A phase-field model for solute-assisted brittle fracture in elastic-plastic solids

Abstract

A phase-field theory of brittle fracture in elastoplastic solids hosting mobile interstitial solute species is developed in this paper. The theory, which is formulated within the framework of modern continuum mechanics, provides a systematic way to describe the interplay between solute migration and solid deformation and fracture. A specialization of the theory, which accounts for both solute-induced deformation and solute-assisted fracture as well as for their mutual effects on solute migration, is selected for numerical studies. Toward this end, a numerical model based on the finite-element method for spatial discretization and a splitting scheme with sub-stepping for the time integration is proposed. The model is applied to the study of hydrogenassisted crack propagation of high-strength steel specimens under sustained loads. The solutions obtained are compared with numerical and experimental results reported in the literature. It is shown that the proposed model has the capability to capture important features presented in the studied phenomenon.

Thermo-mechanical Analysis of Friction Stir Welding: A Review on Recent Advances

“…The general trend that the void defects were observed on the advancing side was consistent with the experiments. Further demonstration is expected in the future analysis by extending this concept to link the thermomechanical state variables during FSW to more advanced damage evolution models [89][90][91][92].…”

Applications of phase field fracture in modelling hydrogen assisted failures

“…Martínez-Pañeda et al [14] have recently extended the phase field fracture method to predict hydrogen assisted failures and the approach has quickly gained popularity as a framework for incorporating various hydrogen embrittlement models [15][16][17][18][19][20]. The main experimental trends have been captured and advanced fracture features such as crack merging, nucleation from arbitrary sites and branching are predicted without convergence problems or the need for remeshing.…”

A comparative review of peridynamics and phase-field models for engineering fracture mechanics

“…Table 2 lists the available phase-field fracture and damage models. The following models have been developed within the phase-field framework: brittle fracture [12,146,151,155,[186][187][188], fatigue [189][190][191][192][193][194][195][196], multi-field fracture [152,[197][198][199][200][201][202][203][204][205][206][207][208][209][210][211][212], frictional contact [213], plate/shell fracture [214][215][216][217][218][219][220] (where [220] solves some issues with the energy decomposition which were leading in [214,216] to unphysical results), three-dimensional fracture [151,202,[221]…”