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On the elastic plastic initial‐boundary value problem and its numerical integration
Author(s) -
Son Nguyen Quoc
Publication year - 1977
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.1620110505
Subject(s) - finite element method , convergence (economics) , boundary value problem , mathematics , hardening (computing) , numerical analysis , plasticity , numerical integration , iterative method , mathematical analysis , mathematical optimization , structural engineering , materials science , engineering , composite material , layer (electronics) , economics , economic growth
An interative approach is proposed for the numerical analysis of elastic–plastic continua. This approach gives after convergence an implicit scheme of integration of the evolution problem, and is concerned with elastic‐perfectly plastic materials and with hardening standard materials. Under a generalized assumption of positive hardening, the proof of convergence of the iterative solutions is given. Some numerical examples by the finite element method are also discussed.