A Postprocessing Approach to Determine Transverse Stresses in Geometrically                Nonlinear Composite and Sandwich Structures

Lee, Keejoo; Lee, Sung W.

doi:10.1177/002199803038111

Cited by 19 publications

(11 citation statements)

References 18 publications

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“…This formulation is less complex than those set forth by other authors [34,35,40,42,[44][45][46][47]. In particular, for in-plane stress data given by a finite element solution, the current procedure includes no correction of the in-plane response, no parametric fitting of in-plane stresses, and no additional finite element analyses.…”

Section: Discussionmentioning

confidence: 99%

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Geometrically Nonlinear Stress Recovery in Composite Laminates

2012

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Composite laminates are increasingly being used as primary load bearing members in structures. However, because of the directional dependence of the properties of composite materials, additional failure modes appear that are absent in homogeneous, isotropic materials. Therefore, a stress analysis of a composite laminate is not complete without an accurate representation of the transverse (out-of-plane) stresses.Stress recovery is a common method to estimate the transverse stresses from a plate or shell analysis. This dissertation extends stress recovery to problems in which geometric nonlinearities, in the sense of von Kármán, are important. The current work presents a less complex formulation for the stress recovery procedure for plate geometries, compared with other implementations, and results in a post-processing procedure which can be applied to data from any plate analyses; analytical or numerical methods, resulting in continuous or discretized data.Recovered transverse stress results are presented for a variety of geometrically nonlinear example problems: a semi-infinite plate subjected to quasi-static transverse and shear loading, and a finite plate subjected to both quasi-static and dynamic transverse loading. For all cases, the corresponding results from a fully three-dimensional stress analysis are shown alongside the distributions from the stress recovery procedure. Good agreement is observed between the stresses obtained from each method for the cases considered. Discussion is included regarding the applicability and accuracy of the technique to varying plate geometries and varying degrees of nonlinearity, as well as the viability of the procedure in replacing a three-dimensional analysis in regard to the time required to obtain a solution.The proposed geometrically nonlinear stress recovery procedure results in estimations for transverse stresses which show good correlation to the three-dimensional finite element solutions. The procedure is accurate for quasi-static and dynamic loading cases and proves to be a viable replacement for more computationally expensive analyses.

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Section: Discussionmentioning

confidence: 99%

“…Lee and Lee [42] formulated a post-processing procedure for determining transverse stresses in composite and sandwich structures undergoing finite rotations. The approach uses displacements and stresses as calculated by a plate finite element analysis.…”

Section: Methodsmentioning

confidence: 99%

Geometrically Nonlinear Stress Recovery in Composite Laminates

2012

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“…The stress recovery was fulfilled by employing one-dimensional finite element interpolation in the thickness direction. The interpolation was performed on the in-plane stresses and shear forces obtained by a shell element analysis [27]. Park et al used the post-processing procedure to evaluate the distribution of transverse stresses in the finite rotation analysis of laminated panels.…”

Section: Lamination Theoriesmentioning

confidence: 99%

A curved triangular element for nonlinear analysis of laminated shells

Rezaiee‐Pajand

Arabi

2016

Composite Structures

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“…(14) will require the second order derivatives of the displacement. Several authors (K. Lee [26], K.Y. Sze [27], Zenkiewicz and Zhu [28], Rolfes and Rohwer [29,30]) used a method of postprocessing based on the three-dimensional equilibrium equations or a predictor-corrector approach or simplified assumptions.…”

Section: Stress Fieldsmentioning

confidence: 99%

Shear Correction Factors for Functionally Graded Plates

Nguyen

Sab

Bonnet

2007

Mechanics of Advanced Materials and Structures

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The Reissner-Mindlin plate model for calculation of functionally graded materials has been proposed in literature by using shear correction coefficient of homogeneous model. However, this use is a priori not appropriate for the gradient material. Identification of the transverse shear factors is thus investigated in this paper. The transverse shear stresses are derived by using energy considerations from the expression of membrane stresses. Using the obtained transverse shear factor, a numerical analysis is performed on a simply supported FG square plate whose elastic properties are isotropic at each point and vary through the thickness according to a power law distribution. The numerical results of a static analysis are compared with available solutions from previous studies.

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A Postprocessing Approach to Determine Transverse Stresses in Geometrically Nonlinear Composite and Sandwich Structures

Cited by 19 publications

References 18 publications

Geometrically Nonlinear Stress Recovery in Composite Laminates

Geometrically Nonlinear Stress Recovery in Composite Laminates

A curved triangular element for nonlinear analysis of laminated shells

Shear Correction Factors for Functionally Graded Plates

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