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Elasto visco‐plastic flow with special attention to boundary conditions
Author(s) -
Shimazaki Yoji,
Thompson Erik G.
Publication year - 1981
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620170108
Subject(s) - finite element method , boundary value problem , mathematics , flow (mathematics) , boundary knot method , mathematical analysis , stress (linguistics) , field (mathematics) , mechanics , boundary element method , geometry , physics , engineering , structural engineering , linguistics , philosophy , pure mathematics
In this paper we analyse a simple but non‐trivial steady‐state creeping elasto visco‐plastic (Maxwell fluid) radial flow problem, paying particular attention to the effects of the boundary conditions. Solutions are obtained by integration of a governing equation on stress, using the Runge‐Kutta method for initial value problems and finite differences for boundary value problems. A more general approach by the finite element method, which solves for the velocity field rather than the stress field, and which is applicable to a wide range of problems, is presented and tested using the radial flow example.