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Article Dans Une Revue Journal of Materials Processing Technology Année : 2003

Determination of the equivalent stress–equivalent strain relationship of a copper sample under tensile loading

Résumé

Abstract In this paper, a new method is used to determine the true stress–true strain curve. As this method still makes use of a tensile test, the results are compared with the results obtained with an extensometer on a copper sample for which the strain between the grips is supposed to be homogeneous. In the present case, the deformation is determined using a correlation method applied to successive images of one randomly painted sample face. The calculated strain field brings into evidence an increasing heterogeneity at high deformations. Taking this heterogeneity into account allows a more precise computation of the equivalent stress–equivalent strain curve which is used in a finite element simulation of the tensile test. Comparing the results of the simulation with those of image analysis, it appears that a corrected equivalent stress–equivalent strain relationship is sufficient to obtain a correct behaviour up to necking. The simulation also shows that the necking in the material is obtained when a necking criterion (Considère's criterion) is verified. It indicates that in this case only the datum of the σeq=f(eq) relationship is sufficient to obtain the whole behaviour of the material.

Dates et versions

hal-00258215 , version 1 (21-02-2008)

Identifiants

Citer

Stéphane Dumoulin, Laurent Tabourot, Christine Chappuis, Pierre Vacher, Robert Arrieux. Determination of the equivalent stress–equivalent strain relationship of a copper sample under tensile loading. Journal of Materials Processing Technology, 2003, 133 (1-2), pp.79-83. ⟨10.1016/S0924-0136(02)00247-9⟩. ⟨hal-00258215⟩
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