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Mixed discretization procedure for accurate modelling of plastic collapse
Author(s) -
Marti Joaquin,
Cundall Peter
Publication year - 1982
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610060109
Subject(s) - discretization , finite element method , isotropy , compressibility , constant (computer programming) , flow (mathematics) , finite strain theory , mathematics , computer science , calculus (dental) , structural engineering , mathematical analysis , mechanics , geometry , engineering , physics , medicine , dentistry , quantum mechanics , programming language
Collapse loads are overestimated by finite‐element or finite‐difference procedures when the material discretization does not allow locally incompressible plastic flow: for example, constant‐strain triangles or tetrahedra give unacceptable results. The use of different discretizations for the isotropic and deviatoric parts of the strain tensor is advocated for preventing this problem. The technique can be easily implemented in existing two‐ and three‐dimensional computer programs. Its effectiveness is demonstrated by several examples.