A refined high-order global-local theory for finite element bending and vibration analyses of laminated composite beams

Lezgy-Nazargah, M.; Shariyat, M.; Beheshti-Aval, Seyed Bahram

doi:10.1007/s00707-010-0391-9

Cited by 60 publications

(16 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2. [43] Local variations of the transverse displacement component are represented by the two summations in Eq. (7b), employing a discretelayer concept.…”

Section: Approximation Of the Displacement And The Strain Fieldsmentioning

confidence: 99%

A finite element model based on coupled refined high-order global-local theory for static analysis of electromechanical embedded shear-mode piezoelectric sandwich composite beams with various widths

Beheshti-Aval

Shahvaghar-Asl

Lezgy-Nazargah

et al. 2013

Thin-Walled Structures

Self Cite

View full text Add to dashboard Cite

a b s t r a c tIn this study, a new theory for the accurate simulation of the shear-mode behaviour of thin or thick piezoelectric sandwich composite beams is developed. The effects of transverse normal stress and transverse flexibility of layers are considered in the development of the proposed formulation. In order to increase the computational accuracy, all kinematic and stress continuity conditions are satisfied at layer interfaces. Moreover, for the first time, both the electrically induced strain components and the transverse flexibility are taken into account in the proposed formulation. Despite the fact that the number of unknown mechanical parameters in this theory is only one degree higher than the first order shear deformation theory, the accuracy is surprisingly more pronounced for the thicker beams. (S.B. Beheshti-Aval).[10], Kogl and Bucalem [11,12] Chee et al. [13], Jiang and Li[14], Shu [15], Thornburgh and Chattopadhyay [16], Fukunaga et al. [17] and Mitchell and Reddy [18]used equivalent single layer theories (ESLT) for the analysis of extension-mode piezoelectric beams/plates structures. The idea of layer-wise theory (LWT) or discrete-layer theory was presented and developed by Heyliger and Saravanos [19], Saravanos and Heyliger [20], Saravanos et al.[21], Kusculuoglu et al. [22], Garcia Lage et al. [23,24] Robaldo et al. [25], and Tzou and Ye [26]. Beheshti-Aval and Lezgy-Nazargah[27,28] used a sinus zigzag (ZZ) model for analyzing and controlling of smart laminated piezoelectric beams. Kapuria [29], Kapuria et al. [30], and Kapuria and Alam [31] presented an efficient coupled ZZ theory for static and dynamic analysis of extension-mode piezoelectric laminated/sandwich beams based on third order ZZ approximations. introduced a computationally low cost FE model for the static analysis of extension-mode piezoelectric multilayered/sandwich beams based on global-local theory. For an overview on the modeling of extension-mode piezoelectric laminates, readers can refer to Benjeddou [33].The use of a shear-mode piezoelectric actuator was first proposed by Sun and Zhang [34]. In their work, they employed thickness-shear piezoelectric patches to create transverse deflection in sandwich beams. Moreover, they demonstrated that shear-mode actuators can offer many advantages over the extension-mode actuators. The analysis of this study was carried out using the ANSYS finite-element package. Furthermore, Zhang and Sun [35] developed an analytical model to predict the static, as well as the dynamic behavior of a sandwich beam which comprises of a core layer of shear-mode piezoelectric. The model relies on the assumptions that the face layers obey the Euler-Bernoulli theory, while the core piezoelectric layer follows the Timoshenko theory. Moreover, closed-form solutions of a static cantilever beam with shear-mode actuators were presented. Benjeddou et al. [36] proposed a finite element model of a sandwich beam with extension and shear piezoelectric segments. To verify their model, they compared their finite e...

show abstract

“…2. [43] Local variations of the transverse displacement component are represented by the two summations in Eq. (7b), employing a discretelayer concept.…”

Section: Approximation Of the Displacement And The Strain Fieldsmentioning

confidence: 99%

A finite element model based on coupled refined high-order global-local theory for static analysis of electromechanical embedded shear-mode piezoelectric sandwich composite beams with various widths

Beheshti-Aval

Shahvaghar-Asl

Lezgy-Nazargah

et al. 2013

Thin-Walled Structures

Self Cite

View full text Add to dashboard Cite

show abstract

“…These theories are able to reproduce piecewise continuous displacement and transverse stress fields in the thickness direction of the laminated structures [13][14][15][16][17][18][19][20][21][22][23][24][25]. The 2D global-local higher-order plate theories [26][27][28][29][30][31][32][33] are also capable of giving accurate results. For a comprehensive overview on theories and computational models for laminated composite structures, readers can refer to Carrera and Brischetto [34], Zhang and Yang [35], and Hu et al [36].…”

Section: Introductionmentioning

confidence: 99%

“…The finite element method [27][28][29][30][31][32][33], the finite difference method [43][44], the meshfree methods [45], the differential quadrature methods [46], the Ritz methods [47][48][49][50], the strip element method [51][52], etc. are also some of typical numerical methods which were successfully applied for the analysis of laminated composite structures.…”

Section: Introductionmentioning

confidence: 99%

NURBS-based isogeometric analysis of laminated composite beams using refined sinus model

Lezgy-Nazargah

Vidal²,

Polit³

2015

European Journal of Mechanics - A/Solids

Self Cite

View full text Add to dashboard Cite

show abstract

“…Many controversies surround the effect of admission or restriction of the horizontal displacement of the structure. Complex boundary conditions can be taken into account by using higher--order global-local theories [4][5][6], but their application usually requires sophisticated computational tools.…”

Section: Introductionmentioning

confidence: 99%

The influence of thermal actions and complex support conditions on the mechanical state of sandwich structure

Błaszczuk

Pozorski

2013

J. Appl. Math. Comput. Mech.

View full text Add to dashboard Cite

The paper concerns the problem of the influence of thermal actions on the structural behavior of sandwich panels with unspecified elastic supports. An ordinary sandwich panel theory is used. The boundary conditions have the arbitrary form of elastic supports. The solution of a statically undetermined system with limitations of horizontal displacement and rotation is derived. The illustrative examples are presented and the problem solution is discussed.

show abstract

A refined high-order global-local theory for finite element bending and vibration analyses of laminated composite beams

Cited by 60 publications

References 44 publications

A finite element model based on coupled refined high-order global-local theory for static analysis of electromechanical embedded shear-mode piezoelectric sandwich composite beams with various widths

A finite element model based on coupled refined high-order global-local theory for static analysis of electromechanical embedded shear-mode piezoelectric sandwich composite beams with various widths

NURBS-based isogeometric analysis of laminated composite beams using refined sinus model

The influence of thermal actions and complex support conditions on the mechanical state of sandwich structure

Contact Info

Product

Resources

About