International Journal for Multiscale Computational Engineering

TWO-SCALE AND THREE-SCALE COMPUTATIONAL CONTINUA MODELS OF COMPOSITE CURVED BEAMS

要約

The two-scale and three-scale computational continua models of composite curved beams are described. For the coarse-scale problems, the four-node isoparametric beam elements based on the Third order Shear Deformation Theory is employed to discretize the composite curved beams. The effect of shear deformation and rotational inertia can be accounted for due to the nonlinear shear strain variation throughout the beam thickness. Since the size of Computational Unit Cell is comparable to the size of the coarse-scale element, the nonlocal quadrature scheme is employed to replace the classical Gauss quadrature. For the coarse-scale beam elements, the cubic interpolation is employed for both tangential and normal displacements. The proposed two-scale and three-scale computational continua models are verified for the laminated, quasi isotropic, and woven composite curved beams against the O(1) homogenization method and Direct Numerical Simulations.