Nonlinear buckling behaviours of thin-walled functionally graded open section beams

Lanc, Domagoj; Turkalj, Goran; Vo, Thuc P.; Brnić, Josip

doi:10.1016/j.compstruct.2016.06.023

Cited by 49 publications

(20 citation statements)

References 31 publications

(32 reference statements)

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“…where c = cos θ (k) and s = sin θ (k) . The elastic constants in (23)- (35) can be computed as a function of the engineering constants of the materials of the k-th layer as shown below (36) where the quantity ∆ (k) has the following meaning…”

Section: Higher-order Esl Modelmentioning

confidence: 99%

“…Advanced composite materials are mainly developed to design stiffer and lighter structures, characterized by an improved and more efficient mechanical behavior. Among them, fiber-reinforced media [1][2][3][4], laminated and sandwich composites [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24], Functionally Graded Materials (FGMs) [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41], nanocomposites [42][43][44][45][46] and metamaterials [47][48][49][50]…”

Section: Introductionmentioning

confidence: 99%

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Effect of Curvilinear Reinforcing Fibers on the Linear Static Behavior of Soft-Core Sandwich Structures

Tornabene

Bacciocchi

2018

J. Compos. Sci.

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The present research deals with the linear static behavior of soft-core sandwich plates and shells. The external skins are reinforced by curvilinear fibers. Their curved paths are described by a general mathematical law that allows the definition of arbitrary placements. The mechanical behavior of these structures is modeled through several Higher-order Shear Deformation Theories (HSDTs) including the zig-zag effect, based on an Equivalent Single Layer (ESL) approach. The solution of the governing equations is achieved numerically by means of the Generalized Differential Quadrature (GDQ) method. A huge number of parametric investigations is proposed in graphical and tabular forms to highlight the influence of the fiber orientation on the static response. The results prove that the structural behavior is affected by such parameters. Thus, the desired structural behavior can be modified by means of a proper choice of the fiber orientation. was investigated by Gürdal and Olmedo [60] to evaluate the stiffness variation effect on the elastic response of the structure. In their work, the orientation of the fibers was defined by two parameters, which consisted of the fiber angle at the center of the laminate and the fiber angle at a specified distance from the center. The manufacturing process of the proposed approach was progressively studied by Waldarth et al. [61], Setoodeh and Gürdal [62], and Setoodeh et al. [63,64]. Jegley et al. [65] proved that the load carrying capability of panels reinforced by curvilinear fibers was superior to the one that characterized panels with straight fibers. Analogously, the stress concentrations around the hole were reduced due to the curvilinear paths of the fibers. Abdalla et al. [66] developed a maximization procedure for the natural frequency of composite panels reinforced by curved fibers. The post-buckling progressive damage behavior and the structural failure of variable-stiffness composite panels were studied by Lopes et al. [67] taking into account the residual thermal stresses caused by the curing process. Gürdal et al. [68] investigated the in-plane and buckling responses of flat rectangular composite laminates with variable stiffness. Their research proved that it was possible to vary either the buckling load or the in-plane stiffness of the structure. The variable-stiffness concept and the two-parameter law for the fiber orientation were extended also to conical and cylindrical shells by Blom et al. [69-71]. Akhavan and Ribeiro [72] investigated the natural frequencies and vibrational modes of variable-stiffness laminated composite plates reinforced by curvilinear fibers by means of a p-version finite element approach. The same topic was analyzed also by Honda and Narita [73], who proposed an analytical method for this purpose. Díaz et al. [74] presented a numerical method for obtaining the interlaminar stresses in variable stiffness composite panels. Coburn et al. [75] highlighted the improved buckling performances of variable-stiffness laminates compared to the ones re...

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Section: Higher-order Esl Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of Curvilinear Reinforcing Fibers on the Linear Static Behavior of Soft-Core Sandwich Structures

Tornabene

Bacciocchi

2018

J. Compos. Sci.

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“…The use of a versatile numerical method also allows us to investigate the structural response of composite structures with non-uniform mechanical properties. In particular, in the present paper the reinforcing fibers are characterized by a gradual variation of their volume fraction along the plate thickness, following the same idea of functionally graded materials [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52]. With respect to this class of materials, in which the composites turn out to be isotropic, the layers of the plate assume orthotropic features and can also be oriented.…”

Section: Introductionmentioning

confidence: 99%

Natural Frequency Analysis of Functionally Graded Orthotropic Cross-Ply Plates Based on the Finite Element Method

Bacciocchi

Tarantino

2019

MCA

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This paper aims to present a finite element (FE) formulation for the study of the natural frequencies of functionally graded orthotropic laminated plates characterized by cross-ply layups. A nine-node Lagrange element is considered for this purpose. The main novelty of the research is the modelling of the reinforcing fibers of the orthotropic layers assuming a non-uniform distribution in the thickness direction. The Halpin–Tsai approach is employed to define the overall mechanical properties of the composite layers starting from the features of the two constituents (fiber and epoxy resin). Several functions are introduced to describe the dependency on the thickness coordinate of their volume fraction. The analyses are carried out in the theoretical framework provided by the first-order shear deformation theory (FSDT) for laminated thick plates. Nevertheless, the same approach is used to deal with the vibration analysis of thin plates, neglecting the shear stiffness of the structure. This objective is achieved by properly choosing the value of the shear correction factor, without any modification in the formulation. The results prove that the dynamic response of thin and thick plates, in terms of natural frequencies and mode shapes, is affected by the non-uniform placement of the fibers along the thickness direction.

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“…A power-law function is used to characterize the through-the-thickness variation of their volume fraction. FG materials are typically used as constituents in plates and shells [81,82,83,84,85,86], beams [87,88], micro- and nano-structures [89,90,91].…”

Section: Introductionmentioning

confidence: 99%

Free Vibrations of Sandwich Plates with Damaged Soft-Core and Non-Uniform Mechanical Properties: Modeling and Finite Element Analysis

2019

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The paper aims to investigate the natural frequencies of sandwich plates by means of a Finite Element (FE) formulation based on the Reissner-Mindlin Zig-zag (RMZ) theory. The structures are made of a damaged isotropic soft-core and two external stiffer orthotropic face-sheets. These skins are strengthened at the nanoscale level by randomly oriented Carbon nanotubes (CNTs) and are reinforced at the microscale stage by oriented straight fibers. These reinforcing phases are included in a polymer matrix and a three-phase approach based on the Eshelby-Mori-Tanaka scheme and on the Halpin-Tsai approach, which is developed to compute the overall mechanical properties of the composite material. A non-uniform distribution of the reinforcing fibers is assumed along the thickness of the skin and is modeled analytically by means of peculiar expressions given as a function of the thickness coordinate. Several parametric analyses are carried out to investigate the mechanical behavior of these multi-layered structures depending on the damage features, through-the-thickness distribution of the straight fibers, stacking sequence, and mass fraction of the constituents. Some final remarks are presented to provide useful observations and design criteria.

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Nonlinear buckling behaviours of thin-walled functionally graded open section beams

Cited by 49 publications

References 31 publications

Effect of Curvilinear Reinforcing Fibers on the Linear Static Behavior of Soft-Core Sandwich Structures

Effect of Curvilinear Reinforcing Fibers on the Linear Static Behavior of Soft-Core Sandwich Structures

Natural Frequency Analysis of Functionally Graded Orthotropic Cross-Ply Plates Based on the Finite Element Method

Free Vibrations of Sandwich Plates with Damaged Soft-Core and Non-Uniform Mechanical Properties: Modeling and Finite Element Analysis

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