Effect of Ti addition on the structural, thermodynamic, and elastic properties of Tix(HfNbTaZr)(1−x)/4Ti_{x}(HfNbTaZr)_{(1-x)/4} alloys

The structure and thermodynamic properties of $Ti_{x}(HfNbTaZr)_{(1-x)/4}$ refractory highly entropy multicomponent alloys have been studied using a comprehensive Monte-Carlo Special Quasi-random Structure (MCSQS) realization of the disordered atomic structure and DFT calculations. We have shown that to model the random structure in a small supercell, it is necessary to study a large space of random configurations with respect to the nearest shells. Mimicking the randomness with the many-body terms does not lead to significant improvements in the formation energy but modeling the random structure with the few nearest neighbor pairs leads to improvements in the formation energy. We have also demonstrated the existence of weak to intermediate SRO for equimolar compositions. Chemical ordering is studied by linking a large number of MCSQS realizations to DFT calculations, and the SRO results are rationalized in terms of the crystallographic structure of the element pairs and binary phase diagrams. The formation energy of $Ti_{x}(HfNbTaZr)_{(1-x)/4}$ alloys remains slightly positive for all $x$ when Ti is added. For $x$ > 0.5, a phase transition in favor of an hcp structure is observed in agreement with the Bo-Md diagram. A dual phase is predicted at $x$ = 0.5. The Ti content in this class of alloys appears to be a practical way to select the phase structure and tailor the structure and elastic properties to specific applications

Analytical integration of the tractions induced by non-singular dislocations on an arbitrary shaped triangular quadratic element

We present fully analytical expressions to evaluate nodal forces induced by the stress field of non-singular dislocations at quadratic surface elements

On the saturation stress of deformed metals

Crystalline materials exhibit an hysteresis behaviour when deformed cyclically. The origins of this tension-compression asymmetry have been fully understood only recently as being caused by an asymmetry in the junction strength and a reduced mean free path of dislocations inherited from previous deformation stage. Here, we investigate the saturation stress in fcc single- and poly-crystals using a Crystal Plasticity framework derived from dislocation dynamics simulations. In the absence of plastic localization and damage mechanism, the single-crystal mechanical response eventually saturates. We show that the cyclic saturation stress converges asymptotically to the monotonic saturation stress as the cycle plastic increment increases, and this convergence can be observed for some experimental conditions. The analysis of the experimental literature suggests that the mechanisms controlling the saturation in single crystals are the same controlling the cyclic response of polycrystals with large grains. We propose also analytical and approximated models to predict the saturation stress over the considered loading conditions. The saturation stress appears as a fundamental property of dislocations, explaining the consistency observed in the experimental literature. This work provides a unified view on the monotonous and cyclic responses of fcc single and poly-crystals, which may help in interpreting experimental data

A Multiscale Investigation of the Physical Origins of Tension–Compression Asymmetry in Crystals and their Implications for Cyclic Behavior

Most of crystalline materials develop an hysteresis on their deformation curve when a mechanical loading is applied in alternating directions. This effect, also known as the Bauschinger effect, is intimately related to the reversibile part of the plastic deformation and controls the materials damage and ultimately their failure. In the present work, we associate mesoscale Dislocation Dynamics simulations and Finite Element simulations to identify two original dislocation mechanisms at the origin of the traction/compression asymmetry and quantify their impacts on the cyclic behaviour of FCC single-crystals. After demonstrating that no long-range internal stresses can be measured in the simulations, careful analysis of the dislocation network show that the Bauschinger effect is caused by an asymmetry in the stability of junctions formed from segments whose curvature is determined by the applied stress, and a significant portion of the stored dislocation segments is easily recovered during the backward motion of dislocations in previously explored regions of the crystal. These mechanisms are incorporated into a modified crystal plasticity framework with few parameters quantified from statistical analysis of Dislocation Dynamics simulations or from the literature. This strategy has a real predictive capability and the macroscale results are in good agreement with most of the experimental literature existing on the Bauschinger and cyclic deformation of FCC single-crystals. This work provides valuable mechanistic insight to assist in the interpretation of experiments and the design of structural components to consolidate their life under cyclic loading

On the Origins of Tension–Compression Asymmetry in Crystals and Implications for Cyclic Behavior

Most of crystalline materials exhibit a hysteresis on their deformation curve when mechanically loaded in alternating directions. This Bauschinger effect is the signature of mechanisms existing at the atomic scale and controlling the materials damage and ultimately their failure. Here, three-dimensional simulations of dislocation dynamics and statistical analyses of the microstructure evolution reveal two original elementary mechanisms. An asymmetry in the dislocation network junctions arising from the stress driven curvatures and the partial reversibility of plastic avalanches give an explanation to the traction-compression asymmetry observed in FCC single-crystals. These mechanisms are then connected in a physically justified way to larger-scale representations using a dislocation density based theory. Parameter-free predictions of the Bauschinger effect and strain hardening during cyclic deformation in different materials and over a range of loading directions and different plastic strain amplitudes are found to be in excellent agreement with experiments. This work brings invaluable mechanistic insights for the interpretation of experiments and for the design of structural components to consolidate their service life under cyclic load

Slip systems interactions in α-iron determined by dislocation dynamics simulations

International audienc

Orowan strengthening and forest hardening superposition examined by dislocation dynamics simulations

International audienc

Modeling crystal plasticity with dislocation dynamcis simulations : the «MICROMEGAS» code.

International audienc

Slip-dominated structural transitions

We use molecular dynamics to show that plastic slip is a crucial component of the transformation mechanism of a square-to-triangular structural transition. The latter is a stylized analog of many other reconstructive phase transitions. To justify our conclusions we use a novel atomistically-informed mesoscopic representation of the field of lattice distortions in molecular dynamics simulations. Our approach reveals a hidden alternating slip distribution behind the seemingly homogeneous product phase which points to the fact that lattice invariant shears play a central role in this class of phase transformations. While the underlying pattern of anti-parallel displacements may also be interpreted as microscopic shuffling, its precise crystallographic nature strongly suggests the plasticity-centered interpretation