Novel rule-based global-local theory and energy model for sandwich plates with compliant cores and unevenly-distributed anisotropic SMA wires under impulsive/impact loads

摘要

A rational new plate theory must meet specific guidelines and cannot be proposed by merely choosing a different function for the transverse variations of the displacement components. In the present research, a novel hyperbolic global-local plate theory is proposed based on 8 criteria, for the first time and implemented in a new energy formulation that takes into account the potential energy of the contact region, for behavior analysis of biaxially preloaded sandwich plates with unevenly-distributed SMA wires and soft cores under impulsive/impact loads. The proposed theory contains both odd and even functions and consequently, is more appropriate for asymmetric lamination schemes; in addition to satisfying the continuity condition of the interlaminar stresses. It is the first time that stress-strain asymmetry and anisotropy of the SMA is incorporated in the impact response analysis. Modified micro-macro-mechanical and bridging models are employed to relate the apparent properties to the local ones and vice versa. Effects of the uniform, double-linear, and double-sinusoidal distributions of the SMA wires are compared. The localized time variations of phases evolutions of the anisotropic SMA wires are predicted based on a particular algorithm, employing an iteration-based updating solution procedure for the resulting finite element formulation within each time step.