Ultimate state of plane frame structures with piecewise linear yield conditions and multi-linear behavior: A reduced complementarity approach

作者：Manola M M S; Koumousis V K^*

来源：Computers & Structures, 2014, 130: 22-33.

DOI：10.1016/j.compstruc.2013.09.003

• Mathematical programming
• Ultimate load
• Complementarity problems
• Holonomic behavior

Elastoplastic analysis of structures with mathematical programming methods aims at finding the load factor of a given load pattern subject to equilibrium and compatibility requirements, satisfying yield and complementarity constraints. A new approach is introduced that identifies the specific yield hyper-planes associated with all critical sections avoiding all irrelevant alternatives. This results into substantial reduction of the size of the yield and complementarity conditions. In addition, it has a beneficial effect in addressing multi-linear hardening and/or softening holonomic behavior by controlling the size of the problem. Numerical examples are presented that verify the efficiency of the proposed approach.

• 出版日期2014-1