Three dimensional numerical manifold method and rock engineering applications

[1]  Guowei Ma,et al.  THE NUMERICAL MANIFOLD METHOD: A REVIEW , 2010 .

[2]  Tomofumi Koyama,et al.  DEVELOPMENT OF COUPLED DISCONTINUOUS DEFORMATION ANALYSIS AND NUMERICAL MANIFOLD METHOD (NMM–DDA) , 2010 .

[3]  Kenjiro Terada,et al.  EULERIAN FINITE COVER METHOD FOR SOLID DYNAMICS , 2010 .

[4]  Yumin Cheng,et al.  A COMPLEX VARIABLE MESHLESS MANIFOLD METHOD FOR FRACTURE PROBLEMS , 2010 .

[5]  Guowei Ma,et al.  A NUMERICAL MANIFOLD METHOD FOR PLANE MICROPOLAR ELASTICITY , 2010 .

[6]  Mao Kurumatani,et al.  Finite cover method with multi‐cover layers for the analysis of evolving discontinuities in heterogeneous media , 2009 .

[7]  Guirong Liu,et al.  A normed G space and weakened weak (W2) formulation of a cell-based smoothed point interpolation method , 2009 .

[8]  Y. H. Zhang,et al.  Formulation of a Three-dimensional Numerical Manifold Method with Tetrahedron and Hexahedron Elements , 2008 .

[9]  Nick Barton,et al.  Shear Strength of Rockfill, Interfaces and Rock Joints, and their Points of Contact in Rock Dump Design , 2008 .

[10]  Alexander M. Bronstein,et al.  Weighted distance maps computation on parametric three-dimensional manifolds , 2007, J. Comput. Phys..

[11]  Kenjiro Terada,et al.  Eulerian finite cover method for quasi‐static equilibrium problems of hyperelastic bodies , 2006 .

[12]  Takashi Kyoya,et al.  Finite cover method for progressive failure with cohesive zone fracture in heterogeneous solids and structures , 2006 .

[13]  Hongwu Zhang,et al.  Numerical manifold method for dynamic nonlinear analysis of saturated porous media , 2006 .

[14]  H. Landry,et al.  Discrete element representation of manure products , 2006 .

[15]  Shucai Li,et al.  Enriched meshless manifold method for two-dimensional crack modeling , 2005 .

[16]  Kenjiro Terada,et al.  An integrated procedure for three‐dimensional structural analysis with the finite cover method , 2005 .

[17]  Kenjiro Terada,et al.  Finite cover method with mortar elements for elastoplasticity problems , 2005 .

[18]  Yu-Fei Wu,et al.  Numerical manifold method based on the method of weighted residuals , 2005 .

[19]  P. Cundall,et al.  A bonded-particle model for rock , 2004 .

[20]  Kenjiro Terada,et al.  Performance assessment of generalized elements in the finite cover method , 2004 .

[21]  F. Maio,et al.  Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes , 2004 .

[22]  José V. Lemos,et al.  Numerical study of the seismic behaviour of a part of the Parthenon Pronaos , 2003 .

[23]  Kenjiro Terada,et al.  Finite cover method for linear and non‐linear analyses of heterogeneous solids , 2003 .

[24]  Lanru Jing,et al.  A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering , 2003 .

[25]  M. Atiyah,et al.  Polyhedra in Physics, Chemistry and Geometry , 2003, math-ph/0303071.

[26]  Jeen-Shang Lin,et al.  A mesh-based partition of unity method for discontinuity modeling , 2003 .

[27]  Qinghui Jiang,et al.  Validation of block theory and three-dimensional discontinuous deformation analysis as wedge stability analysis methods , 2003 .

[28]  John-Paul Latham,et al.  3D dynamics of discrete element systems comprising irregular discrete elements—integration solution for finite rotations in 3D , 2003 .

[29]  Yihe Zhang,et al.  Wilson non‐conforming element in numerical manifold method , 2002 .

[30]  P. Wriggers,et al.  Computational Contact Mechanics , 2002 .

[31]  Yu-Min Lee,et al.  Mixed mode fracture propagation by manifold method , 2002 .

[32]  Eric Perkins,et al.  A fast contact detection algorithm insensitive to object sizes , 2001 .

[33]  Giovanni Battista Barla,et al.  Continuum and discontinuum modelling in tunnel engineering , 2000 .

[34]  Martin Kremmer,et al.  Calculating rotational motion in discrete element modelling of arbitrary shaped model objects , 2000 .

[35]  T. Laursen,et al.  A mortar‐finite element formulation for frictional contact problems , 2000 .

[36]  J. Williams,et al.  Discrete element simulation and the contact problem , 1999 .

[37]  Y. Chiou,et al.  CRACK GROWTH PREDICTION BY MANIFOLD METHOD , 1999 .

[38]  D. V. Griffiths,et al.  SLOPE STABILITY ANALYSIS BY FINITE ELEMENTS , 1999 .

[39]  Guangqi Chen,et al.  DEVELOPMENT OF HIGH-ORDER MANIFOLD METHOD , 1998 .

[40]  S. Wang,et al.  The inside–outside contact search algorithm for finite element analysis , 1997 .

[41]  P. Wriggers,et al.  On contact between three-dimensional beams undergoing large deflections , 1997 .

[42]  Larsgunnar Nilsson,et al.  A unified contact algorithm based on the territory concept , 1996 .

[43]  John R. Williams,et al.  A linear complexity intersection algorithm for discrete element simulation of arbitrary geometries , 1995 .

[44]  Larsgunnar Nilsson,et al.  The position code algorithm for contact searching , 1994 .

[45]  N Oreskes,et al.  Verification, Validation, and Confirmation of Numerical Models in the Earth Sciences , 1994, Science.

[46]  Z. Zhong Finite Element Procedures for Contact-Impact Problems , 1993 .

[47]  Ted Belytschko,et al.  The splitting pinball method for contact-impact problems , 1993 .

[48]  H. B. Manbeck,et al.  Constitutive models for cohesive particulate materials , 1992 .

[49]  Gen-Hua Shi,et al.  Manifold Method of Material Analysis , 1992 .

[50]  Mark O. Neal,et al.  Contact‐impact by the pinball algorithm with penalty and Lagrangian methods , 1991 .

[51]  David J. Benson,et al.  A single surface contact algorithm for the post-buckling analysis of shell structures , 1990 .

[52]  P. Cundall,et al.  FORMULATION OF A THREE-DIMENSIONAL DISTINCT ELEMENT MODEL - PART II. MECHANICAL CALCULATIONS FOR MOTION AND INTERACTION OF A SYSTEM COMPOSED OF MANY POLYHEDRAL BLOCKS , 1988 .

[53]  J. C. Simo,et al.  A perturbed Lagrangian formulation for the finite element solution of contact problems , 1985 .

[54]  J. Oden,et al.  Nonlocal and Nonlinear Friction Laws and Variational Principles for Contact Problems in Elasticity , 1983 .

[55]  N. Barton,et al.  The shear strength of rock joints in theory and practice , 1977 .

[56]  Richard E. Goodman,et al.  Methods of Geological Engineering in Discontinuous Rocks , 1975 .

[57]  E. G. Richard,et al.  A model for the mechanics of jointed rock , 1968 .

[58]  K. W. John Graphical Stability Analysis of Slopes in Jointed Rock , 1968 .

[59]  J. M. Duncan,et al.  FINITE ELEMENT ANALYSES OF SLOPES IN JOINTED ROCK. , 1968 .

[60]  J. S. Courtney‐Pratt,et al.  The effect of a tangential force on the contact of metallic bodies , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[61]  J. Moreau On Unilateral Constraints, Friction and Plasticity , 2011 .

[62]  G. Ma,et al.  Development of 3-D Numerical Manifold Method , 2009 .

[63]  Chung-In Lee,et al.  A New Contact Method Using Inscribed Sphere for 3D Discontinuous Deformation Analysis , 2009 .

[64]  G. Ma,et al.  Towards A Three-Dimensional Version Of Numerical Manifold Method , 2008 .

[65]  Barbara Wohlmuth,et al.  Contact Dynamics with Lagrange Multipliers , 2007 .

[66]  Peng Xiao-chu Toppling failure simulation of rock slopes by numerical manifold method , 2007 .

[67]  Huang Yu-ying,et al.  Application of numerical manifold method in fluid-solid interaction harmonic analysis , 2007 .

[68]  Ym Cheng,et al.  Detection of 3D rock block contacts by penetration edges , 2004 .

[69]  Gen-hua Shi,et al.  Three Dimensional Discontinuous Deformation Analyses , 2001 .

[70]  Cheng Yung-ming Coupling of FEM and DDA Method , 2000 .

[71]  R. Diekmann,et al.  EFFICIENT CONTACT SEARCH FOR FINITE ELEMENT ANALYSIS , 2000 .

[72]  J. Barbera,et al.  Contact mechanics , 1999 .

[73]  M. Raous,et al.  Quasistatic Signorini Problem with Coulomb Friction and Coupling to Adhesion , 1999 .

[74]  J. Gabriel Beyond the cube : the architecture of space frames and polyhedra , 1997 .

[75]  中国科学院 Science in China. Series E, Technological sciences , 1996 .

[76]  J. C. Simo,et al.  Algorithmic symmetrization of coulomb frictional problems using augmented lagrangians , 1993 .

[77]  F. G. Bell,et al.  Engineering in Rock Masses , 1992 .

[78]  J. Bonet,et al.  An alternating digital tree (ADT) algorithm for 3D geometric searching and intersection problems , 1991 .

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

[80]  Larsgunnar Nilsson,et al.  A contact searching algorithm for general contact problems , 1989 .

[81]  B. Chazelle,et al.  Optimal Convex Decompositions , 1985 .

[82]  Richard E. Goodman,et al.  Block theory and its application to rock engineering , 1985 .

[83]  Richard E. Goodman,et al.  CALCULATION OF SUPPORT FOR HARD, JOINTED ROCK USING THE KEYBLOCK PRINCIPLE , 1982 .

[84]  J. Oden Exterior Penalty Methods for Contact Problems in Elasticity , 1981 .

[85]  Richard E. Goodman,et al.  Analysis Of The Stability Of Slopes In Weathered Rocks , 1979 .

[86]  Z. Mroz,et al.  Associated and non-associated sliding rules in contact friction problems. , 1978 .

[87]  C. Dowding Response of Rock Tunnels to Earthquake Shaking , 1978 .

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

[89]  A. J. Hendron,et al.  Design Of Surface And Near-Surface Construction In Rock , 1966 .