3D hygro-elastic shell model for the analysis of composite and sandwich structures

Brischetto, Salvatore; Torre, Roberto

doi:10.1016/j.compstruct.2021.115162

Cited by 10 publications

(16 citation statements)

References 51 publications

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“…The first part of this section proposes two validation results used to certify the correctness of the developed general 3D exact coupled hygro-elastic shell model. Comparisons with [21] are presented to define the proper order of expansion N for the exponential matrix in Equation ( 31) and the appropriate number of fictitious layers F for the computation of the constant curvature terms of the shell. After these two validation cases, four new benchmarks are proposed.…”

Section: Resultsmentioning

confidence: 99%

“…Thanks to the orthogonal mixed curvilinear reference system, the formulation is valid for plates, cylinders, and cylindrical panels by assuming proper values for the two radii of curvature R α and R β . Equation ( 16) is the 3D Fick diffusion equation under steady-state conditions specifically written for spherical shells and already presented by Brischetto and Torre in [21]. In this fully coupled hygro-elastic problem, the 3D Fick diffusion relation is directly coupled with the 3D equilibrium equations.…”

Section: Three-dimensional Coupled Hygro-elastic Governing Equationsmentioning

confidence: 99%

“…The 3D fully coupled hygro-elastic exact model considers plate and shell structures via a general formulation for different geometries. The innovative feature with respect to the similar 3D model proposed by Brischetto and Torre in [21] is the full coupling between the elastic and moisture fields. Therefore, the primary variables of the formulation are the three displacement components u, v, and w and the scalar moisture content M. The appropriate constitutive and geometrical equations will be introduced in 3D equilibrium equations and 3D Fick moisture diffusion relation for the spherical shells.…”

Section: Geometrical and Constitutive Equations For Hygro-elastic Pro...mentioning

confidence: 99%

“…The sandwich plate contained fiber-reinforced and magnetostrictive layers and a core made of a viscoelastic material. Brischetto and Torre showed in [21] the stress analysis of single-layered and multilayered composite and sandwich plates and shells under steady state moisture conditions. This 3D solution was based on an exact layer-wise approach where the formulation was unique for different geometries.…”

Section: Introductionmentioning

confidence: 99%

“…They can be used as benchmarks for the development and testing of new 3D, 2D, and 1D numerical models for the hygro-elastic stress analysis of composite and sandwich structures. The main novelty with respect to the 3D uncoupled hygro-elastic shell model proposed in [21,22] is the full coupling between the displacement field and the hygroscopic field. Therefore, the moisture content profile is now directly obtained from the system solution and not "a priori" separately calculated.…”

Section: Introductionmentioning

confidence: 99%

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Hygro-Elastic Coupling in a 3D Exact Shell Model for Bending Analysis of Layered Composite Structures

Brischetto

Cesare

2023

J. Compos. Sci.

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In this work, a 3D fully coupled hygro-elastic model is proposed. The moisture content profile is a primary variable of the model’s displacements. This generic fully coupled 3D exact shell model allows the investigations into the consequences arising from moisture content and elastic fields in terms of stresses and deformations on different plate and shell configurations embedded in composite and laminated layers. Cylinders, plates, cylindrical and spherical shells are analyzed in the orthogonal mixed curvilinear reference system. The 3D equilibrium equations and the 3D Fick diffusion equation for spherical shells are fully coupled in a dedicated system. The main advantage of the orthogonal mixed curvilinear coordinates is related to the degeneration of the equations for spherical shells to simpler geometries thanks to basic considerations of the radii of curvature. The exponential matrix method is used to solve this fully coupled model based on partial differential equations in the thickness direction. The closed-form solution is related to simply supported sides and harmonic forms for displacements and the moisture content. The moisture content amplitudes are directly applied at the top and bottom outer faces through steady-state hypotheses. The final system is based on a set of coupled homogeneous second-order differential equations. A first-order differential equation system is obtained by redoubling the number of variables. The moisture field implications are evaluated for the static analysis of the plates and shells in terms of displacement and stress components. After preliminary validations, new benchmarks are proposed for several thickness ratios, geometrical and material data, lamination sequences and moisture values imposed at the external surfaces. In the proposed results, there is clearly accordance between the uncoupled hygro-elastic model (where the 3D Fick diffusion law is separately solved) and this new fully coupled hygro-elastic model: the differences between the investigated variables (displacements, moisture contents, stresses and strains) are always less than 0.3%. The main advantages of the 3D coupled hygro-elastic model are a more compact mathematical formulation and lower computational costs. Both effects connected with the thickness layer and the embedded materials are included in the conducted hygro-elastic analyses.

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Section: Resultsmentioning

confidence: 99%

Section: Three-dimensional Coupled Hygro-elastic Governing Equationsmentioning

confidence: 99%

Section: Geometrical and Constitutive Equations For Hygro-elastic Pro...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Hygro-Elastic Coupling in a 3D Exact Shell Model for Bending Analysis of Layered Composite Structures

Brischetto

Cesare

2023

J. Compos. Sci.

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Computerized Simulation of a Nonlinear Vibration Sandwich Plate Structure with Porous Functionally Graded Materials Core

Alhous,

Al-Waily,

Jweeg

et al. 2023

Communications in Computer and Information Science

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New quasi-three-, and two-dimensional trigonometric-cubic monomial HSDT for thermal buckling and thermo-mechanical bending analyses of FGM symmetrical/non-symmetrical sandwich plates with hard/soft core

Belkhodja

Fekirini

et al. 2023

Composite Structures

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3D hygro-elastic shell model for the analysis of composite and sandwich structures

Cited by 10 publications

References 51 publications

Hygro-Elastic Coupling in a 3D Exact Shell Model for Bending Analysis of Layered Composite Structures

Hygro-Elastic Coupling in a 3D Exact Shell Model for Bending Analysis of Layered Composite Structures

Computerized Simulation of a Nonlinear Vibration Sandwich Plate Structure with Porous Functionally Graded Materials Core

New quasi-three-, and two-dimensional trigonometric-cubic monomial HSDT for thermal buckling and thermo-mechanical bending analyses of FGM symmetrical/non-symmetrical sandwich plates with hard/soft core

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