Exact and Approximate Linear and Nonlinear Initial Failure Analysis of Laminated Mindlin Plates in Flexure

Turvey, G.J.; Osman, Mahmoud Yassin

doi:10.1007/978-94-009-1125-3_6

Cited by 11 publications

(6 citation statements)

References 13 publications

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“…There is a 95 per cent chance that the percentage error in the estimated probability of failure will be less than that de ned by equation (24).…”

Section: Monte Carlo Simulation Methods In Reliability Analysismentioning

confidence: 97%

“…The coef cients F i and F ij are the functions of unidirectional lamina strengths and de ned in Table 1 for maximum stress, Hoffman, maximum strain, Tsai-Hill and Tsai-Wu failure criteria [24]. It should be mentioned that, in the Tsai-Hill failure criterion, when s 1 and s 2 are tensile, X and Y are de ned as X t and Y t .…”

Section: First Ply Failure Analysismentioning

confidence: 99%

“…In all these cases, the probabilistic strength distributions are obtained on the basis of 1000 simulation cycles with respect to each deterministic lateral pressure load. The percentage error can be obtained using equation (24). When 50 per cent failure is considered, the percentage error for the probabilistic strength distributions is 6.3 per cent.…”

Section: Probabilistic Strength Distribution Of the Sandwich Platementioning

confidence: 99%

“…Throughout this analysis, 1000 simulation cycles are used. Thus, the percentage error related to this analysis can be calculated from equation (24). From this analysis, the contribution of each basic design variable towards the sandwich plate reliability is identi ed.…”

Section: Sensitivity Analysis Of Basic Design Variablesmentioning

confidence: 99%

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Probabilistic failure analysis of a fibre-reinforced plastic sandwich plate subjected to a lateral pressure load

Jeong

Shenoi

2002

Proceedings of the Institution of Mechanical Engineers, Part L:

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This paper deals with probabilistic failure analysis of a bre-reinforced plastic (FRP) sandwich plate subjected to a lateral pressure load. Input parameters to the strength of the sandwich plate such as a lateral pressure load, elastic moduli and the geometric and ultimate strength values, are treated as basic design variables, and a speci c probability distribution is applied to them to take into account their variability. Based on the selected basic design variables, simpli ed higher-order shear deformation theory (HSDT) is used to calculate the probabilistic structural response of the sandwich plate. The limit state equations are derived from polynomial failure criteria such as maximum stress, maximum strain, Tsai-Hill, Tsai-Wu and Hoffman criteria. The calculated probabilistic structural response of the sandwich plate and the basic design variables of the ultimate strength are then substituted into the derived limit state equations to de ne the failure or survival state of the sandwich plate. Results are interpreted in three categories such as probabilistic failures at the faces and the core, probabilistic strength distributions of the sandwich plate and sensitivity of each selected basic design variable to estimated probabilistic sandwich plate strength.

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“…There is a 95 per cent chance that the percentage error in the estimated probability of failure will be less than that de ned by equation (24).…”

Section: Monte Carlo Simulation Methods In Reliability Analysismentioning

confidence: 97%

Section: First Ply Failure Analysismentioning

confidence: 99%

Section: Probabilistic Strength Distribution Of the Sandwich Platementioning

confidence: 99%

Section: Sensitivity Analysis Of Basic Design Variablesmentioning

confidence: 99%

See 2 more Smart Citations

Probabilistic failure analysis of a fibre-reinforced plastic sandwich plate subjected to a lateral pressure load

Jeong

Shenoi

2002

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…Investigation on the first ply failure analysis of composite stiffened and unstiffened laminated plates have been put forward by many researchers. Turvey and Osman [4] have studied the laminated composite plates under transverse loading. Tsai and Wu [5] have presented most general failure criteria for the composite materials.…”

Section: Journal Of Reinforced Plastics and Composites Vol 20 No 08/2001mentioning

confidence: 99%

First Ply Failure Analysis of Laminated Panels Under Transverse Loading

Prusty

Satsangi

Ray

2001

Journal of Reinforced Plastics and Composites

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The present investigation deals with the failure analysis of the weakest ply in a laminated composite plate or shell using the method of finite elements. The objective of the study is to detect the stress level at the stage of initiation of damage in the composite panels. An eight noded isoparametric quadratic shell element has been used applying first order shear deformation theory. The elegance of the present formulation lies in the capability of analysing plate as well as shallow and deep shell using a single formulation. Various failure criteria have been studied to predict the load when the weakest lamina fails under transverse static load. The investigation has been made on various plates and shells having varying lamination schemes. Published results on first ply failure analysis of laminated plates are scanty, however the results on laminated shells are not available in the literature. A number of problems on laminated plates have been solved and the results are compared with those available in the relevant literature. A parametric study has been carried out in the present investigation to predict the failure load of laminated shells.

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Case Studies

Ochoa¹,

Reddy²

1992

Finite Element Analysis of Composite Laminates

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Exact and Approximate Linear and Nonlinear Initial Failure Analysis of Laminated Mindlin Plates in Flexure

Cited by 11 publications

References 13 publications

Probabilistic failure analysis of a fibre-reinforced plastic sandwich plate subjected to a lateral pressure load

Probabilistic failure analysis of a fibre-reinforced plastic sandwich plate subjected to a lateral pressure load

First Ply Failure Analysis of Laminated Panels Under Transverse Loading

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