Simulation and 3D field recovery of composite laminated plates by use ofvariational asymptotic method

Abstract： To effectively simulate and accurately recover the three-dimensional stress/strain/deformation field of composite laminated plates, an asymptotic revise theory and the recovery relationship were established based on the variational asymptotic method (VAM). The original 3D stress field was expressed by one-dimensional generalized stress and warping function based on decomposition of rotation tensor (DRT) to consider all the deformations, and VAM was used to strictly split the three-dimensional problem into a two-dimensional non-linear analysis of deformation plate (equivalent single-layer plate model) and a one-dimensional linear analysis along the transverse normal direction. Then, the strain energy was asymptotic corrected to second order by taking advantage of the ratio of height to span and the order of two-dimensional strain, and the energy was converted to the form of Reissner formula for practical applications. Based on this theory, a variational asymptotic plate and shell analysis program (VAPAS) was developed. The cylindrical bending example of a 20-layer composite plate shows that the three-dimensional field recovered by this theory agrees better with the exact results than that by the first-order shear deformation theory (FOSDT) and classic laminated theory (CLT).