Mathematical solution for bending of short hybrid composite beams with variable fibers spacing

Benatta, Mohamed Atif; Tounsi, Abdelouahed; Mechab, Ismail; Bouiadjra, Mohamed Bachir

doi:10.1016/j.amc.2009.02.030

Cited by 41 publications

(13 citation statements)

References 18 publications

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“…In comparison with laminated composites, employing FG materials in structural systems leads to elimination of stress concentration and also improves the strength and toughness of the structure. Most of the literature on FG beams deals with beams whose mechanical properties vary through thickness [2,25,28,30,31]. There are relatively few works on axially FG beams whose mechanical properties vary along the axis of the beam where most of them concern the special case of uniform beams.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams

Shahba

Attarnejad

Hajilar

2011

Shock and Vibration

103

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Structural analysis of axially functionally graded tapered Euler-Bernoulli beams is studied using finite element method. A beam element is proposed which takes advantage of the shape functions of homogeneous uniform beam elements. The effects of varying cross-sectional dimensions and mechanical properties of the functionally graded material are included in the evaluation of structural matrices. This method could be used for beam elements with any distributions of mass density and modulus of elasticity with arbitrarily varying cross-sectional area. Assuming polynomial distributions of modulus of elasticity and mass density, the competency of the element is examined in stability analysis, free longitudinal vibration and free transverse vibration of double tapered beams with different boundary conditions and the convergence rate of the element is then investigated.

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Section: Introductionmentioning

confidence: 99%

Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams

Shahba

Attarnejad

Hajilar

2011

Shock and Vibration

103

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“…Kuo and Shiau [15] studied the buckling and vibration of composite laminated plates with variable fiber spacing by use of the finite element method. Benatta et al [16] presented a mathematical solution for bending of short hybrid composite beams with variable fibers spacing. Bouremana et al [17] proposed a new concept to minimize the thermal deformation or match the thermal deformation of another structural component by using a composite whose fibers have a negative axial thermal expansion coefficient.…”

Section: Introductionmentioning

confidence: 99%

A New Approach for Adhesive Stress Analysis of a Beam Bonded with Composite Plate Having Variable Fiber Spacing

Krour

Tounsi²,

Meftah

2011

Composite Interfaces

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External bonding of FRP plates or sheets has emerged as a popular method for strengthening reinforced concrete structures. Debonding along the FRP-concrete interface can lead to premature failure of the structures. Shear and normal stresses (in the thickness direction) at interfaces (referred to as interfacial shear and transverse normal stresses hereafter) have played a significant role in understanding this premature debonding failure of such hybrid structures. Extensive experimental and analytical analyses have been undertaken to investigate this problem. Large discrepancies have been found from various studies. This paper reports a closed-form formulation for interfacial stresses in plated beams. The analysis is based on the deformation compatibility approach developed by Tounsi and Benyoucef [8] where both the shear and normal stresses are assumed to be invariant across the adhesive layer thickness. The composite plate with variable fiber spacing bonded to reinforced concrete beam is considered in the present study. In addition, an unrealistic restriction of the same curvatures in the RC beam and FRP panel commonly used in most of the existing studies is released in the present theoretical formulation. Compared with previously published analytical results, this one improves the accuracy of predicting the transverse normal stresses and the solution remains a closed form.

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“…By employing FG material, in comparison with laminated composites, the structural systems lead to the elimination of stress concentration and improve the strength and toughness of the material. Several literature studies dealt with FG beams whose mechanical properties vary in thickness directions [1][2][3][4]. There are relatively less work on axially FG beams have been commenced whose properties vary along the axis of beam.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Based Vibration Analysis of an Axially Functionally Graded Nonprismatic Beam

Biswal¹,

Biswal²,

Senapati³

2018

IJME

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The present paper deals with vibration analysis of an axially functionally graded nonprismatic beam using finite element method. A two noded beam element with two degrees of freedom at each node has been considered for the analysis. The varying cross sectional dimensions with mechanical properties of functionally graded materials have been included in the evaluation of matrices of structural parts. A polynomial distribution of mass density and modulus of elasticity is assumed in the present study. The convergence study has been carried out with the existing available results.

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Mathematical solution for bending of short hybrid composite beams with variable fibers spacing

Cited by 41 publications

References 18 publications

Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams

Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams

A New Approach for Adhesive Stress Analysis of a Beam Bonded with Composite Plate Having Variable Fiber Spacing

Finite Element Based Vibration Analysis of an Axially Functionally Graded Nonprismatic Beam

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