Bending, buckling and free vibration of laminated composite with a transverse shear stress continuity model

• Published in: Composites. Part B, Engineering Vol. 29; no. 3; pp. 223 - 234
• Main Authors: Karama, M., Abou Harb, B., Mistou, S., Caperaa, S.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 1998; Elsevier
• Subjects: A. laminates; Applied sciences; B. vibration; bending; C. buckling; Exact sciences and technology; Forms of application and semi-finished materials; Laminates; Polymer industry, paints, wood; Technology of polymers; bending; A. laminates; C. buckling; B. vibration; Laminate; Free vibration; Fiber reinforced material; Epoxy resin; Theoretical study; Mechanical properties; Bending stress; Modeling; Composite material; Boron fiber; Shear stress; Numerical simulation; Buckling
• ISSN: 1359-8368; 1879-1069
• DOI: 10.1016/S1359-8368(97)00024-3

This work presents a new laminated composite beam model based on discrete layer theory, the model is applied in statics and in dynamics on thin and thick beams. It allows one to satisfy automatically the continuity of transverse shear stresses by taking into account the Heaviside step function. The transverse shear is represented by a sine function (Touratier). This model introduces membrane refinement through a cosine function (Ossadzow, Muller and Touratier) contrary to the different models existing in the bibliography. The motion equations and the natural boundary conditions result from the virtual power principal. In order to validate the proposed model, several problems in bending, buckling and free vibration are presented.