Large deformation modeling for fiber reinforced composite and particle reinforced metal matrix composite

Abstract

This paper proposes a model that can describe large deformation of fiber reinforced composite and particle reinforced metal matrix composite. The original damage model for fiber reinforced composite to apply to finite element analysis has a limitation that it can be applied only under the plane stress condition as like shell element. In this study, Hashin damage model is expanded to three dimension and it is implemented to be utilized in a commercial code. In this process, an approach that calculates the damage variable incrementally is proposed and the constitutive model is improved using the property of transverse isotropy. The proposed model is verified through single element analyses and multiple element problems are solved for validity. Especially a new constitutive modeling for particle reinforced metal matrix composite is suggested to describe various plastic characteristic and tensile/compressive behaviors in large deformation. Prior to suggesting constitutive equation, internal defects and mechanical behavior in particle reinforced metal matrix composite are investigated through patch tests and SEM images. Based on this analysis, an improved constitutive equation is proposed based on Mori-Tanaka homogenization scheme as a mean-field approach. A general purpose of homogenization method is to calculate an effective properties as like effective tangent modulus, whereas in this study effective stress is calculated from the stress for each phase. In addition, Strength Differential (SD) effect (which the strength is different between tension and compression) and also kinematic hardening behavior (which occurs in case the loading path is changed reversely) are mainly considered. The proposed model is verified through tension and compression tests, and reversal loading test.