A universal elastic-plastic model correlating load-displacement relation and constitutive parameters for typical testing components

Abstract

Abstract A universal elastic-plastic model (UEM) to describe the nonlinear relation among energy, load, displacement and Hollomon constitutive parameters is proposed for various structural components (SCs) by equivalent energy principle (EEP). The model contains only four parameters related to the effective volume of deformed region and the equivalent strain at energy center. A simple approach to determine these parameters is introduced by five times FEA (finite element analysis) calculations. Then, a systematical verification is conducted with both FEA and some experiments. For pure torsion SC, three bending SCs, two indentation SCs, ring compression SC, compact tension SC and small punch test SC, the universal model predicted elastic-plastic load-displacement curves are excellently consistent with the FEA results. Reversely, it can be applied in predicting the Hollomon parameters of materials when the load-displacement curves are known from FEA or experiments.