A Sublaminate Generalized Unified Formulation for the analysis of composite structures

D′Ottavio, Michele

doi:10.1016/j.compstruct.2016.01.087

Cited by 71 publications

(31 citation statements)

References 57 publications

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“…Higher-order approximations with N k U r > 1 are implemented through a hierarchic enrichment of the polynomial basis and employ Legendre polynomials. More details can be found elsewhere [21,23].…”

Section: Variable Kinematics Modeling In Sgufmentioning

confidence: 99%

“…Carrera Unified Formulation (CUF) was subsequently generalized by Demasi [20] (Generalized Unified Formulation, GUF). D'Ottavio [21] further extended the flexibility of GUF to include a sublaminate approach (SGUF): in SGUF, the composite stack is subdivided into an arbitrary number of laminates grouping adjacent physical plies, and a GUF variable-kinematics model can be employed for each sublaminate independently. Recently, the authors employed the displacement-based SGUF approach in conjunction with a Ritz method previously developed by Dozio and Carrera [22]: mechanical problems involving bending, buckling and free-vibration, including visco-elastic layers, have been addressed [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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The Ritz – Sublaminate Generalized Unified Formulation approach for piezoelectric composite plates

D′Ottavio

Dozio

Vescovini

et al. 2018

International Journal of Smart and Nano Materials

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This paper extends to composite plates including piezoelectric plies the variable kinematics plate modeling approach called Sublaminate Generalized Unified Formulation (SGUF). Two-dimensional plate equations are obtained upon defining a priori the through-thickness distribution of the displacement field and electric potential. According to SGUF, independent approximations can be adopted for the four components of these generalized displacements: an Equivalent Single Layer (ESL) or Layer-Wise (LW) description over an arbitrary group of plies constituting the composite plate (the sublaminate) and the polynomial order employed in each sublaminate. The solution of the two-dimensional equations is sought in weak form by means of a Ritz method. In this work, boundary functions are used in conjunction with the domain approximation expressed by an orthogonal basis spanned by Legendre polynomials. The proposed computational tool is capable to represent electroded surfaces with equipotentiality conditions. Free-vibration problems as well as static problems involving actuator and sensor configurations are addressed. Two case studies are presented, which demonstrate the high accuracy of the proposed Ritz-SGUF approach. A model assessment is proposed for showcasing to which extent the SGUF approach allows a reduction of the number of unknowns with a controlled impact on the accuracy of the result.

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Section: Variable Kinematics Modeling In Sgufmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Ritz – Sublaminate Generalized Unified Formulation approach for piezoelectric composite plates

D′Ottavio

Dozio

Vescovini

et al. 2018

International Journal of Smart and Nano Materials

Self Cite

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“…These two families of models have been gathered into the so-called Carrera's Unified Formulation (CUF) [19] with a displacement-based or Reissner's Mixed Variational Theorem (RMVT) formulation. Then, CUF was extended to deduce the Generalized Unified Formulation (GUF) [20,21] and the Sublaminate Generalized Unified Formulation (SGUF) [22] in which the order of expansion for each displacement/transverse stress component can be chosen independently.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of composite plates based on a variable separation method

Vidal

Gallimard

Polit

2019

Composite Structures

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This work deals with the free vibration analysis of laminated composite plates through a variable separation approach. The displacement field is approximated as a sum of separated functions of the in-plane coordinates x y , and the transverse coordinate z. This choice yields to a non-linear problem that can be solved by an iterative process. That consists of solving a 2D and 1D eigenvalue problem successively. In the thickness direction, a fourth-order expansion in each layer is considered. For the in-plane description, classical Finite Element method is used. A wide range of numerical tests involving several representative laminated and sandwich plates is addressed to show the accuracy of the present LayerWise (LW) method. Different slenderness ratios and boundary conditions are also considered. By comparing with exact or 3D FEM solutions, it is shown that it can provide accurate results less costly than classical LW computations.

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“…By adding a zig-zag function to displacement fields of known theories, Brischetto et al [9] developed higher order theories for bending analysis of sandwich flat panels. A very flexible variable kinematics modeling T technique based on sublaminate Generalized Unified Formulation was proposed by D'Ottavio [10] for the analysis of laminated composite and sandwich structures. Choe et al [11] investigated the post-buckling behavior of sandwich structures.…”

Section: Introductionmentioning

confidence: 99%

A 1D nonlinear finite element model for analysis of composite foam-insulated concrete sandwich panels

Lezgy-Nazargah

Vidal

Polit

2019

Composite Structures

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A Sublaminate Generalized Unified Formulation for the analysis of composite structures

Cited by 71 publications

References 57 publications

The Ritz – Sublaminate Generalized Unified Formulation approach for piezoelectric composite plates

The Ritz – Sublaminate Generalized Unified Formulation approach for piezoelectric composite plates

Free vibration analysis of composite plates based on a variable separation method

A 1D nonlinear finite element model for analysis of composite foam-insulated concrete sandwich panels

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