Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
Phase-field modeling for brittle fracture due to residual stress
Submission Author:
Gabriel Mario Guerra Bernadá , RJ , Brazil
Co-Authors:
Diego Turbino, Thiago Barreto de Aguiar, Gabriel Mario Guerra Bernadá, Fernando Pereira Duda
Presenter: Diego Turbino
doi://10.26678/ABCM.COBEM2021.COB2021-1493
Abstract
In this paper, we present the formulation and numerical implementation of a continuum theory for brittle fracture in elastic solids under small strains. In order to describe fracture, an extra independent kinematical descriptor, the phase or damage field, is introduced along with the corresponding balanced force system. The salient feature of this theory relies on the regularized treatment of the classical condition of damage irreversibility achieved by selecting an appropriate rate-dependent constitutive damage response. For the numerical implementation, which employs the finite-element method for spatial discretization and a backward Euler scheme for the time integration, a Python code using FEniCS is written. To illustrate its potential utility, we apply the model to simulate numerically a problem that mimics the crack nucleation and growth in a residually-stressed elastic solid from a random initial condition for the damage field which characterizes a body with heterogeneities.
Keywords
Phase field, Fracture process, residual stress, Crack propagation, Finite Elements
