A multiscale finite element failure model for analysis of thin heterogeneous plates

Abstract

The present research aims to propose a new methodology for the failure analysis of heterogeneous thin plates. The problem is solved under the framework of hierarchial multiscale analysis. It is assumed that plates are composed of periodic microstructure and the repeating unit is selected as representative volume element (RVE) or unit cell for microscopic problems. In-plane plates displacements and transverse deflection of the plate are resolved into macroscopic and periodic microscopic displacement components using two scale asymptotic analysis. Damage is introduced as a single internal variable, following the concepts of continuum damage mechanics (CDM). Transformation field analysis (TFA) is used to separate elastic and in-elastic strain components. Elastic influence function (EIF) and damage influence function (DIF) are obtained by solving corresponding microscale problems, which completes the description of asymptotic macroscopic displacement field. 3-point bending test, uniaxial tensile test and analysis of impact due to high velocity projectile are carried out using commercial finite element code (Abaqus) in order to verify the proposed approach.