A displacement-based finite element for the analysis of laminated composite beams is formulated using strain gradient notation. The definition of the beam’s longitudinal displacement possesses only the independent term (axial displacement) and a term which is linear in the thickness coordinate z. Thus, the finite element is first-order shear deformable. As strain gradient notation is physically...

We present a mathematical framework to provide general well-posedness and approximation results for a laminated curved beam. The layered beam consists of an elastic core layer, symmentric viscoelastic damping layers, symmetric constraining layers and bonded piezoceramic patch pairs on the outer surfaces. The model includes unbounded inputs from the piezoceramic patches, hysteresis and shear in ...

A finite element model based on the layerwise theory is developed for the analysis of transverse cracking in cross-ply laminated beams. The numerical model is developed using the layerwise theory of Reddy, and the von Kármán type nonlinear strain field is adopted to accommodate the moderately large rotations of the beam. The finite element beam model is verified by comparing the present numeric...

The paper presents a finite element formulation for analysis of 3D framed structures with thin-walled laminated composite cross-sections, using co-rotational approach. considers the effects large displacements on response space frames subjected to conservative and static external loads. Classical lamination theory thin fiber-reinforced laminates has been employed. Stability is performed in load...

In this work, we consider a one-dimensional laminated beam in the case of non-equal wave speeds with only one infinite memory on the effective rotation angle. In this case, we establish the general decay result for the energy of solution without any kind of internal or boundary control. The main result is obtained by applying the method used in Guesmia et al. (Electron. J. Differential Equation...

The Layerwise Shell Theory is used to model discretely stiffened laminated composite plates and cylindrical shells for stress, vibration, pre-buckling and post-buckling analyses. The layerwise theory reduces a 3-D problem to a 2-D problem by expanding the 3-D displacement field as a function of a surface-wise 2-D displacement field and a 1-D interpolation polynomial through the shell thickness....

In previous work (Z. Angew. Math. Phys. 68(2), 2017), Apalara considered a onedimensional thermoelastic laminated beam under Cattaneo’s law of heat conduction and proved the exponential and polynomial decay results depend on the stability number χτ . In this paper, we continue to study the same system and show that the solution of the concerned system lacks of exponential decay result in the ca...

Distributed segmented piezo-electric actuators bonded to an elastic substructure and embedded inside a laminated composite material are modeled. Static mechanical models for various actuator geometries exciting both extension and flexure in the substructural material are developed. The flexural static models for both surface bonded and embedded cases are then integrated into a simple dynamic mo...