Thermal buckling response and fracture analysis for delaminated fiber reinforced composite plates under thermo-mechanical coupling

Abstract

Fiber reinforced composites are often subjected to severe thermal-mechanical coupling loads. In order to predict the stiffness and strength of the designed composites, thermal buckling response of the delaminated fiber reinforced composite plates and fracture analysis along the delamination front under thermo-mechanical coupling are investigated based on the generalized layerwise plate theory. Delamination between individual layers is considered as discontinuities in the displacement field using Heaviside step functions in the finite element model of delaminated composite plates. Governing equations are derived using virtual work principle and fracture analysis is performed by calculation of the strain energy release rate along the delamination front by means of the virtual crack closure technique. The effect of laying angle, delamination size, and delamination position on the critical thermal buckling temperature of laminated composite plates are investigated. Numerical results reveal that the critical thermal buckling temperature is insensitive to the delamination size less than an ‘irrelevant size’ and then significantly decreases with the increase of delamination sizes. The inside delamination has a greater influence on the critical thermal buckling temperature than the outside delamination. The maximum values of strain energy release rate always occur in the ‘equivalent material direction’ when the delamination is located in the middle of composite plates, while it is determined by laying angle and delamination position together for non-middle plane delamination.

Keywords

Delamination fiber reinforced composite plates strain energy release rate thermal buckling thermo-mechanical coupling

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References

Kumar

Lal

Patil

et al.

Hygrothermally induced buckling analysis of elastically supported laminated composite plates with random system properties. J Compos Mater 2012; 46: 2711–2730.

Lal

Singh

Kumar

. Effects of random system properties on the thermal buckling analysis of laminated composite plates. Comput Struct 2009; 87: 1119–1128.

Tian

Han

et al.

Stochastic thermal buckling analysis of laminated plates using perturbation technique. Compos Struct 2016; 139: 1–12.

Narita

Wang

. The effects of non-uniform temperature distribution and locally distributed anisotropic properties on thermal buckling of laminated panels. Compos Struct 2015; 119: 610–619.

Akbarzadeh

Nik

Pasini

. The role of shear deformation in laminated plates with curvilinear fiber paths and embedded manufacturing defects. Compos Struct 2014; 118: 217–227.

Chai

Babcock

Knauss

. One dimensional modeling of failure in laminated plates by delamination buckling. Int J Solids Struct 1981; 17: 1069–1083.

Bolotin

. Mechanics of delaminations in laminate composite structures. Mech Compos Mater 2001; 37: 367–380.

Andrews

Massabò

Cox

. Elastic interaction of multiple delaminations in plates subject to cylindrical bending. Int J Solids Struct 2006; 43: 855–886.

Reddy JN, Barbero EJ and Teply JL. A plate bending element based on a generalized laminated plate theory. Int J Numer Meth Eng 1989; 28: 2275–2292.

10.

Barbero

Reddy

. Modeling of delamination in composite laminates using a layer-wise plate theory. Int J Solids Struct 1991; 28: 373–388.

11.

Basar

Omurtag

. Free-vibration analysis of thin/thick laminated structures by layer-wise shell models. Comput Struct 2000; 74: 409–427.

12.

Marjanović

Vuksanović

. Layerwise solution of free vibrations and buckling of laminated composite and sandwich plates with embedded delaminations. Compos Struct 2014; 108: 9–20.

13.

Marjanović

Vuksanović

Meschke

. Geometrically nonlinear transient analysis of delaminated composite and sandwich plates using a layerwise displacement model with contact conditions. Compos Struct 2015; 122: 67–81.

14.

Liu

Zhang

. An extended Layerwise method for composite laminated beams with multiple delaminations and matrix cracks. Int J Numer Meth Eng 2015; 101: 407–434.

15.

Ovesy

Kharazi

. Compressional stability behavior of composite plates with through-the-width and embedded delaminations by using first order shear deformation theory. Comput Struct 2011; 89: 1829–1839.

16.

Ovesy

Taghizadeh

Kharazi

. Post-buckling analysis of composite plates containing embedded delaminations with arbitrary shape by using higher order shear deformation theory. Compos Struct 2012; 94: 1243–1249.

17.

Kharazi

Ovesy

Taghizadeh

. Buckling of the composite laminates containing through-the-width delaminations using different plate theories. Compos Struct 2010; 92: 1176–1183.

18.

Nikrad

Asadi

Akbarzadeh

et al.

On thermal instability of delaminated composite plates. Compos Struct 2015; 132: 1149–1159.

19.

Yin

. Thermomechanical buckling of delaminated composite laminates. Int J Solids Struct 1998; 35: 2639–2653.

20.

Wang

Dong

. Local buckling for triangular and lemniscate delaminations near the surface of laminated cylindrical shells under hygrothermal effects. Compos Struct 2007; 79: 67–75.

21.

Wang

Xiao

. Non-linear thermal buckling for local delamination near the surface of laminated cylindrical shell. Int J Mech Sci 2002; 44: 947–965.

22.

Aviles

Carlsson

. Three-dimensional finite element buckling analysis of debonded sandwich panels. J Compos Mater 2006; 40: 993–1008.

23.

Akbarov

Yahnioglu

Karatas

. Buckling delamination of a rectangular plate containing a rectangular crack and made from elastic and viscoelastic composite materials. Int J Solids Struct 2010; 47: 3426–3434.

24.

Akbarov

Yahnioglu

Tekin

. Buckling delamination of a rectangular viscoelastic sandwich plate containing interface inner cracks. J Eng Mech 2014; 140: 134–138.

25.

Akbarov

. Stability loss and buckling delamination: three-dimensional linearized approach for elastic and viscoelastic composites, Heidelberg, Germany: Springer, 2013.

26.

Xie

Biggers

. Strain energy release rate calculation for a moving delamination front of arbitrary shape based on the virtual crack closure technique. Part I: formulation and validation. Eng Fract Mech 2006; 73: 771–785.

27.

Xie

Biggers

. Strain Energy Release Rate calculation for a moving delamination front of arbitrary shape based on the virtual crack closure technique. Part II: sensitivity study on modeling details. Eng Fract Mech 2006; 73: 786–801.

28.

. Delamination and transverse crack growth prediction for laminated composite plates and shells. Compos Struct 2016; 177: 39–55.

29.

Pietropaoli

Riccio

. On the robustness of finite element procedures based on virtual crack closure technique and fail release approach for delamination growth phenomena. Definition and assessment of a novel methodology. Compos Sci Technol 2010; 70: 1288–1300.

30.

Pietropaoli

Riccio

. Formulation and assessment of an enhanced finite element procedure for the analysis of delamination growth phenomena in composite structures. Compos Sci Technol 2011; 71: 836–846.

31.

Marjanović

Meschke

VuksanoviĆ

. A finite element model for propagating delamination in laminated. Compos Struct 2016; 150: 8–19.

32.

Reddy

. Mechanics of laminated composite plates and shells: theory and analysis, 2nd ed. Boca Raton, Florida: CRC Press, 2003.

33.

Barbcro EJ. On a generalized laminate theory with application to bending, vibration, and delamination buckling in composite laminates. PhD Dissertation, Virginia Polytechnic Institute and State University, Blacksburg, 1989.

34.

Rybicki

Kanninen

. A finite element calculation of stress intensity factors by a modified crack closure integral. Eng Fract Mech 1977; 9: 931–938.

35.

Whitcomb

. Three-dimensional analysis of a postbuckled embedded delamination. J Compos Mater 1989; 23: 862–889.

36.

Shen

Lee

Tay

. Modeling delamination growth in laminated composites. Compos Sci Technol 2001; 61: 1239–1251.