Transactions of the Indian Institute of Metals

, Volume 72, Issue 1, pp 133–141 | Cite as

A Theoretical Model for Predicting Uniaxial Stress–Strain Relations of Ductile Materials by Small Disk Experiments Based on Equivalent Energy Method

  • Yunqiang Peng
  • Lixun CaiEmail author
  • Hui ChenEmail author
  • Chen Bao
Technical Paper


In this study, a constitutive relation parameters (CRP) model for mini-Brazilian disk (MBD) experiment and small punch testing (SPT) experiment have been put forward according to equivalent energy method, which can be expediently used to determine the uniaxial stress–strain relationships of ductile materials by small disks. Moreover, the ultimate tensile stress of ductile materials can be determined via a classical derivation. In order to verify the CRP model, lots of finite element analyses were carried out by ANSYS 14.5 based on the imaginary power-law stress–strain relations generating different elasticity modulus, yield stress and strain hardening exponent, and the results indicate that the stress–strain relations determined from MBD and SPT experiments by CRP model are in excellent agreement with the relations with inputs from FEA. Further, two kinds of experiments on P92 and DP600 were conducted, respectively, and the stress–strain relationships and the corresponding ultimate stress determined by CRP model were in accord with the standard tension results.


Equivalent energy method Stress–strain relationship Theoretical model Testing method Ultimate stress 



This work is supported by the National Natural Science Foundation of China (Grant No. is 11472228).


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Copyright information

© The Indian Institute of Metals - IIM 2018

Authors and Affiliations

  1. 1.Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and EngineeringSouthwest Jiao Tong UniversityChengduChina

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