Proposal of FEM implemented with particle discretization for analysis of failure phenomena

Journal of the Mechanics and Physics of Solids

Volumn 53, Issue 3, 2005, Pages 681-703

  Hori, Muneo ^a   Oguni, Kenji ^a   Sakaguchi, Hide ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Discontinuous finite element method; Failure analysis; Non overlapping shape functions; Particle modeling; Voronoi and Delaunay tessellation

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; CONTINUUM MECHANICS; FINITE ELEMENT METHOD; FUNCTIONS; MATHEMATICAL MODELS; STRESSES;

DISCONTINUOUS FINITE ELEMENT METHOD; NON-OVERLAPPING SHAPE FUNCTIONS; PARTICLE MODELING; VORONOI AND DELAUNAY TESSELLATION;

FAILURE ANALYSIS;

EID: 12344283945     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2004.08.005     Document Type: Article

References (11)

1. D.N. Arnold An interior penalty finite element method with discontinuous elements SIAM J. Numer. Anal. 19 1982 742 760
2. S.G. Bardenhagen, J.U. Brackbill, and D. Sulsky The material-point method for granular materials Comput. Methods Appl. Mech. Eng. 187 2000 529 541
3. T. Belytschko, N. Moes, S. Usui, and C. Parimi Arbitrary discontinuities in finite element Int. J. Numer. Methods Eng. 50 2000 993 1013
4. P. Cundall A computer model for simulating progressive, large scale movements in blocky rock systems Proceedings of the International Symposium on Rock Fractures 1971 Nancy France
5. A.V.C. Duarte, E.G. Dutra do Carmo, and F.A. Rochinha Consistent discontinuous finite elements in elastodynamics Comput. Methods Appl. Mech. Eng. 190 2000 193 223
6. G. Engel, K. Garikipati, T.J.R. Hughes, M.G. Larson, L. Mazzei, and R.L. Taylor Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity Comput. Methods Appl. Mech. Eng. 191 2002 3669 3750
7. R.A. Gingold, and J.J. Monaghan Smoothed particle hydrodynamics theory and application to non-spherical stars Mon. Not. R. Astron. Soc. 181 1977 375 389
8. L.B. Lucy Numerical approach to testing of fission hypothesis Astron. J. 82 1977 1013 1024
9. J. Oliver On the discrete constitutive models induced by strongly discontinuity kinematics and continuum constitutive equations Int. J. Solids Struct. 37 2000 7207 7229
10. D.O. Potyondy, P.A. Cundall, and C. Lee Modeling rock using bonded assemblies of circular particles M. Aubertin F. Hassani H. Mitri Rock Mechanics Tool and Techniques, Proceedings of the Second North American Rock Mechanics Symposium, NARMS'96 1996 Balkema Rotterdam 1937 1944
11. H. Sakaguchi, and H.S. Mühlhaus Mesh free modelling of failure and localization in brittle rock A. Asaoka T. Adachi F. Oka Deformation and Progressive Failure in Geomechanics 1997 Pergamon New York 15 21