A non-linear Ritz method for the analysis of low velocity impact induced dynamics in variable angle tow composite laminates

Milazzo, Alberto; Benedetti, Ivano

doi:10.1016/j.compstruct.2021.114533

Cited by 17 publications

(10 citation statements)

References 50 publications

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“…These tools would provide a direct representation of the displacement jumps between contiguous layers and their relation with the inter-laminar damage up to complete decohesion. Impact-induced damage could be investigated employing suitable contact mechanics laws for representing the localized mechanical effects of impacts in conjunction with the incremental scheme proposed here, to track the ensuing damage evolution [55].…”

Section: Discussionmentioning

confidence: 99%

A non-linear Ritz method for progressive failure analysis of variable angle tow composite laminates

Campagna

Milazzo

Benedetti

et al. 2022

Mechanics of Advanced Materials and Structures

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A Ritz formulation for non-linear analysis of damage initiation and evolution in variable angle tow composite plates under progressive loading is presented. The model is built on a few key items. It assumes first order shear deformation theory kinematics and non-liner strains in the von Kármán sense.The constitutive relationships are formulated in the framework of continuum damage mechanics at the ply level, so that each laminate layer can experience in-plane damage initiation and evolution, then reflected in material softening and loss of local stiffness. A Ritz polynomial expansion of the primary variables and the minimization of the total potential energy provide the discrete solution equations, which are then solved with an incremental-iterative approach for capturing damage evolution. A few tests have been successfully performed to validate the approach. Eventually, some original results about variable angle tow plates under progressive in-plane compression loads highlight the effect of damage on the post-buckling response.

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Section: Discussionmentioning

confidence: 99%

A non-linear Ritz method for progressive failure analysis of variable angle tow composite laminates

Campagna

Milazzo

Benedetti

et al. 2022

Mechanics of Advanced Materials and Structures

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“…The proposed method can be used to perform parametric studies [34,62,35] to investigate the behaviour of variable stiffness plates with cut-outs and provide data for the selection of effective structural solutions.…”

Section: Examples Of Parametric Studiesmentioning

confidence: 99%

“…On the other hand, semi-analytical methods can be recognized as computationally efficient to model variable stiffness composite structures especially in view of optimization procedure application. In particular, the Rayleigh-Ritz method has been extensively employed to investigate the buckling and post-buckling behaviour of intact variable stiffness plate by Weaver and co-workers [23,24,25,26,27], by Guimares et al [28], by Vescovini and Dozio [29] and by Milazzo and co-workers [30,31,32,33]. Also cracked variable stiffness plates have been investigated for buckling and free vibrations by the eXtended Ritz method [34,35].…”

Section: Introductionmentioning

confidence: 99%

Buckling and post-buckling of variable stiffness plates with cutouts by a single-domain Ritz method

Milazzo

Guarino²,

Gulizzi³

2023

Thin-Walled Structures

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“…δ 0 implies the perpetual indentation and may vanishes when δ m is smaller than a critical indentation. 24…”

Section: Impact Dynamicsmentioning

confidence: 99%

“…Recognized by the fully Lagrangian meshless nature, SPH formulation can easily monitor the particle's movement and enables the application in a large range of areas. 24 As one of the earliest particle method, SPH has become a promising alternative to mesh-based methods and widely developed for fluid mechanics problems, structural analysis and fluid-solid interactions. 27,28 Despite this, SPH has suffers several drawbacks in comparison with classical FEM.…”

Section: Ssph Formulationmentioning

confidence: 99%

Symmetric SPH modeling of functionally graded nanocomposite plates subjected to low‐velocity impact

Li,

Lin,

Naceur

et al. 2023

Polymer Composites

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Functionally graded (FG) composites reinforced by carbon nanotubes (CNTs) have received extensive attention due to their excellent mechanical properties. The impact responses of FG‐CNT nanocomposites are analyzed by the developed meshless method. The temperature‐dependent material properties are expressed by way of the extended rule of mixture. The kinematics of the composite plate is established on the basis of the first‐order shear deformation theory. The modified Hertzian contact law is adopted to evaluate the impact loading between the plate and the impactor. The dynamic balance equations of the plate are constructed and computed by the Systemic Smoothed Particle Hydrodynamics (SSPH) method with strengthened prediction ability. The impacting behaviors of the FG‐CNT nanocomposite plate, as well as the parametric effects, are analyzed by the developed model and the suitability is clearly demonstrated.Highlights Impact of FG‐CNTRC is firstly solved by a self‐developed meshless SPH model. Strong capacity of the SPH impact model is clearly demonstrated. More CNTs close to the strike face would improve the impact resistance.

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A non-linear Ritz method for the analysis of low velocity impact induced dynamics in variable angle tow composite laminates

Cited by 17 publications

References 50 publications

A non-linear Ritz method for progressive failure analysis of variable angle tow composite laminates

A non-linear Ritz method for progressive failure analysis of variable angle tow composite laminates

Buckling and post-buckling of variable stiffness plates with cutouts by a single-domain Ritz method

Symmetric SPH modeling of functionally graded nanocomposite plates subjected to low‐velocity impact

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