A coupled hyperelastic-plastic-continuum damage model for studying cyclic behavior of unfilled engineering polymers

Abstract History of accumulated fatigue damage and induced plastic strain are salient design criteria in many structural elements in aerospace, automotive and healthcare industries. A successful fatigue engineering tool should be able to predict the cyclic permanent set as well as the fatigue damage, and lifetime. When an engineering polymer is subjected to cyclic loads, the unloading curves may deviate from the so-called linear unloading response. It is argued that previously developed fatigue computational tools, e.g. Shojaei and Wedgewood (2017) and Shojaei and Volgers (2017), might overpredict the residual plastic strain in real applications. This work aims at accommodating the observed nonlinear unloading curves into the previously developed fatigue modeling framework that significantly improves the predicted permanent deformation. To accomplish this task a hyperelastic material model is coupled with plasticity, and Continuum Damage Mechanics (CDM). The developed hyperelastic-plastic-CDM framework is implemented in Finite Element Analysis (FEA) software, viz. Abaqus, through user-defined material laws for structural analysis. The hyperelastic material model within the small strain framework can effectively capture elastic loading and unloading responses. The enforced coupling between hyperelastic, plastic, and CDM models results in more accurate prediction of the progressive fatigue damage and permanent set in unfilled polymers. The performance of the developed framework is compared with the experimental data and it is shown that the developed framework performs well in capturing progressive permanent set, and fatigue damage in unfilled polymers. The proposed framework may improve the precision of cyclic analysis in unfilled polymers and may help engineers in their design optimization cycles.