Optimal shakedown loading for circular plates

Integrated Load Optimization of Elastic‐plastic Axisymmetric Plates at Shakedown

“…Load shakedown analysis via numerical and mathematical programming methods is relevant for civil engineering. This has been confirmed by the growing number of investigations in this field (Mróz et al 1995;Weichert et al 2002;Kaliszky and Lógó 2002;Pham 2003;Atkočiūnas et al 2004;Merkevičiūtė and Atkočiūnas 2006;Stonkus et al 2009;Žilinskaitė and Žiliukas 2008).…”

“…The load optimization problem is formulated by integrating extreme energy principles and methods of mathematical programming theory. A new algorithm for the problem combining Mises and Tresca yield criterion for adapted flexural plates optimization based on the Rosen project gradient method is proposed in this paper (Čyras and Atkočiūnas 1984;Atkočiūnas et al 2007aAtkočiūnas et al , 2007bAtkočiūnas et al , 2008. The algorithm is based on the linear Tresca yield criterion.…”

Stepped Optimization Algorithm for Light‐weight Elastic‐plastic Structures Considering Load Combinations

“…When analyzing the curves of relation (15) in respect to different thickness pipes, one can find them to be close to linear. !%…”

“…practice) only variation bounds of above residual values can be identified [14]. One can mention the investigations on optimization of structures considering residual displacement restrictions [15]. Numerical solution of problems is very complicated even in such formulation.…”

Optimal shakedown design of metal structures under stiffness and stability constraints

“…An increasing number of scientific works dedicated to adapted structure calculation show the importance of such research [1][2][3][4][5][6][7][8]. Thus, optimization of adapted structures under stiffness and stability constraints remains relevant.…”