A New Computational Method for Prediction of Transient Hygroscopic Stresses during Moisture Desorption in Laminated Composite Plates with Different Degrees of Anisotropy

Abstract

A theoretical study is presented for predicting the hygrothermal behavior of laminated composite plates during moisture desorption. This investigation is aimed at overcoming the computational difficulties in the determination of transient hygroscopic stress distribution through laminated plates and in the evaluation of the effect of anisotropy on the evolution of such stresses. To calculate such stresses during desorption phase, we present a new method by which we are able to predict directly the evolution of transient hygroscopic stresses within laminated composite plates without the calculation of moisture concentrations as in the case of Benkeddad’s method in which we are obliged to determine the moisture distribution across the plate before the calculation of such stresses. This is very important and must be taken into account in the design of composite material, particularly aerospace structures for example, aircraft.

The second part of this investigation is devoted to the analysis of the effect of anisotropy on the hygrothermal behavior of laminated plates during moisture desorption. The polar representation method of anisotropic properties is selected as a convenient tool for this study. By this method, the author is able to assess the anisotropy of composite laminated plates using the degree of anisotropy. Some stacking sequences with different in-plane degree of anisotropy were investigated in order to show the effect of anisotropy on the transverse hygroscopic stresses. Finally, the results of this paper can be used to guide the derivation of future by opening a way for the optimal design of composite structures submitted to a moist environment.

Keywords

laminated composite plates moisture desorption transient hygroscopic stresses polar representation method degree of anisotropy

References

Tounsi, A. and Adda-Bedia, E.A. (2003). Simplified Method for Prediction of Transient Hygroscopic Stresses in Polymer Matrix Composites with Symmetric Environmental Conditions , International Journal of Applied Composite Materials, 10(1), 1–18 .

Benkeddad, A. , Grediac, M. and Vautrin, A. (1996). Computation of Transient Hygroscopic Stresses in Laminated Composite Plates , Journal of Composites Science and Technology, 56: 869–876 .

Benkeddad, A. , Grediac, M. and Vautrin, A. (1995). On the Transient Hygroscopic Stresses in Laminated Composite Plates , International Journal of Composite Structures, 30(2), 201–205 .

Tounsi, A. , Adda-Bedia, E.A. , Verchery, G. (2002). Influence of Anisotropy on the Transient Hygroscopic Stresses in Polymer Matrix Composites with Cyclic Environmental Conditions , International Journal of Composite Structures, 55(4), 393–405 .

Tounsi, A. and Adda Bedia, E.A. Some Observations on the Evolution of Transversal Hygroscopic Stresses in Laminated Composites Plates: Effect of Anisotropy , International Journal of Composite Structures, 59(4), 445–454, 203-203 .

Tounsi, A., Adda-Bedia, E.A., Sereir, Z. and Verchery, G. (2000). Analyse de l’effet d’anisotropie et des conditions d’environnement cycliques sur les variations des contraintes hygroscopiques transitoires a l’interieur des plaques composites stratifiees, Communication au 12^ème journées nationales sur les composites, pp. 969–978, JNC12, 15, 16 et 17 Novembre 2000 (in French), France.

Adda-Bedia, E.A. , Tounsi, A. and Sereir, Z. (2001). A Quantitative Study on the Influence of Anisotropy on the Hygrothermal Behaviour of the Laminated Composite Plates , Eighth International Conference on Composite Engineering ICCE8, p. 71-71 , August 5–11, Tenerife, Spain.

Cheikh Saad Bouh, A.B. and Verchery, G. (1992). Influence of Mechanical Anisotropy on the Bending of Laminates , In: Proceedings of the Second International Symposium on Textile Composites in Building Construction (TCIBC 92) Part 2, pp. 149–162 , June 23–25, Lyon, French.

Cheikh Saad Bouh, A.B. , Aivazzadeh, S. , El Sheikh, M.S. and Verchery, G. (1991). A Quantitative Study of the Influence of Anisotropy on the Bending Deformation of Laminates , 8th International Conference on Composite Materials, pp. 1–12 , Honolulu (USA), Section 26-J.

10.

Vincenti, A. , Verchery, G. and Vannucci, P. (2001). Anisotropy and Symmetry for Elastic Properties of Laminates Reinforced by Balanced Fabrics , Composites Part A, 32(10): 1525–1532 .

11.

Vannucci, P. and Verchery, G. (2001). Stiffness Design of Laminates using the Polar Method , International Journal of Solids and Structures, 38: 9281–9294 .

12.

Verchery, G. (1999). Designing with Anisotropy – Part 1: Methods and General Results for Laminates, Keynote Lecture . 12th International Conference on Composite Materials (ICCM-12), Paris.

13.

Vannucci, P. and Verchery, G. (1999). Designing with Anisotropy – Part 2: Laminates without Membrane-flexure Coupling , 12th International Conference on Composite Materials (ICCM-12), Paris.

14.

Vannucci, P. , Cong, X.J. and Verchery, G. (1999). Designing with Anisotropy – Part 3: Quasi-Homogeneous Anisotropic Laminates , 12th International Conference on Composite Materials (ICCM-12), Paris.

15.

Vincenti, A., Verchery, G. and Vannucci, P. (2000). Decouplage et quasi-homogeneite pour les stratifies renforces par tissus equilibres, pp. 265–274, JNC12, (in French), France.

16.

Hahn, H.T. and Kim, R.Y. (1978). Swelling of Composite Laminates , Advanced Composite Materials – Environmental Effects, ASTM STP 658, pp. 98–120 .

17.

Springer, G. (1981). Environmental Effects on Composite Materials, Technomic Publishing, Westport .

18.

Adda-Bedia, E.A. , Han, W.S. and Verchery, G. (2000). An Asymptotic Characterisation of the Moisture Diffusion in Polymer Matrix Composites with Cyclic Environmental Conditions , International Journal of Composite Structures, 49(3): 269–274 .

19.

Adda-Bedia, E.A. , Han, W.S. and Verchery, G. (1998). Simplifed Methods for Prediction Diffusion in Polymer Matrix Composites with Cyclic Environmental Conditions , International Journal of Polymer & Polymer Composites, 6 (14), 189–203 .

20.

Adda-Bedia, E.A. , Han, W.S. and Verchery, G. (1993). Edge Effects in Resin Matrix Composites with Cyclic Environmental Conditions , In: Miravet, A. (ed.), Proceeding of the 9th International Conference on Composite Materials, (ICCM-9), 5, 617–624 .

21.

Adda-Bedia, E.A. , Han, W.S. and Verchery, G. (1992). Moisture Diffusion in Polymer Matrix Composites with Cyclic Environmental Conditions, Textile Composite in Building Construction (TCIBC 92) , In: Proceedings of the International Symposium, Part 2, pp. 127–138 , Lyon, France, (Pluralis, Paris).

22.

Adda-Bedia, E.A. (1994). Methode de Resolution Pour la Diffusion de l’Humidite sous les Conditions d’Environnement Cycliques, Doctoral Dissertation (in French), Universite Claude Bernard Lyon I, Lyon, France.

23.

Tsai S.W. (1988). Composite Design, 4th edn, Think Composites, Dayton .

24.

Verchery, G. (1979). Les invariants des tenseurs d’ordre quatre du type de l’elasticite , In: Proceedings of the Euromech Colloquium 115, pp. 93–104 , Villards-de-Lans . Editions du CNRS in 1982, Paris (in French).

25.

Grediac, M. , Vautrin, A. and Verchery, G. (1993). A General Method for Data Averaging of Anisotropic Elastic Constant , International Journal of Appl. Mech., 60: 614–618 .

26.

Kandil, N. and Verchery, G. (1990). Design of Stacking Sequences of Laminated Plates for Thermoelastic Effects , In: De Wilde, W.P. and Blain, W.R. (eds), Proceedings of the 2nd International Conference on Computer Aided Design in Composite Materials Technology, pp. 565–576 , Brussels, Computational Mechanics Publications, Southampton.

27.

Verchery, G. and Vong, T.S. (1986). Une methode d’aide graphique a la conception des sequences d’empilement dans les stratifies, comptes rendus de JNC 5, pp. 267–280 (in French).

28.

Jones, R.M. (1975). Mechanics of Composite Materials, Taylor and Francis, USA .

29.

Grediac, M. (1996). On the Direct Determination of Invariant Parameters Governing Anisotropic Plate Bending Problem , International Journal of Solids and Structure, 33(27): 3969–3982 .

30.

Vergnaud, J.M. (1992). Drying of Polymeric and Solid Materials: Modelling and Industrial Applications, Springer-Verlag, London .

31.

Surrel, Y. and Vautrin, A. (1989). On the Modelling of the Plastic Response of FRP Under Monotonic Loading , International Journal of Composite Materials, 23: 232–250 .