Benchmark Solution of Laminated Beams with Bonding Imperfections

Chen, W. Q.; Ying, Jia; Cai, Jun; Ye, G. R.

doi:10.2514/1.4776

Cited by 27 publications

(8 citation statements)

References 12 publications

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“…Composite beams, such as the composite plated concrete beams, can also be assumed and studied in the state of plane stress (Chen et al, 2003b(Chen et al, , 2004Xu and Ding, in press). For a composite steel and concrete beam of Fig.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional analytical solutions of simply supported composite beams with interlayer slips

2007

International Journal of Solids and Structures

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A new plane stress model of composite beams with interlayer slips is developed by the state space method. By virtue of the method of Fourier series expansion, the solution is obtained analytically for beams with two simply supported ends, which rigorously satisfies the governing equations and the specified boundary conditions. The solution includes the effect of shear deformation and is two-dimensionally exact since no Euler-Bernoulli hypothesis of the deformation is introduced, which is usually assumed in the one-dimensional theory. The results obtained from the present two-dimensional method are compared with those available in literature based on the one-dimensional theory. Parametric studies on the rigidity of the shear connectors are also conducted.

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Section: Introductionmentioning

confidence: 99%

Two-dimensional analytical solutions of simply supported composite beams with interlayer slips

2007

International Journal of Solids and Structures

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“…When the thickness of this layer vanishes, the interfacial tractions become continuous, while the displacements at either side of the interface layer become discontinuous. Micromechanics analysis shows that the jump in displacement is linearly proportional to the interfacial traction [11] and the proportional constants are the effective interface parameters (spring-like constant) [10][11][12][13][14][15][16][17]. Recently, the dislocation-like model has been proposed to describe mathematically the effect of an imperfect interface on the load transfer.…”

Section: Introductionmentioning

confidence: 98%

“…It turns out that for very compliant interphase there are significant displacement jumps and negligible traction jumps, while for very stiff interphase the situation is reversed; the displacement jumps are insignificant and the traction jumps may be considerable. Note that in available works related to composites with imperfect interfaces, most researchers paid their attention to the interface conditions involving displacement jumps [10][11][12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

On time-dependent behavior of cross-ply laminated strips with viscoelastic interfaces

Yan

Chen

Wang

2007

Applied Mathematical Modelling

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The two-dimensional problem of a simply supported laminated orthotropic strip with viscoelastic interfaces under static loading is studied. State-space formulations are developed based on the exact elasticity equations governing orthotropic media and the Kelvin-Voigt constitutive relation of interfaces. Since the response of the strip is time-dependent, the power series expansion technique is adopted to model the variations of elastic fields with time. Results show that the response of the laminated strip with viscoelastic interfaces changes remarkably with time, which is also significantly different from that of a plate with perfect interfaces or with viscous interfaces. Note that from the present analysis, the response for a laminated plate with spring-like interfaces or with viscous interfaces can be easily obtained because they are just two particular cases of the present Kelvin-Voigt model.

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“…In literature, two models that allow interfacial slip have been suggested by Chen and Nelson [11] and Suhir [12,13], respectively. Cheng et al [14] suggested another weak interface model, called linear spring model, which has been adopted by Chen et al [15][16][17] in the comprehensive study of beams/plates/ shells structures via the state-space method. In the community of civil engineering, the so-called Newmark's model [18] has been widely employed in the analysis of composite beams/beamcolumns with partial interaction [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Modified Stoney's Formulas for Small-Scaled Bilayer Systems

Chen

2012

Journal of Engineering Materials and Technology

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The mechanics of a small-scaled bilayer film-substrate system subject to temperature variation is studied. The modified couple stress theory is employed to take account of the size effects that are usually observed in small-scaled structures. In addition, the effect of weak bonding between the film and substrate is examined by using a linear slip-type model. Exact solutions are derived and the closed-form expressions for residual thermal stress and curvature of the system are given. Modified Stoney's formulas are also presented for the bilayer system with perfect interface or imperfect interface between the film and the substrate.

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Benchmark Solution of Laminated Beams with Bonding Imperfections

Cited by 27 publications

References 12 publications

Two-dimensional analytical solutions of simply supported composite beams with interlayer slips

Two-dimensional analytical solutions of simply supported composite beams with interlayer slips

On time-dependent behavior of cross-ply laminated strips with viscoelastic interfaces

Modified Stoney's Formulas for Small-Scaled Bilayer Systems

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