Temperature-curvature relationships in asymmetric angle ply laminates by considering the effects of resin layers and temperature dependency of material properties

Abstract

It is well-known that asymmetric composite laminates can have bi-stable response to different kind of loadings. In this research, the non-linear temperature-curvature relationship for the asymmetric composite laminates is studied using Rayleigh–Ritz technique. Attention is focused on studying the effect of material temperature dependency and resin layers; especially in the bifurcation point by use of analytical method. To this end, the well-known analytical theories are extended and used to consider the temperature dependency of material. The results obtained from the theory are then compared with the finite element simulations results and a good correlation is obtained. Finally, an experimental investigation is carried out and several specimens with [90/0]_T, [60/–30]_T and [30/–30]_T compositions were manufactured. In order to study the effect of resin layers, optical microscopy is utilized and the exact thickness of different layers in the manufactured specimens is determined. The thermal responses of the manufactured plates were measured and used to validate the results obtained from the analytical theory and finite element simulations.

Keywords

Bi-stable structure asymmetric laminates Rayleigh–Ritz method thermal response composite plate

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References

Hyer

. Some observations on the cured shape of thin unsymmetric laminates. J Compos Mater 1981; 15: 175–194.

Hyer

. Calculations of the room-temperature shapes of unsymmetric laminates. J Compos Mater 1981; 15: 296–310.

Hyer

. The room-temperature shapes of four-layer unsymmetric cross-ply laminates. J Compos Mater 1982; 16: 318–340.

Hamamoto

Hyer

. Nonlinear temperature–curvature relationships for unsymmetric graphite-epoxy laminates. Int J Solid Struct 1987; 23: 919–935.

Jun

Hong

. Cured shape of unsymmetric laminates with arbitrary lay-up angles. J Reinf Plast Compos 1992; 11(12): 1352–1366.

Dano

Hyer

. Thermally-induced deformation behavior of unsymmetric laminates. Int J Solid Struct 1997; 35(17): 2101–2120.

Schlecht

Schulte

. Advanced calculations of the room-temperature shapes of unsymmetric laminates. J Compos Mater 1999; 33(16): 1472–1490.

Tawfik

Xinyuan

Ozbay

. Anticlastic stability modeling for cross-ply composites. J Compos Mater 2007; 41: 1325–1338.

Giddings

Bowen

Salo

AIT

. Bistable composite laminates: effects of laminate composition on cured-shape and response to thermal load. Compos Struct 2010; 92: 2220–2225.

10.

Betts

Salo

AIT

Bowen

. Characterisation and modelling of the cured shapes of arbitrary layup bistable composite laminates. Compos Struct 2010; 92: 1694–1700.

11.

Moore M, Ziaei-Rad S and Salehi H. Thermal response and stability characteristics of bistable composite laminates by considering temperature dependent material properties and resin layers. Appl Compos Mater 2013; 20: 87–106.

12.

Hufenbach

Gude

Czulak

. Actor-initiated snap-through of unsymmetric composites with multiple deformation states. J Mater Process Technol 2006; 175: 225–230.

13.

Schultz

Hyer

Williams

. Snap-through of unsymmetric laminates using piezocomposite actuators. Compos Sci Technol 2006; 66: 2442–2448.

14.

Hyer

Herakovich

Milkovich

. Temperature dependence of mechanical and thermal expansion properties of T300/5208 graphite/epoxy. Composites 1983; 14: 276–280.

15.

Yuhas DE and Isaacson B. Elevated temperature measurements of elastic constants in polymer composites. In: The 43rd international SAMPE symposium, Anaheim, California, 31 May–4 June 1998, 1–17.

16.

Reddy JN. Mechanics of laminated composite plates and shells: theory and analysis. 2nd ed. Boca Raton, London, New York, Washington D.C: CRC Press LLC, 2004.

17.

Hyer

. Stress analysis of fiber reinforced composite materials, Boston, Mass: WCB/McGraw-Hill, 1998.

18.

Kaw AK. Mechanics of composite materials. 2nd ed. Boca Raton, London, New York: CRC Press, Taylor & Francis Group, LLC, 2006.

19.

Nouri

Ziaei-Rad

Adibi

. Fabrication and mechanical property prediction of carbon nanotube reinforced aluminum nanocomposites. Mater Design 2012; 34: 1–14.

20.

White

Hahn

. Process modeling of composite materials: residual stress development during cure. Part 1. Model Formulation. J Compos Mater 1992; 26(16): 2402–2422.

21.

White

Hahn

. Process modeling of composite materials: residual stress development during cure. Part 2. Experimental validation. J Compos Mater 1992; 26(16): 2423–2453.