The modelling of multi‐fracturing solids and particulate media

Computational strategies in the context of combined discrete/finite element methods for effective modelling of large-scale practical problems involving multiple fracture and discrete phenomena are reviewed in the present work. The issues considered include: (1) Fracture criteria and propagation mechanisms within both the finite and discrete elements, together with mesh adaptivity procedures for discretization and introduction of fracture systems; (2) Detection procedures for monitoring contact between large numbers of discrete elements; (3) Interaction laws governing the response of contact pairs; (4) Parallel implementation; (5) Other issues, such as element methodology for near incompressible behaviour and generation of random packing of discrete objects. The applicability of the methodology developed is illustrated through selected practical examples. Copyright © 2004 John Wiley & Sons, Ltd.

[1]  Gordan Jelenić,et al.  Enhanced lower-order element formulations for large strains , 1995 .

[2]  J. Bonet,et al.  A simple average nodal pressure tetrahedral element for incompressible and nearly incompressible dynamic explicit applications , 1998 .

[3]  Y. T. Feng,et al.  DYNAMIC DOMAIN DECOMPOSITION AND LOAD BALANCING IN PARALLEL SIMULATION OF FINITE/DISCRETE ELEMENTS , 2000 .

[4]  David R. Owen,et al.  Filling domains with disks: an advancing front approach , 2003 .

[5]  Robert L. Taylor,et al.  Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems☆ , 1993 .

[6]  G.G.W. Mustoe,et al.  A GENERALIZED FORMULATION OF THE DISCRETE ELEMENT METHOD , 1992 .

[7]  M. Ortiz,et al.  Formulation of implicit finite element methods for multiplicative finite deformation plasticity , 1990 .

[8]  R. E. Hollenbach,et al.  Rate-controlling processes in the brittle failure of rock , 1977 .

[9]  David R. Owen,et al.  Parallelised finite/discrete element simulation of multi‐fracturing solids and discrete systems , 2001 .

[10]  David R. Owen,et al.  An augmented spatial digital tree algorithm for contact detection in computational mechanics , 2002 .

[11]  Peter Wriggers,et al.  Consistent gradient formulation for a stable enhanced strain method for large deformations , 1996 .

[12]  Bruce Hendrickson,et al.  Parallel strategies for crash and impact simulations , 1998 .

[13]  D. R. J. Owen,et al.  An Energy Based Corner to Contact Algorithm , 2002 .

[14]  George Karypis,et al.  Parmetis parallel graph partitioning and sparse matrix ordering library , 1997 .

[15]  René de Borst,et al.  Some recent issues in computational failure mechanics , 2001 .

[16]  D. Owen,et al.  A combined finite‐discrete element method in transient dynamics of fracturing solids , 1995 .

[17]  David R. Owen,et al.  An Advancing Front Packing of Polygons, Ellipses and Spheres , 2002 .

[18]  G. R. Johnson,et al.  Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures , 1985 .

[19]  J. C. Simo,et al.  Geometrically non‐linear enhanced strain mixed methods and the method of incompatible modes , 1992 .

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

[21]  David R. Owen,et al.  A combined finite/discrete element simulation of shot peening processes – Part II: 3D interaction laws , 2000 .

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

[23]  David R. Owen,et al.  On error estimates and adaptivity in elastoplastic solids: Applications to the numerical simulation of strain localization in classical and Cosserat continua , 1994 .

[24]  Francisco Armero,et al.  On the formulation of enhanced strain finite elements in finite deformations , 1997 .

[25]  Jianguo Yu,et al.  Finite/Discrete Element Analysis of Multi-fracture and Multi-contact Phenomena , 2000, VECPAR.

[26]  Bruce Hendrickson,et al.  Dynamic load balancing in computational mechanics , 2000 .

[27]  D. Owen,et al.  Design of simple low order finite elements for large strain analysis of nearly incompressible solids , 1996 .

[28]  Ted Belytschko,et al.  An extended finite element method for modeling crack growth with frictional contact , 2001 .

[29]  G. Shi,et al.  Discontinuous Deformation Analysis , 1984 .