An analytical model for correcting standard tensile test curves of different materials

Abstract

An algorithm of mapping an engineering stress-engineering strain curve of a tensile test to that of the other tensile test with different gage length to diameter, expressed by a closed-form function called tensile test mapping function, is applied to various materials of ESW105, S25C, SUS304 and SWCH10A. Their tensile tests with different ratios of gage length to diameter are mapped to obtain the virtual tensile tests of the standard tensile specimens having the same gage length to diameter of 5. Their tensile tests are simulated using the accurate flow curves obtained using the combined elastoplastic FEM and tensile test method to validate the tensile test mapping function. It is numerically shown that the mapped tensile tests are acceptable. Some improvement schemes are also presented to enhance accuracy.