Premium
A mixed formulation and mixed finite elements for limit analysis
Author(s) -
Casciaro Raffaele,
Cascini Leonardo
Publication year - 1982
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.1620180206
Subject(s) - finite element method , penalty method , limit (mathematics) , mathematics , limit analysis , nonlinear system , mixed finite element method , flow (mathematics) , minification , kinematics , mathematical analysis , mathematical optimization , geometry , classical mechanics , physics , structural engineering , engineering , upper and lower bounds , quantum mechanics
A mixed variational principle for the limit analysis of rigid‐perfectly plastic continua is discussed, in which the nonlinear yield condition and the associated flow rule appear through a suitably defined ‘penalty’ function. A mixed finite element discrete formulation is derived and a sequential unconstrained minimization technique is devised, affording a complete (static and kinematic) solution. Several results are presented in both structural and soil mechanics, compared with previously available (exact and numerical) solutions.