›› 2010, Vol. 31 ›› Issue (12): 3789-3792.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Slope identity of elastoplastic stress-strain curve and its verification and application

BAI Bing1, LI Xiao-chun1, SHI Lu1, TANG Li-zhong2   

  1. 1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China; 2. School of Resources and Safety Engineering, Central South University, Changsha 410083, China
  • Received:2009-11-27 Online:2010-12-10 Published:2010-12-21

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Abstract:

The slopes of loading, unloading curves of stress-strain relation and the slope of the corresponding elastic strain-plastic strain curve(e-p curve) are critical constitutive parameters. They play important role in elasto-plasticity, damage theories and the analysis of elastic and plastic deformations. The three slopes are mutually related. Here, a difference-type and a differential-type identities of the three parameters are respectively derived theoretically and verified later with the test data of a coal sample. The results show that these two identities are both correct. Then an application of the slope identity to studying the relation between the elastic and plastic strains presented by Li You is given. It is found that the “translation relation” of e-p curve in - space is equivalent to an equality of two slopes ratios.

Key words: slope identity, stress-strain relation, elastopastic deformations

CLC Number: 

  • O 344.2
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