2D combined finite‐discrete element method to model multi‐fracture of beam structures

Purpose – The purpose of this paper is to present a 2D combined finite‐discrete element method (FEM‐DEM) to model the multi‐fracture of beam structures and an application of the method to an ice‐structure interaction problem.Design/methodology/approach – In the method, elastic beams and their fracture are modelled according to FEM by using nonlinear Timoshenko beam elements and cohesive crack model. Additionally, the beam elements are used to tie the discrete elements together. The contact forces between the colliding beams are calculated by using the DEM.Findings – Three numerical examples are given to verify the method. Further, the method is applied to model the failure process of a floating ice beam against an inclined structure. Based on the comparison of the experiments and the simulation, a good agreement between the results is observed.Originality/value – In the context of combined FEM‐DEM, the two novel features presented in this paper are: the use of Timoshenko finite element beams with damping ...

[1]  A. Hillerborg,et al.  Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements , 1976 .

[2]  Antonio Munjiza,et al.  Penalty function method for combined finite–discrete element systems comprising large number of separate bodies , 2000 .

[3]  M. Ortiz,et al.  Computational modelling of impact damage in brittle materials , 1996 .

[4]  George A. Gazonas,et al.  The cohesive element approach to dynamic fragmentation: the question of energy convergence , 2007 .

[5]  Mark A. Hopkins,et al.  Numerical Simulation of Systems of Multitudinous Polygonal Blocks , 1992 .

[6]  Adnan Ibrahimbegovic,et al.  Microscale and mesoscale discrete models for dynamic fracture of structures built of brittle material , 2003 .

[7]  A. Munjiza,et al.  NBS contact detection algorithm for bodies of similar size , 1998 .

[8]  Eugenio Oñate,et al.  Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems , 2004 .

[9]  David A. Cendón,et al.  A discrete crack approach to normal/shear cracking of concrete , 2002 .

[10]  Joseph P. Morris,et al.  Simulations of Fracture and Fragmentation of Geologic Materials using Combined FEM/DEM Analysis , 2005 .

[11]  Fei Wang,et al.  The modelling of multi‐fracturing solids and particulate media , 2004 .

[12]  Z. Bažant,et al.  Fracture and Size Effect in Concrete and Other Quasibrittle Materials , 1997 .

[13]  D. V. Griffiths,et al.  Modelling of elastic continua using a grillage of structural elements based on discrete element concepts , 2001 .

[14]  P. Wriggers.  Nonlinear Finite Element Methods , 2008 .

[15]  M. Ortiz,et al.  Three‐dimensional cohesive modeling of dynamic mixed‐mode fracture , 2001 .

[16]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[17]  Ron Kwok,et al.  Elastic‐decohesive constitutive model for sea ice , 2006 .