Plasticity–Damage Couplings: From Single Crystal to Polycrystalline Materials by Oana Cazacu & Benoit Revil-Baudard & Nitin Chandola

Author:Oana Cazacu & Benoit Revil-Baudard & Nitin Chandola
Language: eng
Format: epub
ISBN: 9783319929224
Publisher: Springer International Publishing

5.4.3.2 Applications: Tension, Compression, and Torsion of hcp-Ti and Mg AZ31

Orthotropic high-purity -Ti

First, it is presented the application of the quadratic form of the orthotropic yield criterion of Cazacu et al. [14] criterion to the description of the mechanical response of a high-purity -Ti material for which quasi-static mechanical test data have been reported in [37] and were summarized in Sect. 5.4.2. To capture the experimentally observed difference in strain hardening rates between tension–compression loadings, all the material parameters involved in the expression of the Cazacu et al. [14] yield function, namely the anisotropy coefficients as well as the parameter were considered to evolve with the equivalent plastic strain, . The equivalent plastic strain associated with the criterion was calculated using the expression of given by Eq. (5.160) and the work-equivalence principle (see also [23]). The procedure used for the identification of the parameters is that detailed in the preceding section. The numerical values of the parameter and that of the anisotropy coefficients corresponding to initial yielding and four other individual levels of equivalent plastic strains (up to 0.3 strain) determined in this manner are listed in Table 5.7 while the values corresponding to any given intermediate level of plastic strain were obtained by linear interpolation, i.e.,Table 5.7Cazacu et al. [14] yield function coefficients for high-purity -Ti corresponding to the onset of yielding () and several fixed values of the equivalent plastic strain

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