A combined finite‐discrete element method in transient dynamics of fracturing solids

This paper discusses the issues involved in the development of combined finite/discrete element methods; both from a fundamental theoretical viewpoint and some related algorithmic considerations essential for the efficient numerical solution of large scale industrial problems. The finite element representation of the solid region is combined with progressive fracturing, which leads to the formation of discrete elements, which may be composed of one or more deformable finite elements. The applicability of the approach is demonstrated by the solution of a range of examples relevant to various industrial sections.

[1]  P. Cundall.  A computer model for simulating progressive, large-scale movements in blocky rock systems , 1971 .

[2]  R. Livesley.  Limit analysis of structures formed from rigid blocks , 1978 .

[3]  R. Huston,et al.  On multi-rigid-body system dynamics , 1979 .

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

[5]  K. C. Park,et al.  A variable-step central difference method for structural dynamics analysis — part 1. Theoretical aspects , 1980 .

[6]  Otis R. Walton,et al.  Particle-Dynamics Calculations of Shear Flow , 1982 .

[7]  Ted Belytschko,et al.  A computer method for stability analysis of caverns in jointed rock , 1984 .

[8]  D. J. Barnes,et al.  Computer simulated deformation of compact granular assemblies , 1986 .

[9]  John R. Williams,et al.  Dynamic Analysis for Generalized Three Dimensional Contact and Fracturing of Multiple Bodies , 1987 .

[10]  Motohiko Hakuno,et al.  GRANULAR ASSEMBLY SIMULATION WITH CUNDALL's MODEL FOR THE DYNAMIC COLLAPSE OF THE STRUCTURAL FOUNDATION , 1987 .

[11]  John R. Williams,et al.  Modal methods for the analysis of discrete systems , 1987 .

[12]  P. A. Cundall,et al.  FORMULATION OF A THREE-DIMENSIONAL DISTINCT ELEMENT MODEL - PART I. A SCHEME TO DETECT AND REPRESENT CONTACTS IN A SYSTEM COMPOSED OF MANY POLYHEDRAL BLOCKS , 1988 .

[13]  Charles Fairhurst,et al.  Static analysis of the stability of three-dimensional blocky systems around excavations in rock , 1988 .

[14]  R. Bathurst,et al.  Micromechanical Aspects of Isotropic Granular Assemblies With Linear Contact Interactions , 1988 .

[15]  Anand Jagota,et al.  Micromechanical modeling of powder compacts—II. Truss formulation of discrete packings , 1988 .

[16]  Norio Takeuchi,et al.  A Discrete Limit Analysis of Granular Materials Including Effects of the Solid Contact , 1988 .

[17]  L. Nilsson,et al.  A contact searching algorithm for general 3-D contact-impact problems , 1990 .

[18]  Jean-Pierre Bardet,et al.  Adaptative dynamic relaxation for statics of granular materials , 1991 .

[19]  P. Wriggers.  Finite element algorithms for contact problems , 1995 .