The paper proposes an exact three-dimensional shell model for the static analysis of simply supported sandwich and composite plates and shells subjected to transverse shear loads. The work is an extension of the free vibration analysis already conducted in past author’s papers. The equilibrium equations are written in general orthogonal curvilinear coordinates valid for spherical and cylindrical shell panels, cylinders and plates. Such equations are exactly solved using harmonic loads. The exponential matrix method is employed to solve the system of partial differential equations in analogy with the work by Messina for the case of rectilinear orthogonal coordinates and that by Soldatos and Ye for the case of cylindrical coordinates. The method here applied is similar to that seen in Fan and Zhang where both displacements and transverse stresses are primary variables of the model. The proposed 3D shell model uses a layerwise approach in order to better describe the zigzag effect of multilayered structures and to easily impose the equilibrium and compatibility conditions for transverse stresses and displacements.

Three-dimensional stress states of composite and sandwich plates and shells due to transverse shear loads / Brischetto, Salvatore. - (2017). (Intervento presentato al convegno ICCE-25, 25th Annual International Conference on Composites or Nano Engineering tenutosi a Rome (Italy) nel July 16-22, 2017).

### Three-dimensional stress states of composite and sandwich plates and shells due to transverse shear loads

#### Abstract

The paper proposes an exact three-dimensional shell model for the static analysis of simply supported sandwich and composite plates and shells subjected to transverse shear loads. The work is an extension of the free vibration analysis already conducted in past author’s papers. The equilibrium equations are written in general orthogonal curvilinear coordinates valid for spherical and cylindrical shell panels, cylinders and plates. Such equations are exactly solved using harmonic loads. The exponential matrix method is employed to solve the system of partial differential equations in analogy with the work by Messina for the case of rectilinear orthogonal coordinates and that by Soldatos and Ye for the case of cylindrical coordinates. The method here applied is similar to that seen in Fan and Zhang where both displacements and transverse stresses are primary variables of the model. The proposed 3D shell model uses a layerwise approach in order to better describe the zigzag effect of multilayered structures and to easily impose the equilibrium and compatibility conditions for transverse stresses and displacements.
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2017
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11583/2676695`