Numerical simulations of dynamic fracture and fragmentation problems by a novel diffusive damage model

• Published in: Computers & mathematics with applications (1987) 2022-11, Vol.125, p.193-212
• Main Authors: Bui, Tinh Quoc, Tran, Hung Thanh
• Format: Article
• Language: English
• Subjects: Damage; Dynamic fracture; FEM; Localized mass loss; Split strain energy
• ISSN: 0898-1221; 1873-7668
• DOI: 10.1016/j.camwa.2022.08.036

In this paper, we report numerical simulations for dynamic fracture and fragmentation problems in brittle materials using a recently developed split strain energy diffusive mass-field damage model in terms of standard finite element method (FEM). The enhanced constitutive laws for mass source and mass flux by means of strain energy decomposition are adopted to overcome certain drawbacks of the original non-split model. We present theoretical formulations in a more general way that is suitable and valid for both small and finite deformation regimes. The coupled system of equations is derived in which the momentum is governed to describe the time-dependent deformation of brittle solids whereas the mass-diffusion balance equations are for the evolution of mass density. We also develop simple techniques for determining crack velocity and estimating amount of mass loss. Numerical examples are considered for both small and finite deformations. The accuracy and performance of the developed theory for dynamic brittle fracture are illustrated through comparison and verification, which are to compare the computed results with respect to experimental data and other numerical methods in terms of crack path trajectories, dynamic response, energy dissipation, and other relevant numerical aspects. •Dynamic description of localized mass-field damage model at finite deformation for brittle fracture is presented.•Localized mass-field damage model enhanced by energy decomposition for dynamic analysis is used.•Dynamic crack propagation for problems with complex geometries and fragmentation simulation are studied.•Prediction of dissipated energy agrees well with the theoretical value.•It provides an alternative approach for modeling dynamic fracture in solids.