Computer simulation of impression creep using the hyperbolic sine stress law

Abstract

Impression creep of materials obeying the Eyring hyperbolic sine constitutive equation is simulated by finite element analysis using the ABAQUS program. It turns out that the impression velocity is also a hyperbolic sine function of the punching stress (the applied load divided by the contact area) and if the punching stress is divided by 3.5 to change to the tension/compression flow stress, the activation shear strain volume calculated from the impression test is the same as that obtained from the tension test. For the same punching stress, the impression velocity is proportional to the punch radius, which is also found in the computer simulation using the power law constitutive equation and by dimensional analysis for both constitutive equations. The present results support the analysis of experimental data of SnPb eutectic alloys reported previously.