A multi-scale analysis of local stresses development during the cure of a composite tooling material
Source abstract
Abstract
This paper is dedicated to the cure of an in-plane isotropic carbon-epoxy tooling material presenting a specific mesostructure. Eshelby-Kroner 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.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Epoxy Resin Curing Processes · Composite Material Mechanics · Mechanical Behavior of Composites
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (49)
Show source-provided references
1. Adolf DB, Chambers RS (1997) Verification of the capability for quantitative stress prediction during epoxy cure. Polymer 38(21):5481–549010.1016/S0032-3861(97)00077-3 ↗
2. 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. Berryman J, Berge P (1996) Critique of two explicit schemes for estimating elastic properties of multiphase composites. Mech Mater 22:149–16410.1016/0167-6636(95)00035-6 ↗
4. Bogetti TA, Gillespie JW (1992) Process-induced stress and deformation in thick-section thermo-set composite laminates. J Compos Mater 26:626–65910.1177/002199839202600502 ↗
5. 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. Eshelby JD (1957) The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc R Soc Lond A241:376–39610.1098/rspa.1957.0133 ↗
7. Etienne S, Cavaillé JY, Perez J, Salvia M (1982) Automatic system for analysis of micromechanical properties. Rev Sci Instrum 53:1261–126610.1063/1.1137153 ↗
8. 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):309–33010.1016/S0045-7825(99)00224-8 ↗
9. 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 61:1615–162410.1016/S0266-3538(01)00057-4 ↗
10. Fréour S, Gloaguen D, François M, Guillén R (2004) Thermal properties of polycrystals - X-ray diffraction and scale transition modelling. Phys Status Solidi 201:59–7110.1002/pssa.200306732 ↗
11. 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 24:1365–137710.1177/0731684405049887 ↗
12. 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 25:1039–105310.1177/0731684406064998 ↗
13. 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 42:7537–754310.1007/s10853-007-1621-y ↗
14. 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 38:3877–390410.1016/S0020-7683(00)00247-X ↗
15. Ha SK, Jin KK, Huang Y (2008) Effects of fiber arrangement on mechanical behavior of unidirectional composites. J Compos Mater 42:1851–187110.1177/0021998308093910 ↗
16. Ha SK, Jin KK, Huang Y (2008) Micro-mechanics of failure (MMF) for continuous fiber reinforced composites. J Compos Mater 42:1873–189510.1177/0021998308093911 ↗
17. Hashin Z, Shtrikman S (1963) A variational approach to the elastic behavior of multiphase materials. J Mech Phys Solid 11:127–14010.1016/0022-5096(63)90060-7 ↗
18. 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. Hill R (1967) The essential structure of constitutive laws for metals composites and polycrystals. J Mech Phys Solid 15:79–9510.1016/0022-5096(67)90018-X ↗
20. Jacquemin F, Fréour S, Guillén R (2005) A hygroelastic self-consistent model for fiber-reinforced composites. J Reinf Plast Compos 24:485–50210.1177/0731684405045014 ↗
21. Jin KK, Huang Y, Lee YH, Ha SK (2008) Distribution of micro stresses and interfacial tractions in unidirectional composites. J Compos Mater 42:1825–184910.1177/0021998308093909 ↗
22. Kamal MR, Sourour S (1973) Kinetics and thermal characterization of thermosets cure. Polym Eng Sci 13:59–6410.1002/pen.760130110 ↗
23. Kocks UF, Tomé CN, Wenk HR (1998) Texture and anisotropy. Cambridge University Press
24. Kröner E (1958) Berechnung der elastischen Konstanten des Vielkristalls aus des Konstanten des Einkristalls. Z Phys 151:504–50810.1007/BF01337948 ↗
25. 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):1451–147910.1177/0021998302036012575 ↗
26. Lacoste E, Fréour S, Jacquemin F (2010) On the validity of the self-consistent scale transition model for inclusions with varying morphologies. Mech Mater 42:218–22610.1016/j.mechmat.2009.10.002 ↗
27. Matsuoka M, Quan X, Bair HE, Boyle DJ (1989) A model for the curing reaction of epoxy resins. Macromolecules 22:4093–409810.1021/ma00200a048 ↗
28. Menard KP (1999) Dynamic mechanical analysis: a practical introduction. CRC, Boca Raton10.1201/9781420049183 ↗
29. Mori T, Tanaka K (1973) Average stress in the matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 21:571–57410.1016/0001-6160(73)90064-3 ↗
30. Moulinec H, Suquet P (1998) A numerical method for computing the overall response of nonlinear composites with complex microstructure. Comput Meth Appl Mech Eng 157:69–9410.1016/S0045-7825(97)00218-1 ↗
31. 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. 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):108–11510.1016/j.compositesa.2009.09.025 ↗
33. Mura T (1982) Micromechanics of defects in solids. Martinus Nijhoff Publishers, The Hague10.1007/978-94-011-9306-1 ↗
34. Niu K, Talreja R (2000) Modeling of compressive failure in fiber reinforced composites. Int J Solid Struct 37:2405–242810.1016/S0020-7683(99)00010-4 ↗
35. 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 37:1847–185710.1016/j.compositesa.2005.12.025 ↗
36. 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 38:651–66510.1016/j.compositesa.2006.07.002 ↗
37. 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) 38:1581–159610.1016/j.compositesa.2006.12.005 ↗
38. Pascault JP, Sautereau H, Verdu J, Williams R (2002) Thermosetting polymers. Marcel Dekker Inc. p. 157–19610.1201/9780203908402 ↗
39. 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):715–72410.1016/j.commatsci.2008.11.007 ↗
40. Rosen VW (1965) Mechanics of composite strengthening. In: Fiber Composite Materials. American Society of Metals, Metals Park, Ohio, pp 37–75
41. Sanford WM, McCullough RL (1990) A free-volume-based approach to modeling thermoset cure behavior. J Polymer Sci, Part B: Polymer Phys 28:973–100010.1002/polb.1990.090280701 ↗
42. Sbirrazzuoli N, Vyazovkin S (2002) Learning about epoxy cure mechanisms from isoconversional analysis of DSC data. Thermochim Acta 388(1–2):289–29810.1016/S0040-6031(02)00053-9 ↗
43. Schultheisz CR, Waas AM (1996) Compressive failure of composites, part I: testing and micromechanical theories. Prog Aerosp Sci 32(1):1–4210.1016/0376-0421(94)00002-3 ↗
44. Schultheisz CR, Waas AM (1996) Compressive failure of composites, part II: Experimental studies. Prog Aerosp Sci 32(1):43–7810.1016/0376-0421(94)00002-3 ↗
45. 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):396–40810.1016/j.triboint.2010.11.014 ↗
46. Tsai SW, Hahn HT (1980) Introduction to composite materials. Technomic, Westport
47. Welzel U, Fréour S, Mittemeijer EJ (2005) Direction-Dependent Elastic Grain-Interaction Models – A Comparative Study. Philos Mag 85:2391–241410.1080/14786430500070685 ↗
48. White SR, Kim KS (1998) Process-induced residual stress analysis of AS4/3501-6 composite material. Mech Compos Mater Struct 5:153–18610.1080/10759419808945897 ↗
49. 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 452–453:483–49810.1016/j.msea.2006.10.060 ↗