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Computation of limit loads
Author(s) -
Christiansen Edmund
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.1620171009
Subject(s) - limit (mathematics) , limit load , computation , limit analysis , finite element method , convergence (economics) , mathematics , plane stress , mathematical optimization , plane (geometry) , mathematical analysis , geometry , algorithm , structural engineering , upper and lower bounds , engineering , economics , economic growth
For computing the collapse state of a perfect plastic continuum we suggest a mixed finite element approximation to the infinite dimensional mathematical programming problem of limit analysis. The convergence of the limit load to the exact solution is discussed, as well as solution methods for the discrete problem. Finally the method is applied to a classical problem in plane strain.