Limit analysis in plasticity as a mathematical programming problem

CALCOLO ◽  
1980 ◽  
Vol 17 (1) ◽  
pp. 41-65 ◽  
Author(s):  
E. Christiansen
Keyword(s):  
Mathematical Programming ◽  
Programming Problem ◽  
Limit Analysis ◽  
Mathematical Programming Problem

Limit analysis using the ellipsoid yield surface

1994 ◽  
Vol 445 (1925) ◽  
pp. 519-527
Keyword(s):  
Mathematical Programming ◽  
Yield Surface ◽  
Limit Analysis ◽  
Iteration Process ◽  
Mathematical Programming Problem ◽  
Plastic Limit ◽  
Polyester Composite ◽  
Plastic Limit Analysis ◽  
Element Technique ◽  
Kinematic Theorem

The ellipsoid yield surface can be applied to many engineering materials, such as metal, concrete, polyester, composite, etc. It is essential to establish an efficient method to carry out the plastic limit analysis of such media. Based on the classical kinematic theorem of plasticity theory and the finite element technique, a discrete mathematical programming formula is presented to determine the collapse load for materials with ellipsoid yield surface. The mathematical programming problem is solved by an efficient algorithm including an iteration process. The convergency of the algorithm is guaranteed. Numerical examples are presented and the results are reasonable and satisfactory.

scholarly journals Multiobjective Interaction Programming Problem with Interaction Constraint for Two Players

2012 ◽  
Vol 2012 ◽  
pp. 1-14
Author(s):  
Min Jiang ◽  
Zhiqing Meng ◽  
Xinsheng Xu ◽  
Rui Shen ◽  
Gengui Zhou
Keyword(s):  
Mathematical Programming ◽  
Programming Problem ◽  
Programming Model ◽  
Weight Vector ◽  
Mathematical Programming Problem ◽  
Pricing Model ◽  
Multi Objective ◽  
Joint Solution ◽  
Joint Pricing ◽  
Better Than

This paper extends an existing cooperative multi-objective interaction programming problem with interaction constraint for two players (or two agents). First, we define ans-optimal joint solution with weight vector to multi-objective interaction programming problem with interaction constraint for two players and get some properties of it. It is proved that thes-optimal joint solution with weight vector to the multi-objective interaction programming problem can be obtained by solving a corresponding mathematical programming problem. Then, we define anothers-optimal joint solution with weight value to multi-objective interaction programming problem with interaction constraint for two players and get some of its properties. It is proved that thes-optimal joint solution with weight vector to multi-objective interaction programming problem can be obtained by solving a corresponding mathematical programming problem. Finally, we build a pricing multi-objective interaction programming model for a bi-level supply chain. Numerical results show that the interaction programming pricing model is better than Stackelberg pricing model and the joint pricing model.

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