Post-buckling analysis of cracked multilayered composite plates by pb-2 Rayleigh–Ritz method

Milazzo, Alberto; Oliveri, Vincenzo

doi:10.1016/j.compstruct.2015.05.007

Cited by 45 publications

(23 citation statements)

References 45 publications

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“…Recently, the lead authors of the present work presented a Rayleigh-Ritz approach for large deflection analysis of composite panels and thin-walled structures based on FSDT [43][44][45], demonstrating its ability in modelling postbuckling behaviour. In the present study, this approach is extended to VAT stiffened plates and thin-walled structures undergoing thermo-mechanical loadings.…”

Section: Introductionmentioning

confidence: 78%

“…For the translational springs the representative stiffness coefficient is chosen as the maximum Young's modulus of the laminate, whereas for the rotational springs it is chosen as the maximum value of the laminate'sYoung's modulus times the square of the plate thickness. Sensitivity analyses led to a value of S = 5 being chosen so that no appreciable variations in the results was observed for S in the range from 3 to 7[43,53].…”

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confidence: 99%

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Thermo-mechanical post-buckling analysis of variable angle tow composite plate assemblies

Oliveri

Milazzo

Weaver

2018

Composite Structures

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The increasing use of composite materials for lightweight structural applications and the extended tailoring capabilities offered by variable stiffness laminates requires rapid and robust analysis tools that adequately describe the mechanical behaviour of such structures. In this work, a Rayleigh-Ritz solution for generally restrained multilayered stiffened variable angle tow plates in the post-buckling regime is presented. The plate model is based on first-order shear deformation theory and accounts for geometrical nonlinearity through von Kármán's assumptions. General symmetric and unsymmetric stacking sequences are con

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Section: Introductionmentioning

confidence: 78%

mentioning

confidence: 99%

Thermo-mechanical post-buckling analysis of variable angle tow composite plate assemblies

Oliveri

Milazzo

Weaver

2018

Composite Structures

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“…The Legendre polynomials are chosen because they capture localised behaviour well due to the non-periodic nature of the successive polynomials with respect to trigonometric functions [12][13][14]. Moreover, with Legendre polynomials the choice between simply-supported, clamped or free boundary conditions is done by simply including or not the first terms in the series [12,15,16], in contrast with penalization-based approaches for linear [17][18][19] and non-linear semi-analytical approaches [20][21][22][23]. It has been mentioned that at the vertical edges, the Φ 0 functions only describe the 0 behaviour, i.e.…”

Section: Figmentioning

confidence: 99%

Semi-Analytical Modelling of Variable Stiffness Laminates with Cut-Outs

Janssens¹,

Castro²

2021

AIAA Scitech 2021 Forum

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Designs taking advantage of fibre-steered laminated manufacturing can optimally vary the stiffness and strength properties of high-performance structural components according to the geometry, loads and boundary conditions. For the stability behaviour of laminates with discontinuities such as local reinforcements and cut-outs, variable stiffness laminates have the additional ability to decrease stress concentration factors, increase buckling loads and decrease the negative effects of a cut-out; outperforming traditional straight-fibre designs. With the aim of finding closed-form analysis methods or methods with a reduced computational cost, the present study proposes a semi-analytical framework to analyze the stability behaviour of variable stiffness laminates with local reinforcements and cut-outs. Due to the discontinuous nature of the displacement field in these structures, the approximation functions are enriched to capture the behaviour near the discontinuity. In order to determine the energy functional derivatives across the laminate domain, Gauss-Legendre Quadrature numerical integration rules are applied to both rectangular and circular domains and the resultant energies are obtained by subtracting the integration of the cut-out domain from the full domain. A displacement-based formulation is used for the out-of-plane field variable, whereas a stress-based approach is used for the in-plane pre-buckling stress state. The model is set-up for balanced and symmetric laminates, thus decoupling the out-of-plane and the in-plane behaviours. A thorough verification is performed against existing models in the literature and against finite element results. The results for various plates and laminates with varying discontinuities and variable stiffness properties show a good agreement for both in-plane and out-of-plane field variables, ultimately leading to an accurate prediction of the stability behavior of structures with discontinuities.

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“…Once an ESL or LW representation of the multi-physics behavior of the structural element is assumed, the reduced equations, expressed in terms of the unknown in-plane functions, must be numerically solved. A popular strategy for the numerical treatment of the problem is based on the employment of a suitable multi-physics, or generalized, variational statement, providing the weak formulation of the problem, followed by the application of a suitable solution technique, e.g., the finite element method [13], the Rayleigh-Ritz method [16][17][18] or other similar approaches.…”

Section: Introductionmentioning

confidence: 99%

Layer-Wise Discontinuous Galerkin Methods for Piezoelectric Laminates

2020

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In this work, a novel high-order formulation for multilayered piezoelectric plates based on the combination of variable-order interior penalty discontinuous Galerkin methods and general layer-wise plate theories is presented, implemented and tested. The key feature of the formulation is the possibility to tune the order of the basis functions in both the in-plane approximation and the through-the-thickness expansion of the primary variables, namely displacements and electric potential. The results obtained from the application to the considered test cases show accuracy and robustness, thus confirming the developed technique as a supplementary computational tool for the analysis and design of smart laminated devices.

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Post-buckling analysis of cracked multilayered composite plates by pb-2 Rayleigh–Ritz method

Cited by 45 publications

References 45 publications

Thermo-mechanical post-buckling analysis of variable angle tow composite plate assemblies

Thermo-mechanical post-buckling analysis of variable angle tow composite plate assemblies

Semi-Analytical Modelling of Variable Stiffness Laminates with Cut-Outs

Layer-Wise Discontinuous Galerkin Methods for Piezoelectric Laminates

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