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 Structural Engineering and Mechanics   Volume 16, Number 6, December 2003, pages 713-730 DOI: https://doi.org/10.12989/sem.2003.16.6.713 Analysis of quasi-brittle materials using two-dimensional polygon particle assemblies Jong Seok Lee, Yoon Bock Rhie and Ick Hyun Kim Abstract     [Buy Article] This paper contains the results of the study on the development of fracture and crack propagation in quasi-brittle materials, such as concrete or rocks, using the Discrete Element Method (DEM). A new discrete element numerical model is proposed as the basis for analyzing the inelastic evolution and growth of cracks up to the point of gross material failure. The model is expected to predict the fracture behavior for the quasi-brittle material structure using the elementary aggregate level, the interaction between aggregate materials, and bond cementation. The algorithms generate normal and shear forces between two interfacing blocks and contains two kinds of contact logic, one for connected blocks and the other one for blocks that are not directly connected. The Mohr-Coulomb theory has been used for the fracture limit. In this algorithm the particles are moving based on the connected block logic until the forces increase up to the fracture limit. After passing the limit, the particles are governed by the discrete block logic. In setting up a discrete polygon element model, two dimensional polygons are used to investigate the response of an assembly of different shapes, sizes, and orientations with blocks subjected to simple applied loads. Several examples involving assemblies of particles are presented to show the behavior of the fracture and the failure process. Key Words quasi-brittle materials; discrete element method; polygon block elements; Voronoi; failure. Address Jong Seok LeeDepartment of Civil & Environmental Engineering, University of Ulsan, Ulsan,KoreaYoon Bock RhieRhie & Associates, Inc., 1900 N. Vine St. #407, Los Angeles, CA 90068, USAIck Hyun KimDepartment of Civil & Environmental Engineering, University of Ulsan, Ulsan,Korea

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