Skip to main content
Erschienen in: Applied Composite Materials 5/2016

01.10.2016

Prediction of Process-Induced Distortions in L-Shaped Composite Profiles Using Path-Dependent Constitutive Law

verfasst von: Anxin Ding, Shuxin Li, Jihui Wang, Aiqing Ni, Liangliang Sun, Lei Chang

Erschienen in: Applied Composite Materials | Ausgabe 5/2016

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this paper, the corner spring-in angles of AS4/8552 L-shaped composite profiles with different thicknesses are predicted using path-dependent constitutive law with the consideration of material properties variation due to phase change during curing. The prediction accuracy mainly depends on the properties in the rubbery and glassy states obtained by homogenization method rather than experimental measurements. Both analytical and finite element (FE) homogenization methods are applied to predict the overall properties of AS4/8552 composite. The effect of fiber volume fraction on the properties is investigated for both rubbery and glassy states using both methods. And the predicted results are compared with experimental measurements for the glassy state. Good agreement is achieved between the predicted results and available experimental data, showing the reliability of the homogenization method. Furthermore, the corner spring-in angles of L-shaped composite profiles are measured experimentally and the reliability of path-dependent constitutive law is validated as well as the properties prediction by FE homogenization method.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Zurück zum Zitat Joven, R., Tavakol, B., Rodriguez, A., Guzman, M., Minaie, B.: Characterization of shear stress at the tool-part interface during autoclave processing of prepreg composites. J. Appl. Polym. Sci. 129(4), 2017–2028 (2013)CrossRef Joven, R., Tavakol, B., Rodriguez, A., Guzman, M., Minaie, B.: Characterization of shear stress at the tool-part interface during autoclave processing of prepreg composites. J. Appl. Polym. Sci. 129(4), 2017–2028 (2013)CrossRef
2.
Zurück zum Zitat Roozbehjavan, P., Tavakol, B., Ahmed, A., Koushyar, H., Das, R., Joven, R., Minaie, B.: Experimental and numerical study of distortion in flat, L-shaped, and U-shaped carbon fiber–epoxy composite parts. J. Appl. Polym. Sci. 131(13), n/a-n/a (2014) Roozbehjavan, P., Tavakol, B., Ahmed, A., Koushyar, H., Das, R., Joven, R., Minaie, B.: Experimental and numerical study of distortion in flat, L-shaped, and U-shaped carbon fiber–epoxy composite parts. J. Appl. Polym. Sci. 131(13), n/a-n/a (2014)
3.
Zurück zum Zitat Mezeix, L., Seman, A., Nasir, M.N.M., Aminanda, Y., Rivai, A., Castanié, B., Olivier, P., Ali, K.M.: Spring-back simulation of unidirectional carbon/epoxy flat laminate composite manufactured through autoclave process. Compos. Struct. 124, 196–205 (2015)CrossRef Mezeix, L., Seman, A., Nasir, M.N.M., Aminanda, Y., Rivai, A., Castanié, B., Olivier, P., Ali, K.M.: Spring-back simulation of unidirectional carbon/epoxy flat laminate composite manufactured through autoclave process. Compos. Struct. 124, 196–205 (2015)CrossRef
4.
Zurück zum Zitat Kappel, E., Stefaniak, D., Fernlund, G.: Predicting process-induced distortions in composite manufacturing – a pheno-numerical simulation strategy. Compos. Struct. 120, 98–106 (2015)CrossRef Kappel, E., Stefaniak, D., Fernlund, G.: Predicting process-induced distortions in composite manufacturing – a pheno-numerical simulation strategy. Compos. Struct. 120, 98–106 (2015)CrossRef
5.
Zurück zum Zitat Bapanapalli, S.K., Smith, L.V.: A linear finite element model to predict processing-induced distortion in FRP laminates. Compos. A: Appl. Sci. Manuf. 36(12), 1666–1674 (2005)CrossRef Bapanapalli, S.K., Smith, L.V.: A linear finite element model to predict processing-induced distortion in FRP laminates. Compos. A: Appl. Sci. Manuf. 36(12), 1666–1674 (2005)CrossRef
6.
Zurück zum Zitat Radford, D.W., Rennick, T.S.: Separating sources of manufacturing distortion in laminated composites. J. Reinf. Plast. Compos. 19(8), 621–641 (2000)CrossRef Radford, D.W., Rennick, T.S.: Separating sources of manufacturing distortion in laminated composites. J. Reinf. Plast. Compos. 19(8), 621–641 (2000)CrossRef
7.
Zurück zum Zitat Arafath, A.R.A., Vaziri, R., Poursartip, A.: Closed-form solution for process-induced stresses and deformation of a composite part cured on a solid tool: part I – flat geometries. Compos. A: Appl. Sci. Manuf. 39(7), 1106–1117 (2008)CrossRef Arafath, A.R.A., Vaziri, R., Poursartip, A.: Closed-form solution for process-induced stresses and deformation of a composite part cured on a solid tool: part I – flat geometries. Compos. A: Appl. Sci. Manuf. 39(7), 1106–1117 (2008)CrossRef
8.
Zurück zum Zitat Arafath, A.R.A., Vaziri, R., Poursartip, A.: Closed-form solution for process-induced stresses and deformation of a composite part cured on a solid tool: part II – curved geometries. Compos. A: Appl. Sci. Manuf. 40(10), 1545–1557 (2009)CrossRef Arafath, A.R.A., Vaziri, R., Poursartip, A.: Closed-form solution for process-induced stresses and deformation of a composite part cured on a solid tool: part II – curved geometries. Compos. A: Appl. Sci. Manuf. 40(10), 1545–1557 (2009)CrossRef
9.
Zurück zum Zitat Kappel, E., Stefaniak, D., Holzhüter, D., Hühne, C., Sinapius, M.: Manufacturing distortions of a CFRP box-structure – a semi-numerical prediction approach. Compos. A: Appl. Sci. Manuf. 51, 89–98 (2013)CrossRef Kappel, E., Stefaniak, D., Holzhüter, D., Hühne, C., Sinapius, M.: Manufacturing distortions of a CFRP box-structure – a semi-numerical prediction approach. Compos. A: Appl. Sci. Manuf. 51, 89–98 (2013)CrossRef
10.
Zurück zum Zitat Bogetti, T.A., Gillespie, J.W.: Process-induced stress and deformation in thick-section thermoset composite laminates. J. Compos. Mater. 26(5), 626–660 (1992)CrossRef Bogetti, T.A., Gillespie, J.W.: Process-induced stress and deformation in thick-section thermoset composite laminates. J. Compos. Mater. 26(5), 626–660 (1992)CrossRef
11.
Zurück zum Zitat Kim, Y.K., White, S.R.: Process-induced stress relaxation analysis of AS4/3501-6 laminate. J. Reinf. Plast. Compos. 16(1), 2–16 (1997) Kim, Y.K., White, S.R.: Process-induced stress relaxation analysis of AS4/3501-6 laminate. J. Reinf. Plast. Compos. 16(1), 2–16 (1997)
12.
Zurück zum Zitat Johnston, A. A.: An integrated model of the development of process-induced deformation in autoclave processing of composite structures. Ph.D., The University of British Columbia (Canada) (1998) Johnston, A. A.: An integrated model of the development of process-induced deformation in autoclave processing of composite structures. Ph.D., The University of British Columbia (Canada) (1998)
13.
Zurück zum Zitat Baran, I., Tutum, C.C., Nielsen, M.W., Hattel, J.H.: Process induced residual stresses and distortions in pultrusion. Compos. Part B 51, 148–161 (2013)CrossRef Baran, I., Tutum, C.C., Nielsen, M.W., Hattel, J.H.: Process induced residual stresses and distortions in pultrusion. Compos. Part B 51, 148–161 (2013)CrossRef
14.
Zurück zum Zitat Magnus Svanberg, J., Anders Holmberg, J.: Prediction of shape distortions part I. FE-implementation of a path dependent constitutive model. Compos. A: Appl. Sci. Manuf. 35(6), 711–721 (2004)CrossRef Magnus Svanberg, J., Anders Holmberg, J.: Prediction of shape distortions part I. FE-implementation of a path dependent constitutive model. Compos. A: Appl. Sci. Manuf. 35(6), 711–721 (2004)CrossRef
15.
Zurück zum Zitat Baran, I., Akkerman, R., Hattel, J.H.: Modelling the pultrusion process of an industrial L-shaped composite profile. Compos. Struct. 118, 37–48 (2014)CrossRef Baran, I., Akkerman, R., Hattel, J.H.: Modelling the pultrusion process of an industrial L-shaped composite profile. Compos. Struct. 118, 37–48 (2014)CrossRef
16.
Zurück zum Zitat Baran, I., Hattel, J.H., Akkerman, R.: Investigation of process induced warpage for pultrusion of a rectangular hollow profile. Compos. Part B 68, 365–374 (2015)CrossRef Baran, I., Hattel, J.H., Akkerman, R.: Investigation of process induced warpage for pultrusion of a rectangular hollow profile. Compos. Part B 68, 365–374 (2015)CrossRef
17.
Zurück zum Zitat Ding, A., Li, S., Wang, J., Zu, L.: A three-dimensional thermo-viscoelastic analysis of process-induced residual stress in composite laminates. Compos. Struct. 129, 60–69 (2015)CrossRef Ding, A., Li, S., Wang, J., Zu, L.: A three-dimensional thermo-viscoelastic analysis of process-induced residual stress in composite laminates. Compos. Struct. 129, 60–69 (2015)CrossRef
18.
Zurück zum Zitat Baran, I., Hattel, J., Akkerman, R., Tutum, C.: Mechanical modelling of pultrusion process: 2D and 3D numerical approaches. Appl. Compos. Mater. 22(1), 99–118 (2015)CrossRef Baran, I., Hattel, J., Akkerman, R., Tutum, C.: Mechanical modelling of pultrusion process: 2D and 3D numerical approaches. Appl. Compos. Mater. 22(1), 99–118 (2015)CrossRef
19.
Zurück zum Zitat Ersoy, N., Garstka, T., Potter, K., Wisnom, M.R., Porter, D., Stringer, G.: Modelling of the spring-in phenomenon in curved parts made of a thermosetting composite. Compos. A: Appl. Sci. Manuf. 41(3), 410–418 (2010)CrossRef Ersoy, N., Garstka, T., Potter, K., Wisnom, M.R., Porter, D., Stringer, G.: Modelling of the spring-in phenomenon in curved parts made of a thermosetting composite. Compos. A: Appl. Sci. Manuf. 41(3), 410–418 (2010)CrossRef
20.
Zurück zum Zitat Çınar, K., Öztürk, U.E., Ersoy, N., Wisnom, M.R.: Modelling manufacturing deformations in corner sections made of composite materials. J. Compos. Mater. 48(7), 799–813 (2014)CrossRef Çınar, K., Öztürk, U.E., Ersoy, N., Wisnom, M.R.: Modelling manufacturing deformations in corner sections made of composite materials. J. Compos. Mater. 48(7), 799–813 (2014)CrossRef
21.
Zurück zum Zitat Svanberg, J., Altkvist, C., Nyman, T.: Prediction of shape distortions for a curved composite C-spar. J. Reinf. Plast. Compos. 24(3), 323–339 (2005)CrossRef Svanberg, J., Altkvist, C., Nyman, T.: Prediction of shape distortions for a curved composite C-spar. J. Reinf. Plast. Compos. 24(3), 323–339 (2005)CrossRef
22.
Zurück zum Zitat Hubert, P.: Aspects of flow and compaction of laminated composite shapes during cure. Text, (1996) Hubert, P.: Aspects of flow and compaction of laminated composite shapes during cure. Text, (1996)
23.
Zurück zum Zitat Sorrentino, L., Bellini, C.: Compaction influence on spring-in of thin composite parts: experimental and numerical results. J. Compos. Mater. 49(17), 2149–2158 (2015)CrossRef Sorrentino, L., Bellini, C.: Compaction influence on spring-in of thin composite parts: experimental and numerical results. J. Compos. Mater. 49(17), 2149–2158 (2015)CrossRef
24.
Zurück zum Zitat Chen, J., Hallett, S., Wisnom, M.R.: Modelling complex geometry using solid finite element meshes with correct composite material orientations. Comput. Struct. 88(9–10), 602–609 (2010)CrossRef Chen, J., Hallett, S., Wisnom, M.R.: Modelling complex geometry using solid finite element meshes with correct composite material orientations. Comput. Struct. 88(9–10), 602–609 (2010)CrossRef
25.
Zurück zum Zitat Darrow, D.A., Smith, L.V.: Isolating components of processing induced warpage in laminated composites. J. Compos. Mater. 36(21), 2407–2419 (2002)CrossRef Darrow, D.A., Smith, L.V.: Isolating components of processing induced warpage in laminated composites. J. Compos. Mater. 36(21), 2407–2419 (2002)CrossRef
26.
Zurück zum Zitat Johnston, A., Vaziri, R., Poursartip, A.: A plane strain model for process-induced deformation of laminated composite structures. J. Compos. Mater. 35(16), 1435–1469 (2001) Johnston, A., Vaziri, R., Poursartip, A.: A plane strain model for process-induced deformation of laminated composite structures. J. Compos. Mater. 35(16), 1435–1469 (2001)
27.
Zurück zum Zitat Garstka, T., Ersoy, N., Potter, K.D., Wisnom, M.R.: In situ measurements of through-the-thickness strains during processing of AS4/8552 composite. Compos. A: Appl. Sci. Manuf. 38(12), 2517–2526 (2007)CrossRef Garstka, T., Ersoy, N., Potter, K.D., Wisnom, M.R.: In situ measurements of through-the-thickness strains during processing of AS4/8552 composite. Compos. A: Appl. Sci. Manuf. 38(12), 2517–2526 (2007)CrossRef
28.
Zurück zum Zitat Ersoy, N., Garstka, T., Potter, K., Wisnom, M.R., Porter, D., Clegg, M., Stringer, G.: Development of the properties of a carbon fibre reinforced thermosetting composite through cure. Compos. A: Appl. Sci. Manuf. 41(3), 401–409 (2010)CrossRef Ersoy, N., Garstka, T., Potter, K., Wisnom, M.R., Porter, D., Clegg, M., Stringer, G.: Development of the properties of a carbon fibre reinforced thermosetting composite through cure. Compos. A: Appl. Sci. Manuf. 41(3), 401–409 (2010)CrossRef
29.
Zurück zum Zitat Ersoy, N., Potter, K., Wisnom, M.R., Clegg, M.J.: An experimental method to study the frictional processes during composites manufacturing. Compos. A: Appl. Sci. Manuf. 36(11), 1536–1544 (2005)CrossRef Ersoy, N., Potter, K., Wisnom, M.R., Clegg, M.J.: An experimental method to study the frictional processes during composites manufacturing. Compos. A: Appl. Sci. Manuf. 36(11), 1536–1544 (2005)CrossRef
30.
Zurück zum Zitat Ersoy, N., Potter, K., Wisnom, M.R., Clegg, M.J.: Development of spring-in angle during cure of a thermosetting composite. Compos. A: Appl. Sci. Manuf. 36(12), 1700–1706 (2005)CrossRef Ersoy, N., Potter, K., Wisnom, M.R., Clegg, M.J.: Development of spring-in angle during cure of a thermosetting composite. Compos. A: Appl. Sci. Manuf. 36(12), 1700–1706 (2005)CrossRef
31.
Zurück zum Zitat Luciano, R., Barbero, E.J.: Formulas for the stiffness of composites with periodic microstructure. Int. J. Solids Struct. 31(21), 2933–2944 (1994)CrossRef Luciano, R., Barbero, E.J.: Formulas for the stiffness of composites with periodic microstructure. Int. J. Solids Struct. 31(21), 2933–2944 (1994)CrossRef
32.
Zurück zum Zitat Ramm, E., Rank, E., Rannacher, R., Schweizerhof, K., Stein, E., Wendland, W., Wittum, G., Wriggers, P., Wunderlich, W.: Error-controlled adaptive finite elements in solid mechanics. John Wiley & Sons (2003) Ramm, E., Rank, E., Rannacher, R., Schweizerhof, K., Stein, E., Wendland, W., Wittum, G., Wriggers, P., Wunderlich, W.: Error-controlled adaptive finite elements in solid mechanics. John Wiley & Sons (2003)
33.
Zurück zum Zitat Barbero, E. J.: Finite element analysis of composite materials using AbaqusTM. CRC press (2013) Barbero, E. J.: Finite element analysis of composite materials using AbaqusTM. CRC press (2013)
34.
Zurück zum Zitat Fernlund, G., Rahman, N., Courdji, R., Bresslauer, M., Poursartip, A., Willden, K., Nelson, K.: Experimental and numerical study of the effect of cure cycle, tool surface, geometry, and lay-up on the dimensional fidelity of autoclave-processed composite parts. Compos. A: Appl. Sci. Manuf. 33(3), 341–351 (2002)CrossRef Fernlund, G., Rahman, N., Courdji, R., Bresslauer, M., Poursartip, A., Willden, K., Nelson, K.: Experimental and numerical study of the effect of cure cycle, tool surface, geometry, and lay-up on the dimensional fidelity of autoclave-processed composite parts. Compos. A: Appl. Sci. Manuf. 33(3), 341–351 (2002)CrossRef
35.
Zurück zum Zitat Kappel, E., Stefaniak, D., Hühne, C.: Process distortions in prepreg manufacturing – an experimental study on CFRP L-profiles. Compos. Struct. 106, 615–625 (2013)CrossRef Kappel, E., Stefaniak, D., Hühne, C.: Process distortions in prepreg manufacturing – an experimental study on CFRP L-profiles. Compos. Struct. 106, 615–625 (2013)CrossRef
36.
Zurück zum Zitat Sorrentino, L., Polini, W., Bellini, C.: To design the cure process of thick composite parts: experimental and numerical results. Adv. Compos. Mater. 23(3), 225–238 (2014)CrossRef Sorrentino, L., Polini, W., Bellini, C.: To design the cure process of thick composite parts: experimental and numerical results. Adv. Compos. Mater. 23(3), 225–238 (2014)CrossRef
37.
Zurück zum Zitat Sorrentino, L., Bellini, C.: In-process monitoring of cure degree by coplanar plate sensors. Int. J. Adv. Manuf. Technol. 1–9 (2016) Sorrentino, L., Bellini, C.: In-process monitoring of cure degree by coplanar plate sensors. Int. J. Adv. Manuf. Technol. 1–9 (2016)
38.
Zurück zum Zitat Kappel, E.: Forced-interaction and spring-in – relevant initiators of process-induced distortions in composite manufacturing. Compos. Struct. 140, 217–229 (2016)CrossRef Kappel, E.: Forced-interaction and spring-in – relevant initiators of process-induced distortions in composite manufacturing. Compos. Struct. 140, 217–229 (2016)CrossRef
39.
Zurück zum Zitat Abdelal, G., Robotham, A., Cantwell, W.: Autoclave cure simulation of composite structures applying implicit and explicit FE techniques. Int. J. Mech. Mater. Des. 9(1), 55–63 (2013)CrossRef Abdelal, G., Robotham, A., Cantwell, W.: Autoclave cure simulation of composite structures applying implicit and explicit FE techniques. Int. J. Mech. Mater. Des. 9(1), 55–63 (2013)CrossRef
40.
Zurück zum Zitat Zhu, Q., Geubelle, P.H., Li, M., Tucker, C.L.: Dimensional accuracy of thermoset composites: simulation of process-induced residual stresses. J. Compos. Mater. 35(24), 2171–2205 (2001)CrossRef Zhu, Q., Geubelle, P.H., Li, M., Tucker, C.L.: Dimensional accuracy of thermoset composites: simulation of process-induced residual stresses. J. Compos. Mater. 35(24), 2171–2205 (2001)CrossRef
41.
Zurück zum Zitat Twigg, G., Poursartip, A., Fernlund, G.: Tool–part interaction in composites processing. Part I: experimental investigation and analytical model. Compos. A: Appl. Sci. Manuf. 35(1), 121–133 (2004)CrossRef Twigg, G., Poursartip, A., Fernlund, G.: Tool–part interaction in composites processing. Part I: experimental investigation and analytical model. Compos. A: Appl. Sci. Manuf. 35(1), 121–133 (2004)CrossRef
Metadaten
Titel
Prediction of Process-Induced Distortions in L-Shaped Composite Profiles Using Path-Dependent Constitutive Law
verfasst von
Anxin Ding
Shuxin Li
Jihui Wang
Aiqing Ni
Liangliang Sun
Lei Chang
Publikationsdatum
01.10.2016
Verlag
Springer Netherlands
Erschienen in
Applied Composite Materials / Ausgabe 5/2016
Print ISSN: 0929-189X
Elektronische ISSN: 1573-4897
DOI
https://doi.org/10.1007/s10443-016-9501-8

Weitere Artikel der Ausgabe 5/2016

Applied Composite Materials 5/2016 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.