Exact solution of thermo-mechanical analysis of laminated composite and sandwich doubly-curved shell

Monge, J.C.; Mantari, J.L.

doi:10.1016/j.compstruct.2020.112323

Composite Structures

2020

DOI: 10.1016/j.compstruct.2020.112323

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Exact solution of thermo-mechanical analysis of laminated composite and sandwich doubly-curved shell

J.C. Monge

J.L. Mantari

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Cited by 20 publications

(1 citation statement)

References 21 publications

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“…Brischetto et al [21,22] developed a 3D uncoupled thermo-elastic model for composite and functionally graded shells and plates having the temperature evaluation defined via the three-dimensional Fourier heat conduction relation. Monge et al [23] proposed a 3D semi-analytical thermo-mechanical model where the Differential Quadrature Method (DQM) was employed for the derivatives in the thickness direction analogous to the 3D pure elastic shell theory in [24] and [25]. In [26], a 3D theory of elasticity was proposed for functionally graded and carbon nanotube reinforced composite rectangular plates having simply supported sides and thermo-mechanical loads imposed at the external surfaces.…”

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confidence: 99%

Three Dimensional Coupling between Elastic and Thermal Fields in the Static Analysis of Multilayered Composite Shells

Brischetto¹,

Torre²,

Cesare³

2023

Computer Modeling in Engineering &Amp; Sciences

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This new work aims to develop a full coupled thermomechanical method including both the temperature profile and displacements as primary unknowns of the model. This generic full coupled 3D exact shell model permits the thermal stress investigation of laminated isotropic, composite and sandwich structures. Cylindrical and spherical panels, cylinders and plates are analyzed in orthogonal mixed curved reference coordinates. The 3D equilibrium relations and the 3D Fourier heat conduction equation for spherical shells are coupled and they trivially can be simplified in those for plates and cylindrical panels. The exponential matrix methodology is used to find the solutions of a full coupled model based on coupled differential relations with respect to the thickness coordinate. The analytical solution is based on theories of simply supported edges and harmonic relations for displacement components and sovra-temperature. The sovra-temperature magnitudes are directly applied at the outer faces through static state hypotheses. As a consequence, the sovra-temperature description is assumed to be an unknown variable of the model and it is calculated in the same way as the three displacements. The final system is based on a set of coupled homogeneous differential relations of second order in the thickness coordinate. This system is reduced in a first order differential relation system by redoubling the number of unknowns. Therefore, the exponential matrix methodology is applied to calculate the solution. The temperature field effects are evaluated in the static investigation of shells and plates in terms of displacement and stress components. After an appropriate preliminary validation, new benchmarks are discussed for several thickness ratios, geometrical data, lamination sequences, materials and sovra-temperature values imposed at the outer faces. Results make evident the accordance between the uncoupled thermo-mechanical model and this new full coupled thermo-mechanical model without the need to separately solve the Fourier heat conduction relation. Both effects connected with the thickness layer and the related embedded materials are included in the conducted thermal stress analysis. KEYWORDSThree-dimensional exact thermo-elastic shell model; full coupled thermoelasticity; three-dimensional fourier heat conduction relation; plate and shell geometries; laminated and sandwich configurations IntroductionThe monitoring of temperature gradients in the aerospace structures is one of the main topics in the stress analysis. The study of temperature contribution on strains and stresses is very important

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mentioning

confidence: 99%

Three Dimensional Coupling between Elastic and Thermal Fields in the Static Analysis of Multilayered Composite Shells

Brischetto¹,

Torre²,

Cesare³

2023

Computer Modeling in Engineering &Amp; Sciences

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Thermodynamic response analysis of functionally graded doubly-curved panels with varying circumferential size using meshfree method

Li,

Wang,

Zhong

et al. 2023

Acta Mech

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Thermal buckling and free vibration of viscoelastic functionally graded sandwich shells with tunable auxetic honeycomb core

Liu

2022

Applied Mathematical Modelling

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Exact solution of thermo-mechanical analysis of laminated composite and sandwich doubly-curved shell

Cited by 20 publications

References 21 publications

Three Dimensional Coupling between Elastic and Thermal Fields in the Static Analysis of Multilayered Composite Shells

Three Dimensional Coupling between Elastic and Thermal Fields in the Static Analysis of Multilayered Composite Shells

Thermodynamic response analysis of functionally graded doubly-curved panels with varying circumferential size using meshfree method

Thermal buckling and free vibration of viscoelastic functionally graded sandwich shells with tunable auxetic honeycomb core

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