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首页> 外文期刊>Revue de Metallurgie: Cahiers d'Informations Techniques >Study of the mechanical behaviour of zirconium 702(alpha) in correlation with the texture determined by X ray diffraction
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Study of the mechanical behaviour of zirconium 702(alpha) in correlation with the texture determined by X ray diffraction

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Three initial textures of zirconium 702(alpha) samples with an average grain size of 15-20 (mu)m are analyzed in the present study The phenomenological relation 1 is proposed for the description of the true stress strain curves (sigma, epsilon) obtained after the deformation in a channel die compression device. Recovery phenomena generated by dislocation glide and/or twinning can be taken into account. The following initial geometry is chosen for the parallelepiped samples h_o = 8.6 mm, L_o = 11.0 mm and I_o =6.0 mm, where h_o, L_o and I_o are respectively the initial height, length and width of the samples.sigma=sigma_o + sigma_(pl)1-exp(-n(epsilon))~2W+sigma_(sat)1-Wwith: 1W=exp(-r(epsilon)~S)sigma is defined by Fh/L_oI_oh_o and epsilon = In(h_o/h), where F is the applied strength and h the current height. It is possible to define a constitutive law by introducing, as a first step, the Von Mises stress sigma-bar = (3/2)~2 sigma and the generalized deformation epsilon-bar = (2/3~2)epsilon. In relation 1, sigma_o, sigma_(pl), sigma_(sat), n, r and s are parameters which depend on the initial texture of the analyzed sample, more precisely sigma_o is a reference stress, sigma_(pl)1 - exp(-n(epsilon))~2 a contribution due to plastic deformation in the material, sigma_(sat) a saturating stress value and n, r, s real constants. The W term can be interpreted in the model as the volume fraction of the material associated with plastic deformation and (1-W) as the complementary fraction associated with the saturating stress sigma_(sat). In the work, calculations are carried out with an identification code. For a set of experimental points formally represented by a p components vector M~(exp) and a set of calculated points noted M~(cal) (p components vector associated with M~(exp) and determined from the model), the relative error E_r between the calculated values and the experimental ones is defined by:E_r=(sum from i=1 to p of M_i~(exp)-M_i~(cal)~2)/(sum from i=1 to p of M_i~(exp)~2)The sum is performed over the experimental points. This term is calculated here for each texture. The results of the calculations are presented in table I and figures 2, 3, 4. At the beginning of the deformation W = 1 and remains lower than this value during the plastic deformation. The evolution of W with the plastic strain shows characteristic variations in the samples. The analysis of the parameters of the phenomenological relation 1, based on a mixture law for the description of the mechanical behaviour of zirconium 702~ deformed in channel die compression, gives a satisfying correlation between the experimental stress strain curves and the theoretical ones. The interpretation of the W term, which appears in the proposed relation, is consistent with the activation of plastic deformation modes such as prismatic glide and {101-bar2} twinning, particularly for the TD texture.

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