Development of Benson–Mayers theory on the wrinkling of anisotropic sandwich panels

Hadi, Bambang K.; Matthews, F.L.

doi:10.1016/s0263-8223(00)00077-5

Cited by 50 publications

(27 citation statements)

References 7 publications

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“…In these and subsequent studies on the subject, e.g., [5], the assumptions are that the face sheet and the core are linear elastic and isotropic materials, and that it assumes a thin strut or plate in cylindrical bending subjected to a uniaxial compressive load. Extensions of this type of analysis towards more general plate problems with generally anisotropic face sheets, orthotropic cores and multi-axial loading have been studied in [6][7][8], still based on linear elastic material behaviour and focusing on the stability problem. where D f is the bending stiffness of the face sheet alone, P is the compressive load (per unit width) acting on the face sheet and σ z the support pressure from the core, the elastic foundation.…”

Section: Background and Problem Statementmentioning

confidence: 99%

Imperfection-induced Wrinkling Material Failure in Sandwich Panels

Fagerberg¹,

Zenkert²

2005

Jnl of Sandwich Structures & Materials

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Abstract:In this paper sandwich wrinkling, or local face sheet instability, is treated in the context of material failure. Traditionally, test results rarely comply well with the predicted failure load and a knockdown factor often has to be used. The reason for this is often referred to being the effect of initial geometrical imperfections. In this paper, imperfections are included in the form of the natural waveform given by the linear stability analysis, i.e., a short wavelength sinusoidal buckling shape. These initial imperfections lead to increased displacements during loading giving rise to both in-plane compressive strain and a varying bending strain. These strains can then be related to material failure criteria, one for the face sheet compressive strain and one for the core normal strain. An analytical model is derived and compared to experimental results and several issues are revealed. Using a realistic initial imperfection amplitude, the measured panel strength agrees very well with the derived model, giving a prediction somewhat below the values obtained from the traditional approach. This verifies that the actual wrinkling failure is below the theoretical instability load. Secondly, the model is able to distinguish between different failure modes, face sheet compression failure or core/adhesive joint tensile failure, giving good correlation with experimental findings. Thus, it appears that using initial imperfections as a basis for wrinkling analysis provides a better foundation for failure analysis than ordinary stability analysis, and it also allows to determine what failure mode is predominant. Finally, it is shown that the choice of core material can be done based on the theory presented to obtain a more efficient sandwich panel.

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Section: Background and Problem Statementmentioning

confidence: 99%

Imperfection-induced Wrinkling Material Failure in Sandwich Panels

Fagerberg¹,

Zenkert²

2005

Jnl of Sandwich Structures & Materials

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“…stress) based approach, where the onset of wrinkling is predicted by the solution of an eigenvalue problem were also used by several authors [16][17][18][19]. A strain energy based approach was used in [18][19][20] to analyze wrinkling behavior of anisotropic sandwich panels, sandwich columns, and thin-walled tube with large diameter in an NC bending process, respectively. The critical conditions at the onset of wrinkling were determined by equating the total strain Es associated with an assumed deflection (e.g.…”

Section: Introductionmentioning

confidence: 99%

Parametric Study of Dynamic Wrinkling in a Thin Sheet on Elastic Foundation

Hamdan¹,

Al-Qaisia²,

Abdallah³

2012

IJMNTA

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This work presents an approximate analytical study of the problem of dynamic wrinkling of a thin metal sheet under a specified time varying tension. The problem is investigated in the framework of the dynamic stability of a nonlinear plate model on elastic foundation which namely takes into account the nonlinear mechanics of mid-plane stretching and the dependence of the membrane force on this mechanics. The plate is assumed to be a wide rectangular slab, hinged at two opposite ends and free at the long ends, which can be deformed in a cylindrical shape so that the governing in-plane bending equation of motion takes the same form as that of a beam (e.g. lateral strip) element. An approximate analytical analysis of the beam wrinkling behavior under sinusoidal parametric excitation is carried out by using the assumed single mode wrinkling motion to reduce the beam field nonlinear partial differential equation to that of a single degree of freedom non-linear oscillator. A first order stability analysis of an approximate analytical solution obtained using the Multi-Time-Scales (MMS) method is used to derive a criterion defining critical driving frequency in terms of system parameters for the initiation of wrinkling motion in the thin metal sheet. Results obtained using this criterion is presented for selected values of system parameters.

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“…Hadi and F.L. Matthews [7] developed a model to calculate the total energy of sandwich panels due to external loads by assuming the core as an anti-plane core. The faces were made of laminated composite plates that were anisotropic plates in nature.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, the methodology developed previously [7] is used to compute deformation and stresses of sandwich panels due to localized pressure. The results are then compared by finite element results.…”

Section: Introductionmentioning

confidence: 99%

Bending and Deformation of Sandwich Panels Due to Localized Pressure

Hadi¹,

Fajar²

2005

itbj.eng.sci.

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Bending and deformation of sandwich panels due to localized pressure were analyzed using both Rayleigh-Ritz and finite element methods. The faces were made of laminated composite plates, while the core was a honeycomb material. Carbon fiber and glass fiber reinforced plastics were used for composite plate faces. In the case of Rayleigh-Ritz method, first the total energy of the system was calculated and then taking the variations of the total energy, the sandwich panel deflections could be computed. The deflections were assumed by means of Fourier series. A finite element code NASTRAN was exploited extensively in the finite element method. 3-dimensional 8-node brick elements were used to model sandwich panels, for both the faces sheets and the core. The results were then compared to each other and in general they are in good agreements. Dimple phenomena were found in these cases. It shows that localized pressure on sandwich structures will produce dimple on the pressurize region with little effects on the rest of the structures.

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Development of Benson–Mayers theory on the wrinkling of anisotropic sandwich panels

Cited by 50 publications

References 7 publications

Imperfection-induced Wrinkling Material Failure in Sandwich Panels

Imperfection-induced Wrinkling Material Failure in Sandwich Panels

Parametric Study of Dynamic Wrinkling in a Thin Sheet on Elastic Foundation

Bending and Deformation of Sandwich Panels Due to Localized Pressure

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