Edge stresses analysis in laminated thick sandwich cylinder subjected to distributed hygrothermal loading

Abstract

The boundary layer hygrothermal stresses in the thick sandwich cylinder with laminated face are investigated. Uniform and through the thickness steady-state distribution for temperature and moisture content can be considered in the analysis. A displacement based layer-wise formulation is presented for analysis of thick sandwich composite cylinders subjected to hygrothermal loading conditions. Considering a general displacement field and employing a displacement based layer-wise theory, the governing equations of thick laminated sandwich cylinder are obtained. The displacement based formulation is derived for thick sandwich cylinder, which is subjected to non-uniform hygrothermal loading conditions. The faces of the sandwich cylinder are made of laminated composite with general layer stacking. The governing equations of the system include a set of coupled differential equations on the displacement components of the numerical surfaces. A semi-analytical solution is developed and the governing equations are solved for free edge boundary conditions. The accuracy of the numerical results is validated by the results of the finite element simulation and good agreements are seen between the predicted results. The free edge interlaminar stresses distributions are presented for thin and thick sandwich composite cylinders for uniform and non-uniform loading conditions. It is concluded that the presented layer-wise formulation is efficient and accurate method for analysis of thermal and hygroscopic stresses in thick and thin sandwich cylinders with general layer stacking.

Keywords

Hygrothermal stresses layer-wise theory thick sandwich cylinder free edge effect interlaminar stresses

Get full access to this article

View all access options for this article.

References

Zhen

Cheung

et al.

Hygrothermal effects on multilayered composite plates using a refined higher order theory. Compos Struct 2010; 92: 633–646.

Brischetto

. Hygrothermal loading effects in bending analysis of multilayered composite plates. CMES: Comput Model Eng Sci 2012; 88: 367–417.

Pagano

. On the calculation of interlaminar normal stress in composite laminate. J Compos Mater 1974; 8: 65–81.

Wang

ASD

Crossman

. Some new results on edge effect in symmetric composite laminates. J Compos Mater 1977; 11: 92–106.

Wang

ASD

Crossman

. Edge effects on thermally induced stresses in composite laminates. J Compos Mater 1977; 11: 300–312.

Wang

Choi

. Boundary-layer hygroscopic stresses in angle-ply composite laminates. AIAA J 1982; 20: 1592–1598.

Harper

Weitsman

. On the effects of environmental conditioning on residual stresses on composite laminates. Int J Solids Struct 1985; 21: 907–926.

Weitsman

. Coupled damage and moisture-transport in fiber-reinforced, polymeric composites. Int J Solids Struct 1987; 23: 1003–1025.

Wang

Chou

. Three-dimensional transient interlaminar stresses in angle-ply composites. J Appl Mech 1989; 56: 601–608.

10.

Webber

JPH

Morton

. An analytical solution for the thermal stresses at the free edges of laminated plates. Compos Sci Technol 1993; 46: 175–185.

11.

Morton

Webber

JPH

. Interlaminar failure due to mechanical and thermal stresses at the free edges of laminated plates. Compos Sci Technol 1993; 47: 1–13.

12.

Yin

. The effect of temperature gradient on the free-edge interlaminar stresses in multilayered structures. J Compos Mater 1997; 31: 2460–2477.

13.

Pantano

Averill

. A 3D zig-zag sublaminate model for analysis of thermal stresses in laminated composite and sandwich plates. J Sandwich Struct Mater 2000; 2: 288–312.

14.

Tounsi

Adda-Bedia

. Simplified method for prediction of transient hygroscopic stresses in polymer matrix composite with symmetric environmental conditions. Appl Compos Mater 2003; 10: 1–18.

15.

Vaddadi

Nakamura

Singh

. Transient hygrothermal stresses in fiber reinforced composites: a heterogeneous characterization approach. Compos Part A 2003; 34: 719–730.

16.

Matsunaga

. A comparison between 2-D single-layer and 3-D layerwise theories for computing interlaminar stresses of laminated composite and sandwich plates subjected to thermal loadings. Compos Struct 2004; 64: 161–177.

17.

Sereir

Adda bedia

. Use of hybrid composites for the reduction of hygroscopic stresses at the edges of plates exposed to the symmetrical environmental conditions. Mater Des 2007; 28: 448–458.

18.

Bahrami

Nosier

. Interlaminar hygrothermal stresses in laminated plates. Int J Solids Struct 2007; 44: 8119–8142.

19.

Sereir

Adda-bedia

Boualem

. The evolution of transverse stresses in hybrid composites under hygrothermal loading. Mater Des 2011; 32: 3120–3126.

20.

Brischetto

Carrera

. Thermal stress analysis by refined multilayered composite shell theories. J Therm Stress 2009; 32: 165–186.

21.

Zenkour

. Hygrothermal analysis of exponentially graded rectangular plates. J Mech Mater Struct 2012; 7: 687–700.

22.

Zenkour

Mashat

Alghanmi

. Hygrothermal analysis of antisymmetric cross-ply laminates using a refined plate theory. Int J Mech Mater Des 2014; 10: 213–226.

23.

Wuthrich

. Thick-walled composite tubes under mechanical and hygrothermal loading. Composites 1992; 23: 407–413.

24.

Kardomateas

Chung

. Boundary layer transient hygroscopic stresses in orthotropic thick shells under external pressure. J Appl Mech 1994; 61: 161–168.

25.

Khare

Kant

Garg

. Closed-form thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells. Comput Struct 2003; 59: 313–340.

26.

Naidu

NVS

Sinha

. Nonlinear finite element analysis of laminated composite shells in hygrothermal environments. Compos Struct 2005; 69: 387–395.

27.

Sayman

. Analysis of multi-layered composite cylinders under hygrothermal loading. Compos Part A 2005; 36: 923–933.

28.

Nosier

Miri

. Boundary-layer hygrothermal stresses in laminated, composite, circular, cylindrical shell panels. Arch Appl Mech 2010; 80: 413–440.

29.

Yifeng

. A variational asymptotic approach for hygrothermal analysis of composite laminates. Compos Struct 2011; 93: 3229–3238.

30.

Mahadev S and Chan WS. Closed-form analytical method for analyzing laminated composite tubes in hygrothermal environment. In: 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Boston, Massachusetts, 2013.

31.

Brischetto

. Hygrothermoelastic analysis of multilayered composite and sandwich shells. J Sandwich Struct Mater 2013; 15: 168–202.

32.

Huo

Mohamed

Nicholas

et al.

Experimentation and simulation of moisture diffusion in foam-cored polyurethane sandwich structure. J Sandwich Struct Mater 2015; 0: 1–20. DOI: 10.1177/1099636215582218.