A New Technique based on Strain Energy for Correction of Stress-strain Curve

Tensile stress-strain curve is of high importance in mechanics of materials particularly in numericalsimulations of material deformations. The curve is usually obtained by experiment, but is limited bythe necking phenomenon. Engineering stress-strain curve is converted to true stress-strain curvethrough simple formulas. The conversion, however, is correct up the point of necking. From this pointon, the curve should be corrected taking account of stress triaxiality. Over the past several decades, anumber of methods such as Bridgeman correction technique have been proposed. In this investigation anew technique based on strain energy in introduced. Strain energy is assumed to be equal to theexternal work in tensile test. The energy method is compared with different approaches such asBridgeman-Leroy, Bridgeman, Davidenkov, Siebel and optimization aided numerical simulation. Theresults indicate that the energy method prediction is very close to numerical simulation, but at the sametime it does not differ too significantly from the other approaches studied in this investigation

Keywords:

Stress-strain curve , Correction factorStrain energyExternal workNumerical simulation