach to the elastic behavior of multiphase materials. J Mech Phys Solid 11:127–140MathSciNetCrossRefMATH Hashin Z, Shtrikman S (1963) A variational approach to the elastic behavior of multiphase materials. J Mech Phys Solid 11:127–140MathSciNetCrossRefMATH
18.
Zurück zum Zitat Hexcel Composites France (2010) Hexply M61 Datasheet, Hextool User Guide and Hextool DataSheet (www.hexcel.com/); internal reports and exchanges with C. Dauphin and M. Bonnafoux (Hexcel Composites France), unpublished results Hexcel Composites France (2010) Hexply M61 Datasheet, Hextool User Guide and Hextool DataSheet (www.​hexcel.​com/​); internal reports and exchanges with C. Dauphin and M. Bonnafoux (Hexcel Composites France), unpublished results
19.
Zurück zum Zitat Hill R (1967) The essential structure of constitutive laws for metals composites and polycrystals. J Mech Phys Solid 15:79–95CrossRef Hill R (1967) The essential structure of constitutive laws for metals composites and polycrystals. J Mech Phys Solid 15:79–95CrossRef
20.
Zurück zum Zitat Jacquemin F, Fréour S, Guillén R (2005) A hygroelastic self-consistent model for fiber-reinforced composites. J Reinf Plast Compos 24:485–502CrossRef Jacquemin F, Fréour S, Guillén R (2005) A hygroelastic self-consistent model for fiber-reinforced composites. J Reinf Plast Compos 24:485–502CrossRef
21.
Zurück zum Zitat Jin KK, Huang Y, Lee YH, Ha SK (2008) Distribution of micro stresses and interfacial tractions in unidirectional composites. J Compos Mater 42:1825–1849CrossRef Jin KK, Huang Y, Lee YH, Ha SK (2008) Distribution of micro stresses and interfacial tractions in unidirectional composites. J Compos Mater 42:1825–1849CrossRef
22.
Zurück zum Zitat Kamal MR, Sourour S (1973) Kinetics and thermal characterization of thermosets cure. Polym Eng Sci 13:59–64CrossRef Kamal MR, Sourour S (1973) Kinetics and thermal characterization of thermosets cure. Polym Eng Sci 13:59–64CrossRef
23.
Zurück zum Zitat Kocks UF, Tomé CN, Wenk HR (1998) Texture and anisotropy. Cambridge University Press Kocks UF, Tomé CN, Wenk HR (1998) Texture and anisotropy. Cambridge University Press
24.
Zurück zum Zitat Kröner E (1958) Berechnung der elastischen Konstanten des Vielkristalls aus des Konstanten des Einkristalls. Z Phys 151:504–508CrossRef Kröner E (1958) Berechnung der elastischen Konstanten des Vielkristalls aus des Konstanten des Einkristalls. Z Phys 151:504–508CrossRef
25.
Zurück zum Zitat Kugler D, Moon TJ (2002) Identification of the most significant processing parameters on the development of fiber waviness in thin laminates. J Compos Mater 36(12):1451–1479CrossRef Kugler D, Moon TJ (2002) Identification of the most significant processing parameters on the development of fiber waviness in thin laminates. J Compos Mater 36(12):1451–1479CrossRef
26.
Zurück zum Zitat Lacoste E, Fréour S, Jacquemin F (2010) On the validity of the self-consistent scale transition model for inclusions with varying morphologies. Mech Mater 42:218–226CrossRef Lacoste E, Fréour S, Jacquemin F (2010) On the validity of the self-consistent scale transition model for inclusions with varying morphologies. Mech Mater 42:218–226CrossRef
27.
Zurück zum Zitat Matsuoka M, Quan X, Bair HE, Boyle DJ (1989) A model for the curing reaction of epoxy resins. Macromolecules 22:4093–4098CrossRef Matsuoka M, Quan X, Bair HE, Boyle DJ (1989) A model for the curing reaction of epoxy resins. Macromolecules 22:4093–4098CrossRef
28.
Zurück zum Zitat Menard KP (1999) Dynamic mechanical analysis: a practical introduction. CRC, Boca RatonCrossRef Menard KP (1999) Dynamic mechanical analysis: a practical introduction. CRC, Boca RatonCrossRef
29.
Zurück zum Zitat Mori T, Tanaka K (1973) Average stress in the matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 21:571–574CrossRef Mori T, Tanaka K (1973) Average stress in the matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 21:571–574CrossRef
30.
Zurück zum Zitat Moulinec H, Suquet P (1998) A numerical method for computing the overall response of nonlinear composites with complex microstructure. Comput Meth Appl Mech Eng 157:69–94MathSciNetCrossRefMATH Moulinec H, Suquet P (1998) A numerical method for computing the overall response of nonlinear composites with complex microstructure. Comput Meth Appl Mech Eng 157:69–94MathSciNetCrossRefMATH
31.
Zurück zum Zitat Msallem YA (2008) Caractérisation thermique et mécanique d’un matériau composite aéronautique pendant le procédé d’élaboration – Contribution à l’estimation des contraintes résiduelles. Doctoral Thesis, Ecole Centrale de Nantes Msallem YA (2008) Caractérisation thermique et mécanique d’un matériau composite aéronautique pendant le procédé d’élaboration – Contribution à l’estimation des contraintes résiduelles. Doctoral Thesis, Ecole Centrale de Nantes
32.
Zurück zum Zitat Msallem YA, Jacquemin F, Boyard N, Poitou A, Delaunay D, Chatel S (2010) Material characterization and residual stresses simulation during the manufacturing process of epoxy matrix composites. Compos Appl Sci Manuf 41(1):108–115CrossRef Msallem YA, Jacquemin F, Boyard N, Poitou A, Delaunay D, Chatel S (2010) Material characterization and residual stresses simulation during the manufacturing process of epoxy matrix composites. Compos Appl Sci Manuf 41(1):108–115CrossRef
33.
Zurück zum Zitat Mura T (1982) Micromechanics of defects in solids. Martinus Nijhoff Publishers, The HagueCrossRef Mura T (1982) Micromechanics of defects in solids. Martinus Nijhoff Publishers, The HagueCrossRef
34.
Zurück zum Zitat Niu K, Talreja R (2000) Modeling of compressive failure in fiber reinforced composites. Int J Solid Struct 37:2405–2428CrossRefMATH Niu K, Talreja R (2000) Modeling of compressive failure in fiber reinforced composites. Int J Solid Struct 37:2405–2428CrossRefMATH
35.
Zurück zum Zitat Parlevliet PP, Bersee HEN, Beukers A (2006) Residual stresses in thermoplastic composites – a study of the literature. Part I: Formation of residual stresses. Compos Appl Sci Manuf 37:1847–1857CrossRef Parlevliet PP, Bersee HEN, Beukers A (2006) Residual stresses in thermoplastic composites – a study of the literature. Part I: Formation of residual stresses. Compos Appl Sci Manuf 37:1847–1857CrossRef
36.
Zurück zum Zitat Parlevliet PP, Bersee HEN, Beukers A (2007) Residual stresses in thermoplastic composites – a study of the literature. Part II: Experimental techniques. Compos Appl Sci Manuf 38:651–665CrossRef Parlevliet PP, Bersee HEN, Beukers A (2007) Residual stresses in thermoplastic composites – a study of the literature. Part II: Experimental techniques. Compos Appl Sci Manuf 38:651–665CrossRef
37.
Zurück zum Zitat Parlevliet PP, Bersee HEN, Beukers A (2007) Residual stresses in thermoplastic composites – a study of the literature. Part III: Effects of thermal residual stresses. Compos Appl Sci Manuf) 38:1581–1596CrossRef Parlevliet PP, Bersee HEN, Beukers A (2007) Residual stresses in thermoplastic composites – a study of the literature. Part III: Effects of thermal residual stresses. Compos Appl Sci Manuf) 38:1581–1596CrossRef
38.
Zurück zum Zitat Pascault JP, Sautereau H, Verdu J, Williams R (2002) Thermosetting polymers. Marcel Dekker Inc. p. 157–196 Pascault JP, Sautereau H, Verdu J, Williams R (2002) Thermosetting polymers. Marcel Dekker Inc. p. 157–196
39.
Zurück zum Zitat Rabearison N, Jochum C, Grandidier JC (2009) A FEM coupling model for properties prediction during the curing of an epoxy matrix. Comput Mater Sci 45(3):715–724CrossRef Rabearison N, Jochum C, Grandidier JC (2009) A FEM coupling model for properties prediction during the curing of an epoxy matrix. Comput Mater Sci 45(3):715–724CrossRef
40.
Zurück zum Zitat Rosen VW (1965) Mechanics of composite strengthening. In: Fiber Composite Materials. American Society of Metals, Metals Park, Ohio, pp 37–75 Rosen VW (1965) Mechanics of composite strengthening. In: Fiber Composite Materials. American Society of Metals, Metals Park, Ohio, pp 37–75
41.
Zurück zum Zitat Sanford WM, McCullough RL (1990) A free-volume-based approach to modeling thermoset cure behavior. J Polymer Sci, Part B: Polymer Phys 28:973–1000CrossRef Sanford WM, McCullough RL (1990) A free-volume-based approach to modeling thermoset cure behavior. J Polymer Sci, Part B: Polymer Phys 28:973–1000CrossRef
42.
Zurück zum Zitat Sbirrazzuoli N, Vyazovkin S (2002) Learning about epoxy cure mechanisms from isoconversional analysis of DSC data. Thermochim Acta 388(1–2):289–298CrossRef Sbirrazzuoli N, Vyazovkin S (2002) Learning about epoxy cure mechanisms from isoconversional analysis of DSC data. Thermochim Acta 388(1–2):289–298CrossRef
43.
Zurück zum Zitat Schultheisz CR, Waas AM (1996) Compressive failure of composites, part I: testing and micromechanical theories. Prog Aerosp Sci 32(1):1–42CrossRef Schultheisz CR, Waas AM (1996) Compressive failure of composites, part I: testing and micromechanical theories. Prog Aerosp Sci 32(1):1–42CrossRef
44.
Zurück zum Zitat Schultheisz CR, Waas AM (1996) Compressive failure of composites, part II: Experimental studies. Prog Aerosp Sci 32(1):43–78CrossRef Schultheisz CR, Waas AM (1996) Compressive failure of composites, part II: Experimental studies. Prog Aerosp Sci 32(1):43–78CrossRef
45.
Zurück zum Zitat Terekhina S, Salvia M, Fouvry S (2011) Contact fatigue and wear behaviour of bismaleimide polymer subjected to fretting loading under various temperature conditions. Tribol Int 44(4):396–408CrossRef Terekhina S, Salvia M, Fouvry S (2011) Contact fatigue and wear behaviour of bismaleimide polymer subjected to fretting loading under various temperature conditions. Tribol Int 44(4):396–408CrossRef
46.
Zurück zum Zitat Tsai SW, Hahn HT (1980) Introduction to composite materials. Technomic, Westport Tsai SW, Hahn HT (1980) Introduction to composite materials. Technomic, Westport
47.
Zurück zum Zitat Welzel U, Fréour S, Mittemeijer EJ (2005) Direction-Dependent Elastic Grain-Interaction Models – A Comparative Study. Philos Mag 85:2391–2414CrossRef Welzel U, Fréour S, Mittemeijer EJ (2005) Direction-Dependent Elastic Grain-Interaction Models – A Comparative Study. Philos Mag 85:2391–2414CrossRef
48.
Zurück zum Zitat White SR, Kim KS (1998) Process-induced residual stress analysis of AS4/3501-6 composite material. Mech Compos Mater Struct 5:153–186CrossRef White SR, Kim KS (1998) Process-induced residual stress analysis of AS4/3501-6 composite material. Mech Compos Mater Struct 5:153–186CrossRef
49.
Zurück zum Zitat Zhao LG, Warrior NA, Long AC (2007) A thermo-viscoelastic analysis of process-induced residual stress in fibre-reinforced polymer-matrix composites. Mater Sci Eng, A 452–453:483–498CrossRef Zhao LG, Warrior NA, Long AC (2007) A thermo-viscoelastic analysis of process-induced residual stress in fibre-reinforced polymer-matrix composites. Mater Sci Eng, A 452–453:483–498CrossRef
Metadaten
Titel
A multi-scale analysis of local stresses development during the cure of a composite tooling material
verfasst von
E. Lacoste
K. Szymanska
S. Terekhina
S. Fréour
F. Jacquemin
M. Salvia
Publikationsdatum
01.12.2013
Verlag
Springer Paris
Erschienen in
International Journal of Material Forming / Ausgabe 4/2013
Print ISSN: 1960-6206
Elektronische ISSN: 1960-6214
DOI
https://doi.org/10.1007/s12289-012-1100-0

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