Alternating optimization of design and stress for stress-constrained topology optimization

Abstract Handling stress constraints is an important topic in topology optimization. In this paper, we introduce interpretation of stresses as optimization variables, leading to augmented Lagrangian formulation. This formulation takes two sets i.e., auxiliary variable per element, addition a density conventional density-based approaches. The related the actual (i.e., computed by its definition) equality constraint. When constraint strictly satisfied, upper bound imposed on design equivalently applies stress. incorporated into objective function linear and quadratic terms using form. We further show that separable regarding variables. gives rise efficient solver known alternating direction method multipliers (ADMM). each iteration, Lagrange are alternatingly updated. introduction variables enlarges search space. demonstrate effectiveness efficiency proposed solution strategy simple truss examples dozen continuum structure settings.