Shear correction factors for layered plates and shells

Gruttmann, Friedrich; Wagner, Werner

doi:10.1007/s00466-016-1339-2

Cited by 22 publications

(8 citation statements)

References 42 publications

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“…All data are summarized as follows. With shear correction factor k = 0.03, computed with element formulation [37], there is good agreement in the elastic range. For inelasticity the factor is applied to the algorithmic tangent matrix.…”

Section: Elasto-plastic Analysis Of a Sandwich Platementioning

confidence: 80%

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An advanced shell model for the analysis of geometrical and material nonlinear shells

Gruttmann

Wagner

2020

Comput Mech

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In this paper layered shells subjected to static loading are considered. The displacements of the Reissner–Mindlin theory are enriched by a an additional part. These so-called fluctuation displacements include warping displacements and thickness changes. They lead to additional terms for the material deformation gradient and the Green–Lagrangian strain tensor. Within a nonlinear multi-field variational formulation the weak form of the boundary value problem accounts for the equilibrium of stress resultants and couple resultants, the local equilibrium of stresses, the geometrical field equations and the constitutive equations. For the independent shell strains an ansatz with quadratic shape functions is chosen. This leads to a significant improved convergence behaviour especially for distorted meshes. Elimination of a set of parameters on element level by static condensation yields an element stiffness matrix and residual vector of a quadrilateral shell element with the usual 5 or 6 nodal degrees of freedom. The developed model yields the complicated three-dimensional stress state in layered shells for elasticity and elasto-plasticity considering geometrical nonlinearity. In comparison with fully 3D solutions present 2D shell model requires only a fractional amount of computing time.

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Section: Elasto-plastic Analysis Of a Sandwich Platementioning

confidence: 80%

“…The 3D meshes are generated with 4 elements in thickness direction of each layer. This is necessary to map the complicated shape of the stresses through the thickness, see [37].…”

Section: Comparison Of Relative Computing Timesmentioning

confidence: 99%

An advanced shell model for the analysis of geometrical and material nonlinear shells

Gruttmann

Wagner

2020

Comput Mech

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“…where E and ν denotes Young's modulus and Poisson s ratio of the material, respectively; k stands for the shear correction factor [29]. The S4R shell element has shown its suitability for modeling thin-walled composite struts [20,23], thus it was used for modeling the channel section strut in this study.…”

Section: Discrete Models Of Composite Strutsmentioning

confidence: 99%

A Numerical Study of the Effect of Component Dimensions on the Critical Buckling Load of a GFRP Composite Strut under Uniaxial Compression

2020

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In the practical design of thin-walled composite columns, component dimensions should be wisely designed to meet the buckling resistance and economic requirements. This paper provides a novel and useful investigation based on a numerical study of the effects of the section dimensions, thickness ratio, and slenderness ratio on the critical buckling load of a thin-walled composite strut under uniaxial compression. The strut was a channel-section-shaped strut and was made of glass fiber-reinforced polymer (GFRP) composite material by stacking symmetrical quasi-isotropic layups using the autoclave technique. For the purpose of this study, a numerical finite element model was developed for the investigation by using ABAQUS software. The linear and post-buckling behavior analysis was performed to verify the results of the numerical model with the obtained buckling load from the experiment. Then, the effects of the cross-section dimensions, thickness ratio, and slenderness ratio on the critical buckling load of the composite strut, which is determined using an eigenvalue buckling analysis, were investigated. The implementation results revealed an insightful interaction between cross-section dimensions and thickness ratio and the buckling load. Based on this result, a cost-effective design was recommended as a useful result of this study. Moreover, a demarcation point between global and local buckling of the composite strut was also determined. Especially, a new design curve for the channel-section GFRP strut, which is governed by the proposed constitutive equations, was introduced to estimate the critical buckling load based on the input component dimension.

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“…It should be noted that the sequence of expressions (23-28) presents just a schematic picture of the whole FE procedure; in particular, the relation between strains and nodal displacements that is implemented in computer codes is much more complex than shown in (24)(25): firstly, the bending (14) and transverse shear (20) parts of the strains are handled separately, and secondly, a distinctive rearrangement of matrices B allowed for a much effective evaluation of integrals in (27)(28) by taking advantage of a through-the-thickness pre-integration. By performing the through-the-thickness integration of the appropriate stress components, one can obtain the effective stress resultants, among others the transverse shear forces:…”

Section: Equivalent Single-layer Modelsmentioning

confidence: 99%

“…It is quite obvious that instead of calculating the shear correction factors one can simply apply "corrected" transverse shear stiffness in the FOSD model-this tactic was described, e.g., in [23,24]. In this context, one should also mention a recent paper of Gruttmann and Wagner [25] where the global transverse shear correction factors for layered panels were obtained as by-products in the analysis performed with a more advanced approach utilizing a coupled global-local shell model with layer-wise warping displacements.…”

Section: Equivalent Single-layer Modelsmentioning

confidence: 99%

Equivalent single-layer models in deformation analysis of laminated multilayered plates

Kreja

Sabik

2019

Acta Mech

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The performance of selected equivalent single-layer (ESL) models is evaluated within several classical benchmark tests for linear static analysis of multilayered plates. The authors developed their own finite element software based on the first-order shear deformation theory (FOSD) with some modifications incorporated including a correction of the transverse shear stiffness and an application of zigzag-type functions. Seven different ESL models were considered in the study; beside the classical FOSD model, there were three FOSD models with various transverse shear corrections and three ESL models enhanced by the application of zigzag functions. In addition, particular attention was paid to investigation of differences related to the "soft" and "hard" variants of the simple support.

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Shear correction factors for layered plates and shells

Cited by 22 publications

References 42 publications

An advanced shell model for the analysis of geometrical and material nonlinear shells

An advanced shell model for the analysis of geometrical and material nonlinear shells

A Numerical Study of the Effect of Component Dimensions on the Critical Buckling Load of a GFRP Composite Strut under Uniaxial Compression

Equivalent single-layer models in deformation analysis of laminated multilayered plates

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