Premium
Incremental finite element sensitivity analysis for non‐linear mechanics applications
Author(s) -
Kleiber Michal,
Hien Tran Duong,
Postek Eligiusz
Publication year - 1994
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.1620371906
Subject(s) - finite element method , sensitivity (control systems) , mathematics , computer science , mathematical optimization , scheme (mathematics) , mixed finite element method , extended finite element method , smoothed finite element method , algorithm , boundary knot method , structural engineering , mathematical analysis , engineering , boundary element method , electronic engineering
Finite element formulations for structural sensitivity analysis of non‐linear systems with fixed overall shape are discussed. Both the direct differentiation and adjoint variable methods are employed. The resulting sensitivity algorithms are consistent with time integration scheme adopted for solving equilibrium problem. Effectiveness and computational aspects of the procedures are discussed and compared. Numerical algorithms are shown to be readily implemented in existing finite element codes. Large‐scale examples illustrate the paper.