RT Journal Article ID 4f80216d6bf3e8f0 A1 Wei, Haoyan A1 Chen, Jiun-Shyan T1 A DAMAGE PARTICLE METHOD FOR SMEARED MODELING OF BRITTLE FRACTURE JF International Journal for Multiscale Computational Engineering JO JMC YR 2018 FD 2018-08-13 VO 16 IS 4 SP 303 OP 324 K1 smeared strain K1 stabilized conforming nodal integration K1 reproducing kernel particle method K1 smeared crack model K1 continuum damage model AB Numerical procedures for brittle fracture modeling become tedious when many moving strong discontinuities have to be captured. A smeared fracture modeling approach formulated under the reproducing kernel particle discretization is presented. In this approach, the smeared strain is computed by the divergence operation with a boundary integral of displacements in each nodal representative domain, thus avoiding direct derivatives of displacements for strain computation in the smeared cracking region. To avoid discretization size sensitivity issues, a scaling law is introduced based on the equivalence between the bulk damage energy dissipation and the surface fracture energy of the associated crack segment over the nodal representative domain. This scaling law is introduced under the stabilized conforming nodal integration framework, where the nodal representative domain serves as the smearing domain, and the smeared strain over the nodal representative domain is used with the scaled damage law to determine the damage state. The employment of stabilized conforming nodal integration also allows the displacement and damage state variables to be calculated and stored for the same set of particles, avoiding interpolation of variables between nodal and Gaussian points in conventional finite elements. Several numerical examples are presented to examine the effectiveness of the proposed damage particle method for smeared modeling of fracture. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,77bb56c9113fd8ad,4f80216d6bf3e8f0.html