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Elastic‐plastic analysis of annular disks with nonlinear strain‐hardening under external pressure
Author(s) -
You X.Y.,
You L.H.,
Zhang J.J.
Publication year - 2005
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310178
Subject(s) - von mises yield criterion , plasticity , hardening (computing) , finite element method , nonlinear system , strain hardening exponent , mechanics , materials science , constitutive equation , mathematical analysis , mathematics , structural engineering , physics , composite material , engineering , layer (electronics) , quantum mechanics
In this paper, a simple and effective method is presented to deal with elastic‐plastic problems of annular disks with a nonlinear strain‐hardening material behaviour under external pressure. The governing equation is derived from the deformation theory of plasticity, von Mises' yield criterion, and the nonlinear strain‐hardening stress‐strain relation. The truncated Taylor's expansion is employed to solve the governing equation. A comparison is made among the proposed method, existing analytical approaches and finite element method for annular disks with constant and variable thickness under external pressure. Excellent agreement is found between the proposed approach and finite element analysis.