Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
Phase-Field Model for Stress Corrosion Cracking based on Continuum Mechanics and the concept of microforces
Submission Author:
Murilo Prudente Rodrigues , RJ , Brazil
Co-Authors:
Murilo Prudente Rodrigues, Suelen Sobrinho, Fernando Pereira Duda
Presenter: Murilo Prudente Rodrigues
doi://10.26678/ABCM.COBEM2021.COB2021-1028
Abstract
In this paper, we present a continuum-mechanical derivation of a phase-field model for dissolution in elastic solids under stress. The solid is immersed in a binary solution that contains the dissolved solid as one of its components and the solid-solution system treated as an enriched continuous medium, where a smooth scalar field, the phase field, is introduced to describe the solid-solution interface. Accordingly, the phase field is chosen to vary between $0$ (solid) and $1$ (solution) and the solid-solution interface identified as a small region in which the variation of the phase field between those values takes place. The primary variables of the theory are the solid displacement $\mathbf{u}$, solid concentration $c$, and the phase field $\varphi$, with the corresponding governing equations obtained by combining the basic balances of the theory, namely the standard force balance, the solid content balance, and the microforce force balance, with a constitutive theory consistent with thermodynamics. To assess the predictive capability of the proposed theory, a special version of it is single out for further investigation based on its numerical implementation on the open-source python library called FEniCS. We believe this work is a first step towards the development of predictive tools to evaluate Stress Corrosion Cracking (SCC), one of the most complex and intriguing failure mechanism underlying the loss of structural integrity of mechanical components in service conditions.
Keywords
Phase-Field Model, stress cracking, Continuum mechanics
