Discontinuous modelling of cohesive-frictional blocky materials

ABSTRACT There are many similarities and unifying aspects between the seemingly different discontinuous modelling frameworks and formulations (Discrete Element Method DEM, Combined DEM/FEM, MDEM Modified Distinct Element Method, Discontinuous Deformation Analysis DDA, Non Smooth Contact Dynamics NSCD, Stress Based DEM). This is reflected in the manner they deal with the characterisation of bodies geometry and the contact detection, with the imposition of contact constraints and boundary conditions, with the definition and description of bodies deformability, fracturing and fragmentation, the transition from continua to discontinua as well as the associated time stepping algorithms… Some modelling aspects and illustrative applications of three specific discontinuous computational frameworks will be considered—rigid body spring method (RBSM), discontinuous deformation analysis (DDA) and non-smooth contact dynamics (NSCD)—applicable for analyses of solids and structures with both existing and/or emerging dis...

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

[2]  A. Munjiza.  The Combined Finite-Discrete Element Method , 2004 .

[3]  Jacques Heyman,et al.  The masonry arch , 1982 .

[4]  Aibing Yu,et al.  Discrete element method: An effective way for particle scale research of particulate matter , 2004 .

[5]  Matthew Gilbert,et al.  Limit analysis of masonry block structures with non-associative frictional joints using linear programming , 2006 .

[6]  J. Bolander,et al.  Fracture analyses using spring networks with random geometry , 1998 .

[7]  Michel Saint Jean,et al.  The non-smooth contact dynamics method , 1999 .

[8]  Claude Bohatier,et al.  NSCD discrete element method for modelling masonry structures , 2005 .

[9]  Tadahiko Kawai,et al.  NEW ELEMENT MODELS IN DISCRETE STRUCTURAL ANALYSIS , 1977 .

[10]  Tomasz Koziara,et al.  Semismooth Newton method for frictional contact between pseudo-rigid bodies , 2008 .

[11]  Janos Kertesz,et al.  The contact dynamics method for granular media , 2002 .

[12]  M A Crisfield,et al.  FINITE ELEMENT AND MECHANISM METHODS FOR THE ANALYSIS OF MASONRY AND BRICKWORK ARCHES , 1985 .

[13]  A. Munjiza.  The Combined Finite-Discrete Element Method: Munjiza/Discrete Element Method , 2004 .

[14]  P. A. Cundall,et al.  NUMERICAL MODELLING OF DISCONTINUA , 1992 .

[15]  Nenad Bićanić,et al.  Discrete Element Methods , 2004 .

[16]  Robert G. Muncaster,et al.  The theory of pseudo-rigid bodies , 1988 .

[17]  M. Ortiz,et al.  FINITE-DEFORMATION IRREVERSIBLE COHESIVE ELEMENTS FOR THREE-DIMENSIONAL CRACK-PROPAGATION ANALYSIS , 1999 .

[18]  Peter A. Cundall,et al.  A Discontinuous Future for Numerical Modeling in Soil and Rock , 2002 .

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