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A CPB06-based Stewart-Cazacu micromechanical damage model is implemented and validated for Ti6Al4V material. It provides accurate numerical predictions in terms of macromechanical material response and damage accumulation. The Stewart & Cazacu–Tvergaard & Needleman–Thomason (SC11–TNT) based damage model presented here is developed and implemented in the finite element software Lagamine following a semi-implicit cutting plane algorithm and a well-chosen flow rule approach. The damage of the material is characterized by the porosity ratio contained within the material. It is modelled by void nucleation, growth and coalescence mechanisms. The onset of the coalescence is established by a criterion based on Thomason's approach. The macroscopic results obtained by the implemented model demonstrate a strong ability to predict the experimental elastoplastic mechanical behaviour of the material across a full deformation range and different types of loadings. At the microscopic level, the predicted accumulated porosity ratio of the material matrix at fracture exhibits a good correlation with the experimental observations. The element deletion feature, activated when a certain damage threshold is reached, provides a physical description of the loss of load-carrying capacity of the material during fracture. [ABSTRACT FROM AUTHOR]

Full range constant strain rate tests are required for accurately characterizing initial yield point, strength differential effect and direct identification of constitutive laws describing the plastic behavior of materials. These tests require the use of a closed-loop control in order to achieve the constant strain rate, however this feature is not available in many laboratories. A method for full range constant strain rate with testing machines that can be configured for user-defined displacements of the cross head prior to testing is presented here. Tests performed at a constant die speed include a variable strain rate response for the specimen involved. Significant deformation rate variation occurs between the elastic and plastic range with consequences for initial yield point identification. To overcome this drawback, appropriate user-defined displacements can be computed and applied, allowing for both tensile and compression tests to be performed at a constant strain rate. The method is validated using a compression test of Ti6Al4V alloy at room temperature, as well as a 3D digital image correlation (DIC) system exhibiting a constant strain rate value equal to 10−3 s−1, for both elastic and plastic ranges. A non-negligible inhomogeneous strain field was measured on the surface of the compression specimen using DIC and was corroborated by numerical modeling. Results identified the source of the non-homogeneous strain field, thereby proposing a quantitative indicator of plastic anisotropy. The initial yield stress and strain hardening rates of the alloy at several temperatures were obtained with both testing method, conventional constant cross-head speed, and the constant strain rate; these were then used to determine the influence of the small strain rate variations on the mechanical response of Ti6Al4V alloy. [ABSTRACT FROM AUTHOR]

The ability of three plasticity models to predict the mechanical behavior of Ti6Al4V until fracture is presented. The first model is the orthotropic yield criterion CPB06 developed by Cazacu et al. (Int J Plast 22:1171–1194, 2006) with a distortional hardening, allowing for the description of material anisotropy and the strength differential effect. The second model is the anisotropic Hill'48 yield criterion with distortional hardening, describing the material anisotropy with quadratic functions but is unable to model the strength differential effect. Finally, the third model is the classical Hill'48 yield locus with isotropic hardening. Distortional hardening is modeled through five yield surfaces associated with five levels of plastic work. Each model is validated by comparing the finite element predictions with experimental results, such as the load and displacement field histories of specimens subjected to different stress triaxiality values. Tensile tests are performed on round bars with a V-notch, a through-hole, and two different radial notches; compression tests are performed on elliptical cross-section samples. The numerical results show that none of the models can perfectly predict both the measured load and the sample shape used for validation. However, the CPB06 yield criterion with distortional hardening minimizes the global error of the model predictions. The results provide a quantification of the influence of mechanical features such as hardening phenomenon, plastic anisotropy, and tension–compression asymmetry. The impact of these features on the prediction of the post-necking deformation behavior of the Ti6Al4V alloy is explored. [ABSTRACT FROM AUTHOR]