Improved Transverse Shear Stresses in Composite Finite Elements Based on First Order Shear Deformation Theory

Rolfes, Raimund; Rohwer, K.

doi:10.1002/(sici)1097-0207(19970115)40:1<51::aid-nme49>3.0.co;2-3

Cited by 132 publications

(42 citation statements)

References 22 publications

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“…The higher-order models can be divided into (see, for example, Burton, 1989, 1990): (a) global approximation models, based on global through-the-thickness displacement, strain or stress approximation, and (b) discrete layer models based on layer-by-layer approximations of the response quantities in the thickness direction. The postprocessing techniques proposed for the evaluation of transverse stresses are based on the use of: (a) three-dimensional equilibrium equations (Chaudhuri, 1986;Chaudhuri and Seide, 1987;Engblom and Ochoa, 1985;Kant and Pandya, 1988;Reddy, Barbero and Teply, 1989); (b) predictor-corrector approaches (Noor, Burton and Peters, 1990;and Noor and Malik, 1999); and (c) simplifying assumptions (Rolfes and Rohwer, 1997;and Rolfes, Noor and Sparr, 1998). Most of the reported studies considered the case of mechanical loading only.…”

Section: Introductionmentioning

confidence: 99%

An assessment of five modeling approaches for thermo-mechanical stress analysis of laminated composite panels

Noor

Malik

2000

Computational Mechanics

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A study is made of the effects of variation in the lamination and geometric parameters, and boundary conditions of multi-layered composite panels on the accuracy of the detailed response characteristics obtained by ®ve different modeling approaches. The modeling approaches considered include four two-dimensional models, each with ®ve parameters to characterize the deformation in the thickness direction, and a predictorcorrector approach with twelve displacement parameters. The two-dimensional models are ®rst-order shear deformation theory, third-order theory; a theory based on trigonometric variation of the transverse shear stresses through the thickness, and a discrete layer theory. The combination of the following four key elements distinguishes the present study from previous studies reported in the literature: (1) the standard of comparison is taken to be the solutions obtained by using three-dimensional continuum models for each of the individual layers; (2) both mechanical and thermal loadings are considered; (3) boundary conditions other than simply supported edges are considered; and (4) quantities compared include detailed through-the-thickness distributions of transverse shear and transverse normal stresses.Based on the numerical studies conducted, the predictor-corrector approach appears to be the most effective technique for obtaining accurate transverse stresses, and for thermal loading, none of the two-dimensional models is adequate for calculating transverse normal stresses, even when used in conjunction with three-dimensional equilibrium equations.

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Section: Introductionmentioning

confidence: 99%

An assessment of five modeling approaches for thermo-mechanical stress analysis of laminated composite panels

Noor

Malik

2000

Computational Mechanics

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“…As shown in Figure 3, the HLPT predictions for the through-thickness distribution of interlaminar shear stress (normalized with pressure amplitude) practically coincide with the predictions of the exact solution. Shear stress distributions post-calculated by a single-layer theory [37] through the stress equilibrium equations are also shown and exhibit deviation with respect to the present model and exact solution. Validation studies also included comparison with a mixed finite element formulation in the case of a thick (a/ h = 10) simply supported [−15/+15] angle-ply plate subjected to static sinusoidal pressure.…”

Section: Application Casesmentioning

confidence: 69%

“…Di Sciuva and Gherlone [35] developed a high-order layerwise plate theory based on a third-order Hermitian distribution of the in-plane displacements and a linear Lagrangian approximation for the deflection through the thickness of each discrete layer to predict the static thermo-mechanical response of plate structures with damaged interfaces and developed a C 0 continuous 8-noded plate finite element [36]. As far as angle-ply thick composite or sandwich composite plates are concerned, most formulations published are based on modified Reissner-Mindlin theories [37][38][39], whereas Desai et al [40] developed a 3D finite element based on a mixed-field laminate theory to predict the static response of angle-ply composite plates. Yet, it seems that neither integrated high-order layerwise damping theories nor damped finite elements have been developed to account for the global and local damped dynamic response of thick composite and sandwich composite plates; moreover, the effect of local interlaminar shear response on modal damping has to be adequately quantified.…”

Section: Introductionmentioning

confidence: 99%

High‐order layerwise finite element for the damped free‐vibration response of thick composite and sandwich composite plates

Plagianakos

Saravanos

2008

Numerical Meth Engineering

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SUMMARYA high-order layerwise finite element methodology is presented, which enables prediction of the damped dynamic characteristics of thick composite and sandwich composite plates. The through-thickness displacement field in each discrete layer of the laminate includes quadratic and cubic polynomial distributions of the in-plane displacements, in addition to the linear approximations assumed by linear layerwise theories. Stiffness, mass and damping matrices are formulated from ply to structural level. Interlaminar shear stress compatibility conditions are imposed on the discrete layer matrices, leading to both size reduction and prediction of interlaminar shear stresses at the laminate interfaces. The C 1 continuous finite element implemented yields an element damping matrix in addition to element stiffness and mass matrices. Application cases include thick [0/90/0], [± ] S and [± ] composite plates with interlaminar damping layers and sandwich plates with composite faces and foam core. In the latter case, modal frequencies and damping were also experimentally determined and compared with the finite element predictions.

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“…Over the years, different methods to make these a posteriori improvements have been developed. These methods are in most cases based on utilising the 3D equilibrium equations in combination with Hooke's law or a simplifying assumption as in the recovery method by Rolfes and Rohwer [35]. For further reading on the subject, please refer to, for example, the reviews by Carrera [32] and Noor and Malik [33].…”

Section: Improved Prediction Of Transverse Stresses By Stress Recoverymentioning

confidence: 99%

“…e.g. [35]). Thus, it is not sufficient to construct the stress polynomial individually within each element.…”

Section: Integration Of Equationsmentioning

confidence: 99%

Adaptive modelling of delamination initiation and propagation using an equivalent single‐layer shell approach

Främby

Fagerström

Brouzoulis

2017

Numerical Meth Engineering

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A major challenge for crash failure analysis of laminated composites is to find a modelling approach, which is both sufficiently accurate, for example, able to capture delaminations, and computationally efficient to allow full-scale vehicle crash simulations. Addressing this challenge, we propose a methodology based on an equivalent single-layer shell formulation which is adaptively through-the-thickness refined to capture initiating and propagating delaminations. To be specific, single shell elements through the laminate thickness are locally and adaptively enriched using the extended finite element method such that delaminations can be explicitly modelled without having to be represented by separate elements. Furthermore, the shell formulation is combined with a stress recovery technique which increases the accuracy of predicting delamination initiations. The paper focuses on the parameters associated with identifying, introducing and extending the enrichment areas; especially on the impact of these parameters on the resulting structural deformation behaviour. We conclude that the delamination enrichment must be large enough to allow the fracture process to be accurately resolved, and we propose a suitable approach to achieve this. The proposed methodology for adaptive delamination modelling shows potential for being computationally efficient, and thereby, it has the potential to enable efficient and accurate full vehicle crash simulations of laminated composites. § We acknowledge that this work only considers parameters to model mode I delamination; however, we will consider these guidelines also for mode II delamination modelling.

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Improved Transverse Shear Stresses in Composite Finite Elements Based on First Order Shear Deformation Theory

Cited by 132 publications

References 22 publications

An assessment of five modeling approaches for thermo-mechanical stress analysis of laminated composite panels

An assessment of five modeling approaches for thermo-mechanical stress analysis of laminated composite panels

High‐order layerwise finite element for the damped free‐vibration response of thick composite and sandwich composite plates

Adaptive modelling of delamination initiation and propagation using an equivalent single‐layer shell approach

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