Transient dynamic, damping and an elastoplastic analysis of anisotropic laminated composite plates using a refined plate theory.

摘要

A new two dimensional finite element model is presented for the first time to perform the linear transient dynamic, damping and elastic-plastic analysis of anisotropic laminated composite plates. A refined plate theory accounting for shear deformation is considered. The accommodation of variable material properties through thickness is made possible by a discrete layer approach. A quadratic Lagrangian element is used together with selective/reduced integration. Experimental data on specific damping capacity of unidirectional composite beam is used to predict the specific damping capacity of laminated composite plates in various modes of vibration. A viscous damping approximation is then employed to calculate the damped transient response of laminated plates. For an elastic-plastic analysis, plastic yielding is based on the generalized Huber-Mises yield criterion developed by Hill for anisotropic materials. The anisotropic parameters used to define the yield function are updated during the material strain hardening history. Tractable rate-independent elastic-plastic constitutive equations for a lamina and a laminate are developed.;The effect of transverse shear deformation, boundary conditions, anisotropy, fiber orientation and lamination scheme on specific damping capacity and damped transient response are investigated. The present results for damping agree very closely with experimental results available in the literature and can serve as benchmark for future comparison by other investigators. Numerical results for an elastic-plastic response are obtained for both laminated and nonlaminated plates and compared with available solutions. The transverse shear effects on the load deformation characteristics and on the spread of plastic zones are discussed. The elastic-plastic analysis is extended using the HSDT and the accuracy of the obtained solutions is checked with the solutions of an FSDT analysis.