第２部門①

[2B01-06-01] A variational formulation of crack phase-field modeling for ductile fracture equipped two damage variables

*Jike Han¹, Seishiro Matsubara², Shuji Moriguchi¹, Kenjiro Terada¹ (1. Tohoku University, 2. Nagoya University)

Keywords:Crack phase-field model, Damage model, Damage variable

This study presents a variational formulation of crack phase-field modeling for ductile fracture. Constitutive work density consists of elastic, plastic, and crack components, with damage variables separately introduced for elasticity and plasticity. The proposed model is equipped with thresholds and coefficients to control the amount of damage driving force, while variational consistent evolution laws for damage are derived as stationary conditions from a supremum problem of dissipative potential. Also, governing equations are derived from an optimization problem within the continuum thermodynamics framework. The characteristic features of the proposed model are demonstrated with numerical examples.