@book{329322ec0dbb48c697a4a05011df55c5,

title = "Lower bounding problems for stress constrained discrete structural topology optimization problems",

abstract = "The multiple load structural topology design problem is modeled as a minimization of the weight of the structure subject to equilibrium constraints and restrictions on the local stresses and nodal displacements. The problem involves a large number of discrete design variables and is modeled as a non-convex mixed 0–1 program. For this problem, several convex and mildly non-convex continuous relaxations are presented. Reformulations of these relaxations, obtained by using duality results from semi-definite and second order cone programming, are also presented. The reformulated problems are suitable for implementation in a nonlinear branch and bound framework for solving the considered class of problems to global optimality.",

keywords = "Topology optimization, Stress constraints, Relaxations, Global optimization",

author = "Mathias Stolpe and Roman Stainko and Michal Kocvara",

year = "2007",

language = "English",

series = "PLATO-N Public Reports",

number = "PLATO-N PU-R-8-2007",

}