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This work presents a new composite beam model based on discrete layer theory. It enables the automatic verification of the continuity of transverse shear stresses by taking into account the Heaviside step function. The transverse shear is represented by a sine function which improves the accuracy of the results on the transverse shear stress. The membrane refinement cosine function improves the warping of the straight section in bending deformations. In order to validate the proposed model, several problems in bending and free vibration are presented. For sandwich composite beams, the proposed new model satisfies exactly and automatically the continuity conditions of displacements and stresses at the interfaces, as well as the boundary conditions. [ABSTRACT FROM PUBLISHER]

Abstract: One of the current problems connected with multi-layer composite structures concerns the analysis of the distribution of the stresses around peculiarities (free edge and loaded edge) and at the interfaces of each layer. This work presents a new shear stress function in the form of the exponential function, to predict the mechanical behaviour of multi-layered laminated composite structures. As a case study, the mechanical behaviour of a laminated composite beam (90°/0°/0°/90°) is examined. The results are compared with the model “Sinus” and 2D finite element method studied. Results show that this new model is more precise than older ones as compared to the results obtained by the finite element analysis [Abaqus]. To introduce continuity on the interfaces of each layer, the kinematics defined by Ossadzow is used with the new exponential model. The equilibrium equations and natural boundary conditions are derived by the principle of virtual power. [Copyright &y& Elsevier]

This work presents a new multi-layer laminated composite structure model to predict the mechanical behaviour of multi-layered laminated composite structures. As a case study, the mechanical behaviour of laminated composite beam (90°/0°/0°/90°) is examined from both a static and dynamic point of view. The results are compared with the model “Sinus” and finite element method studied by Abou Harb. Results show that this new model is more precise than older ones as compared to the results by the finite element method (Abaqus). To introduce continuity on the interfaces of each layer, the kinematics defined by Ossadzow was used. The equilibrium equations and natural boundary conditions are derived by the principle of virtual power. To validate the new proposed model, different cases in bending, buckling and free vibration have been considered. [Copyright &y& Elsevier]