Stress Distribution and Deformation of Adhesive‐Bonded Laminated Composite Beams

Cheng, Shan; Wei, Xiaone; Jiang, Tongmin

doi:10.1061/(asce)0733-9399(1989)115:6(1150)

Cited by 28 publications

(12 citation statements)

References 1 publication

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“…The coefficients C k N and D k N , in Equation (3), while defining the warping function for the rectangular cross-section, are determined such that the contribution to the displacement component u k due to torsion is continuous at the interface of adjacent layers, and the transverse shear stress associated with torsion, is continuous at the interface of the adjacent layers and vanishes at the top and bottom surfaces of the beam [27].…”

Section: The General Expression Formentioning

confidence: 99%

A C¹ finite element for flexural and torsional analysis of rectangular piezoelectric laminated/sandwich composite beams

Ganapathi

Patel

Touratier

2004

Numerical Meth Engineering

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SUMMARYThis work deals with the development of a new C 1 finite element for analysing the bending and torsional behaviour of rectangular piezoelectric laminated/sandwich composite beams. The formulation includes transverse shear, warping due to torsion, and elastic-electric coupling effects. It also accounts for the inter-layer continuity condition at the interfaces between layers, and the boundary conditions at the upper and lower surfaces of the beam. The shear strain is represented by a cosine function of a higher order in nature and thus avoiding shear correction factors. The warping function obtained from a three-dimensional elasticity solution is incorporated in the present model. An exact integration is employed in evaluating various energy terms due to the application of field consistency approach while interpolating the transverse shear and torsional strains. The variation of the electric potential through the thickness is taken care of in the formulation based on the observation of three-dimensional solution. The performance of the laminated piezoelectric element is tested comparing with analytical results as well as with the reference solutions evaluated using three-dimensional finite element procedure. A detailed study is conducted to highlight the influence of length-to-thickness ratio on the displacements, stresses and electric potential field of piezoelectric laminated beam structures subjected to flexural and torsional loadings.

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Section: The General Expression Formentioning

confidence: 99%

A C¹ finite element for flexural and torsional analysis of rectangular piezoelectric laminated/sandwich composite beams

Ganapathi

Patel

Touratier

2004

Numerical Meth Engineering

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“…The general expression for I is in the form of a harmonic function, as outlined in references [9}11, 13], and is expressed as…”

Section: Formulationmentioning

confidence: 99%

Non-Linear Torsional Vibration and Damping Analysis of Sandwich Beams

Patel¹,

Ganapathi²

2001

Journal of Sound and Vibration

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“…A three-layer cantilever composite beam under torque load T at the free end. 7 The material and geometrical properties considered for this study are given as L Before proceeding to the detailed analysis, numerical computations are carried out for the rank of the element (spurious mode), convergence properties and the e ect of aspect ratio (shear locking).…”

Section: Torsional Analysismentioning

confidence: 99%

“…Numerical analyses have been performed upon various sandwich beams, and a parametric study is given to show the e ects of diver parameters such as length-to-thickness ratio, shear modular ratio, boundary conditions, free and constrained torsion. Earlier, the accuracy of computations has been evaluated by comparisons with an exact three-dimensional theory for laminates in bending, 13 elasticity solution for bending-torsion of isotropic beams of rectangular cross-sections 14; 15 extended to laminated beams of rectangular cross-sections having isotropic layers, 7 and also three-dimensional ÿnite element computations using 27-noded-brick elements.…”

Section: Introductionmentioning

confidence: 99%

AC1 finite element including transverse shear and torsion warping for rectangular sandwich beams

Ganapathi

Patel

Polit

et al. 1999

Int. J. Numer. Meth. Engng.

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SUMMARYA new three-noded C 1 beam ÿnite element is derived for the analysis of sandwich beams. The formulation includes transverse shear and warping due to torsion. It also accounts for the interlaminar continuity conditions at the interfaces between the layers, and the boundary conditions at the upper and lower surfaces of the beam. The transverse shear deformation is represented by a cosine function of a higher order. This allows us to avoid using shear correction factors. A warping function obtained from a three-dimensional elasticity solution is used in the present model. Since the ÿeld consistency approach is accounted for interpolating the transverse strain and torsional strain, an exact integration scheme is employed in evaluating the strain energy terms.Performance of the element is tested by comparing the present results with exact three-dimensional solutions available for laminates under bending, and the elasticity three-dimensional solution deduced from the de Saint-Venant solution including both torsion with warping and bending. In addition, three-dimensional solid ÿnite elements using 27 noded-brick elements have been used to bring out a reference solution not available for sandwich structures having high shear modular ratio between skins and core. A detailed parametric study is carried out to show the e ects of various parameters such as length-to-thickness ratio, shear modular ratio, boundary conditions, free (de Saint-Venant) and constrained torsion.

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Stress Distribution and Deformation of Adhesive‐Bonded Laminated Composite Beams

Cited by 28 publications

References 1 publication

A C¹ finite element for flexural and torsional analysis of rectangular piezoelectric laminated/sandwich composite beams

A C¹ finite element for flexural and torsional analysis of rectangular piezoelectric laminated/sandwich composite beams

Non-Linear Torsional Vibration and Damping Analysis of Sandwich Beams

AC1 finite element including transverse shear and torsion warping for rectangular sandwich beams

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Stress Distribution and Deformation of Adhesive‐Bonded Laminated Composite Beams

Cited by 28 publications

References 1 publication

A C1 finite element for flexural and torsional analysis of rectangular piezoelectric laminated/sandwich composite beams

A C1 finite element for flexural and torsional analysis of rectangular piezoelectric laminated/sandwich composite beams

Non-Linear Torsional Vibration and Damping Analysis of Sandwich Beams

AC1 finite element including transverse shear and torsion warping for rectangular sandwich beams

Contact Info

Product

Resources

About

A C¹ finite element for flexural and torsional analysis of rectangular piezoelectric laminated/sandwich composite beams

A C¹ finite element for flexural and torsional analysis of rectangular piezoelectric laminated/sandwich composite beams