YIELD STRESS BASED ON NATURAL STRAIN THEORY UNDER CYCLIC TENSION-COMPRESSION LOAD AFTER LARGE SIMPLE SHEAR

Author(s):  
Yasuyuki Kato ◽  
Hiroki Uchida

Many researches on the yield behavior under cyclic loads have been conducted for many years. However, almost these studies have been done within the range of relatively small size deformation. Hence, the detailed studies for yield phenomenon under cyclic loads after applying a large pre-deformation have not been sufficiently elucidated. Therefore, in the series of our studies, using test pieces of high purity tough pitch copper, the yield behavior generated under cyclic loads after applying the predeformation of large uniaxial tension or large simple shear have been investigated. However, as for the case that the type of pre-deformation differs from the type of deformation in the cyclic load, detailed studies have not been conducted yet. Hence, in the present study, the yield behavior generated under cyclic loads for tension and compression after applying a large pre-deformation of simple shear is examined based on Natural Strain theory. Furthermore, experimental results in the present study are compared with results of previous studies concerning cyclic loads for tension and compression after applying the large uniaxial tension. Consequently, it is revealed that the decreasing tendency of yield stress at the compression side appears more strongly as compared with the experimental result by previous study that the pre-deformity is a uniaxial tension.

Author(s):  
Yasuyuki Kato

The purpose of this study is to investigate the yield behavior under a large deformation based on the Natural Strain theory. In this study, using the test pieces made from high purity tough pitch copper, the experiments for cyclic loading of tension and compression are carried out after applying the large uniaxial tension. As a method for determining the yield stress in each cycle, the slope of the tangent at yielding in the deviatoric stress-deviatoric strain curve is used instead of the conventional proof stress. In order to reveal the change of yield stress in cyclic loads after applying large pre-deformations, the experiments are conducted with the different sizes of pre-deformation and the different strain amplitudes. Moreover, the yield behavior under cyclic loads is revealed by comparing with the results from conventional proof stress.


Author(s):  
Yasuyuki Kato

This paper describes the variation of yield stress under cyclic loads after applying large pre-deformation. In this research, the Natural Strain is used as a strain representation for describing an elastoplastic behavior under large deformation. Using test pieces which is already given a pre-deformation of large simple shear, the yield stress under cyclic shear loads in the forward direction and the reverse direction is examined. As for the method for estimating yield stress in each cycle, the slope of a tangent in the principal deviatoric stress and the principal deviatoric strain curve is adopted. The experiments are conducted with the different sizes of pre-deformation and strain amplitude in order to reveal the effect of pre-deformation on the yield phenomenon. Then, these experimental results are compared with the results of yield stress in the previous study, which is obtained under cyclic load for tension and compression after applying the large uniaxial tension.


Author(s):  
Yasuyuki Kato

In the present paper, the anisotropy of yield surface generated under large deformation is investigated on the basis of the Natural Strain theory, which can be treated systematically from the infinitesimal deformation to the large deformation. After applying the pre-deformation of uniaxial tension, simple shear and combined load of them to the test pieces, proportional loading tests are carried out again with changing the ratio of tension and torsion. Then, the shape of yield surface is investigated by estimating the yield stress in an arbitrary direction in the stress space. As the method for determining the yield stress, the slope of the tangent at yielding in the deviatoric stress-deviatoric strain curve is used. In order to reveal the influence of deformation history on the development of anisotropy in yield surface, the pre-deformation that the deformation history is different from previous study, namely, the pre-deformation of shear after uniaxial tension, is examined in this study. Then, the relation between the development of anisotropy in the yield surface and the deformation history of pre-deformation is revealed by comparing with the results of previous study.


2003 ◽  
Vol 19 (1) ◽  
pp. 1-22 ◽  
Author(s):  
A.B. Lopes ◽  
F. Barlat ◽  
J.J. Gracio ◽  
J.F. Ferreira Duarte ◽  
E.F. Rauch

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