A phase-field-based graded-material topology optimization with stress constraint

Ferdinando Auricchio, E. Bonetti, Massimo Carraturo, Dietmar Hömberg, Alessandro Reali, Elisabetta Rocca

2020Mathematical Models and Methods in Applied Sciences41 citationsDOI

Abstract

In this paper, a phase-field approach for structural topology optimization for a 3D-printing process which includes stress constraints and potentially multiple materials or multiscales is analyzed. First-order necessary optimality conditions are rigorously derived and a numerical algorithm which implements the method is presented. A sensitivity study with respect to some parameters is conducted for a two-dimensional cantilever beam problem. Finally, a possible workflow to obtain a 3D-printed object from the numerical solutions is described and the final structure is printed using a fused deposition modeling (FDM) 3D printer.

Topics & Concepts

Topology optimizationCantileverTopology (electrical circuits)Fused deposition modeling3D printingConstraint (computer-aided design)Sensitivity (control systems)Field (mathematics)Phase (matter)WorkflowStress (linguistics)Stress fieldComputer scienceProcess (computing)Mathematical optimizationFinite element methodMathematicsStructural engineeringMechanical engineeringEngineeringGeometryPhysicsElectronic engineeringPhilosophyPure mathematicsOperating systemCombinatoricsDatabaseLinguisticsQuantum mechanicsTopology Optimization in EngineeringComposite Structure Analysis and OptimizationAdvanced Numerical Analysis Techniques