A model of composite laminated beam based on the global–local theory and new modified couple-stress theory

In this paper, a model of composite laminated beam based on the global–local theory for new modified couple-stress theory is developed. For the modified couple-stress theory, an anisotropic constitutive relation is suggested. There is only one microlength-scale parameter in each ply of the composite laminated beam. The Reddy beam model of global–local higher-order theory proposed by Chen and Wu (2005) [1], which satisfies free surface conditions and the geometric and stresses continuity conditions at interfaces, and is adopted to formulate this model. On the model of laminated beam of modified couple stress theory, the transverse shear stress with scale effect is presented for the first time. Numerical results show that the proposed beam model can capture the scale effect at interfaces of the microstructure of the composite laminated beam.