Application of the first-order shear deformation theory to the analysis of laminated glasses and photovoltaic panels

Eisenträger, Johanna; Naumenko, Konstantin; Altenbach, Holm; Köppe, H.

doi:10.1016/j.ijmecsci.2015.03.012

Cited by 52 publications

(42 citation statements)

References 23 publications

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“…The distance over which the boundary layer effect is observable depends on the parameters b and l. With an increase of b, the distance over which the boundary layer effect is observable decreases and the deviations between the closed-form solution and the FEM increase in the vicinity of the minima and maxima. These results are in line with [21], where the boundary layer effects have been examined for Mindlin plates.…”

Section: Verification Of Solutions and Analysis Of Boundary Layer Effsupporting

confidence: 90%

“…Then, Eqs. (21) and (22) are transformed into a matrix notation. In what follows, matrices are represented by bold roman upper-case letters, while bold roman lower-case letters are used for vectors.…”

Section: Finite Element Formulation Based On the Layer-wise Theory Anmentioning

confidence: 99%

“…However, numerical techniques are required to estimate the effective transverse shear deformation in the inelastic range [18,19]. It should be mentioned that for laminates with extreme differences in the stiffness of layers the FSDT fails to predict the deformation properties of the laminate correctly, as shown for example in [4,7] for beams and in [20,21] for plates.…”

Section: Introductionmentioning

confidence: 99%

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A user-defined finite element for laminated glass panels and photovoltaic modules based on a layer-wise theory

Eisenträger

Naumenko

Altenbach

et al. 2015

Composite Structures

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Section: Verification Of Solutions and Analysis Of Boundary Layer Effsupporting

confidence: 90%

Section: Finite Element Formulation Based On the Layer-wise Theory Anmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A user-defined finite element for laminated glass panels and photovoltaic modules based on a layer-wise theory

Eisenträger

Naumenko

Altenbach

et al. 2015

Composite Structures

Self Cite

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“…Another widely used approach for sandwich and laminate structures is the first order shear deformation theory (FSDT) of plates . The principal assumptions of this theory is that the normal fiber to the middle surface of a plate behaves like rigid body during the deformation.…”

Section: Introductionmentioning

confidence: 99%

On the use of the first order shear deformation plate theory for the analysis of three‐layer plates with thin soft core layer

2015

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Three‐layer laminates with thin soft core layer can be found in many engineering applications. Examples include laminated glasses and photovoltaic panels. For such structures high contrast in the mechanical properties of faces and core requires the use of advanced methods to determine effective material properties of the laminate. In this paper we address the application of the first order shear deformation plate theory to the analysis of laminates with thin and soft core layer. In particular, transverse shear stiffness parameters for three‐layered plates with different symmetric configurations are analyzed. For classical sandwiches with thick core layer the result coincides with the Reissner's formula. For the case of thin and compliant core layer the new expression for the effective shear stiffness is derived.

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“…• Single-layered approaches, such as effective thickness methods that approximate laminated units by monolithic, geometrically linear, systems that achieve the equivalent maximum deflection or stress [7][8][9]; see also [10,11] for an overview.…”

Section: Introductionmentioning

confidence: 99%

Comparison of viscoelastic finite element models for laminated glass beams

Zemanová

Zeman

Šejnoha

2017

International Journal of Mechanical Sciences

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Laminated glass elements, which consist of stiff elastic glass layers connected with a compliant viscoelastic polymer foil, exhibit geometrically non-linear and time/temperature-sensitive behavior. In computational modeling, the viscoelastic effects are often neglected or a detailed continuum formulation typically based on the volumetric-deviatoric elastic-viscoelastic split is used for the interlayer. Four layerwise beam theories are introduced in this paper, which differ in the non-linear beam formulation at the layer level (von Kármán/Reissner) and in constitutive assumptions for the interlayer (a viscoelastic solid with the time-independent bulk modulus/Poisson ratio). We perform detailed verification and validation studies at different temperatures and compare the accuracy of the selected formulation with simplified elastic solutions used in practice. We show that all the four formulations predict very similar responses. Therefore, our suggestion is to use the most straightforward formulation that combines the von Kármán model with the assumption of timeindependent Poisson ratio. The simplified elastic model mostly provides response in satisfactory agreement with full viscoelastic solutions. However, it can lead to unsafe or inaccurate predictions for rapid changes of loading. These findings provide a suitable basis for extensions towards laminated plates and glass layer fracture, owing to the modular format of layerwise theories.

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Application of the first-order shear deformation theory to the analysis of laminated glasses and photovoltaic panels

Cited by 52 publications

References 23 publications

A user-defined finite element for laminated glass panels and photovoltaic modules based on a layer-wise theory

A user-defined finite element for laminated glass panels and photovoltaic modules based on a layer-wise theory

On the use of the first order shear deformation plate theory for the analysis of three‐layer plates with thin soft core layer

Comparison of viscoelastic finite element models for laminated glass beams

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