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Equivalent layer-wise theory for the hygro-thermo-magneto-electro-elastic analysis of laminated curved shells
https://orcid.org/0000-0002-5968-3382
https://orcid.org/0000-0001-8515-6458
https://orcid.org/0000-0001-7153-4307
Highlights Multifield analysis of doubly-curved shell structures Coupling between the mechanical elasticity and the thermo-hygrometric problem. Coupling between the mechanical elasticity and the magneto-electricity problem. Generalized formulation based on the Equivalent Layer Wise approach. Recovery of primary and secondary variables from the 3D multifield balance equations.
Abstract The paper presents a multifield formulation involving five different physical problems under the equilibrium thermodynamic conditions for laminated doubly-curved shell structures. More specifically, the study focuses on the coupling between the mechanical elasticity and the thermo-hygrometric problem, while also considering the magneto-electricity of the solid. The configuration variables are described with a generalized formulation based on the Equivalent Layer Wise (ELW) approach, taking into account higher order polynomial interpolations along the thickness direction. The fundamental relations are derived from the Master Balance principle and solved using the Navier's method. Furthermore, the three-dimensional response of the doubly-curved shell solid in terms of primary and secondary variables is recovered from the two-dimensional solution with a methodology based on the three-dimensional multifield balance equations and the Generalized Differential Quadrature (GDQ) numerical technique. Some examples are then presented in which panels of different curvatures and lamination schemes are investigated. The results are compared with success to those coming from three-dimensional numerical models developed with a commercial software. It is shown that the present analytical solution is a valid tool for modelling multifield problems for the evaluation of the response of doubly-curved shells under generalized external actions and pre-determined values of the configuration variables.
Equivalent layer-wise theory for the hygro-thermo-magneto-electro-elastic analysis of laminated curved shells
https://orcid.org/0000-0002-5968-3382
https://orcid.org/0000-0001-8515-6458
https://orcid.org/0000-0001-7153-4307
Highlights Multifield analysis of doubly-curved shell structures Coupling between the mechanical elasticity and the thermo-hygrometric problem. Coupling between the mechanical elasticity and the magneto-electricity problem. Generalized formulation based on the Equivalent Layer Wise approach. Recovery of primary and secondary variables from the 3D multifield balance equations.
Abstract The paper presents a multifield formulation involving five different physical problems under the equilibrium thermodynamic conditions for laminated doubly-curved shell structures. More specifically, the study focuses on the coupling between the mechanical elasticity and the thermo-hygrometric problem, while also considering the magneto-electricity of the solid. The configuration variables are described with a generalized formulation based on the Equivalent Layer Wise (ELW) approach, taking into account higher order polynomial interpolations along the thickness direction. The fundamental relations are derived from the Master Balance principle and solved using the Navier's method. Furthermore, the three-dimensional response of the doubly-curved shell solid in terms of primary and secondary variables is recovered from the two-dimensional solution with a methodology based on the three-dimensional multifield balance equations and the Generalized Differential Quadrature (GDQ) numerical technique. Some examples are then presented in which panels of different curvatures and lamination schemes are investigated. The results are compared with success to those coming from three-dimensional numerical models developed with a commercial software. It is shown that the present analytical solution is a valid tool for modelling multifield problems for the evaluation of the response of doubly-curved shells under generalized external actions and pre-determined values of the configuration variables.
Equivalent layer-wise theory for the hygro-thermo-magneto-electro-elastic analysis of laminated curved shells
https://orcid.org/0000-0002-5968-3382
https://orcid.org/0000-0001-8515-6458
https://orcid.org/0000-0001-7153-4307
Highlights Multifield analysis of doubly-curved shell structures Coupling between the mechanical elasticity and the thermo-hygrometric problem. Coupling between the mechanical elasticity and the magneto-electricity problem. Generalized formulation based on the Equivalent Layer Wise approach. Recovery of primary and secondary variables from the 3D multifield balance equations.
Abstract The paper presents a multifield formulation involving five different physical problems under the equilibrium thermodynamic conditions for laminated doubly-curved shell structures. More specifically, the study focuses on the coupling between the mechanical elasticity and the thermo-hygrometric problem, while also considering the magneto-electricity of the solid. The configuration variables are described with a generalized formulation based on the Equivalent Layer Wise (ELW) approach, taking into account higher order polynomial interpolations along the thickness direction. The fundamental relations are derived from the Master Balance principle and solved using the Navier's method. Furthermore, the three-dimensional response of the doubly-curved shell solid in terms of primary and secondary variables is recovered from the two-dimensional solution with a methodology based on the three-dimensional multifield balance equations and the Generalized Differential Quadrature (GDQ) numerical technique. Some examples are then presented in which panels of different curvatures and lamination schemes are investigated. The results are compared with success to those coming from three-dimensional numerical models developed with a commercial software. It is shown that the present analytical solution is a valid tool for modelling multifield problems for the evaluation of the response of doubly-curved shells under generalized external actions and pre-determined values of the configuration variables.
Equivalent layer-wise theory for the hygro-thermo-magneto-electro-elastic analysis of laminated curved shells
Tornabene, Francesco (author) / Viscoti, Matteo (author) / Dimitri, Rossana (author)
Thin-Walled Structures ; 198
2024-02-25
Article (Journal)
Electronic Resource
English
| Elsevier | 2024
Coupled hygro-thermo-viscoelastic fracture theory
| British Library Online Contents | 2007