Direct methods can be used to rapidly verify the safety of solid bodies and structures against collapse, and also to assist engineers wishing to rapidly identify structurally efficient designs for a specified load carrying capacity. Layout optimization is a direct method that can be used to solve very large-scale problems when adaptive solution schemes are employed, and the same underlying mathematical formulation is applicable to both analysis and design problems. Here the truss layout optimization formulation is applied to various benchmark design problems and the discontinuity layout optimization formulation applied to various plane strain limit analysis problems. It is observed that highly accurate solutions can be obtained, close to known analytical solutions. Finally future directions in the field of layout optimization are briefly considered.
|Title of host publication||Direct Methods for Limit States in Structures and Materials|
|Editors||Konstantinos Spiliopoulos, Dieter Weichert|
|Number of pages||24|
|ISBN (Print)||9400768265, 9789400768260, 9789400793064|
|Publication status||Published - 21 Aug 2013|