Representative volume element (RVE) based crystal plasticity study of void growth on phase boundary in titanium alloys

Abstract

Crystal plasticity based finite element method (CPFEM) studies have been successfully used to model different material behaviour and phenomenon, including but not limited to; fatigue, creep and texture evolution. This capability can be extended to include the ductile damage and failure in the model. Ductile failure in metals is governed by void nucleation, growth, and coalescence. High strength titanium alloys can be formed from sheets and components and are prone to ductile failure. α-β Titanium alloys are in widespread use, ranging from aerospace, automotive, energy to oil and gas. They have multiple phases present in the microstructure but α and β phases are dominant and are present in various morphologies. This study focuses on the 3D representative volume element (RVE) simulations of spherical void of known initial porosity at the interface of α and β phase single crystals. The effect of initial porosity, applied triaxiality and orientation of RVE with respect to the loading direction is investigated. Slip based crystal plasticity formulation implemented as a user subroutine in commercially available software was used to simulate the void growth and the results of the same are presented. Lastly, a generalised correlation among loading type, loading direction, crystal orientation, phase interface orientation, and void growth is presented.

Modelling Hydrogen Induced Stress Corrosion Cracking in Austenitic Stainless Steel

“…The porous crystal plasticity model and the relationship between void growth, strain, stress triaxiality, initial void size and crystal orientation have been discussed by other authors [32,33,34] so only a summary is given here. Void fraction evolution is defined as follows;…”

Influence of Pore Characteristics on Anisotropic Mechanical Behavior of Laser Powder Bed Fusion–Manufactured Metal by Micromechanical Modeling

“…[18] In the literature, CP models are often extended to include the effects of pore growth and coalescence. [19][20][21] In the works of Asim et al, [22,23] they have investigated the void growth in a dual-phase Ti alloy at the interface of dissimilar α-β crystals. Chen et al [24] have analyzed the void growth on grain boundaries in Ni-based superalloys.…”

Data-driven finite element method: Theory and applications

“…Note that equations (3) and (4) eliminate the traditional material modelling step which requires material constitutive law, σtrue¯e=σ^e(ɛtrue¯e,ɛ·true¯e,σfe,tde,αtrue¯or). Such constitutive models comprise of a large number of unknown material parameters which are required to be identified through tedious inverse modelling (for details see literature 28,35,51–53 and references therein) and is eliminated through DDFEM framework.…”

“…Some of these challenges include, formulation of complex material constitutive models (for e.g. (19,20,29,(21)(22)(23)(24)(25)(26)(27)(28) and references therein) which incorporate underlying physical mechanisms, and identification of a large number of material parameters (19,24,37,38,27,(30)(31)(32)(33)(34)(35)(36). Presently, no unified material constitutive model exists which incorporates all physical mechanisms and their interactions.…”

“…17–27 and references therein) which incorporate underlying physical mechanisms, and identification of a large number of material parameters. 17,23,26,28,29,30–36 Presently, no unified material constitutive model exists which incorporates all physical mechanisms and their interactions. This is due to the complexities associated with the active mechanisms and their interactions.…”