A phase-field-based graded-material topology optimization with stress constraint-Reference-Cited by-同舟云学术

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

Published:2020-07 Issue:08 Volume:30 Page:1461-1483
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Auricchio Ferdinando¹,Bonetti Elena²,Carraturo Massimo³,Hömberg Dietmar⁴,Reali Alessandro¹,Rocca Elisabetta⁵

Affiliation:

1. Dipartimento di Ingegneria Civile e Architettura (DICAR), Università di Pavia, and IMATI-C.N.R., Via Ferrata 3, I-27100 Pavia, Italy

2. Dipartimento di Matematica “F. Enriques”, Università di Milano, and IMATI-C.N.R., Via Saldini 50, I-20133 Milano, Italy

3. Dipartimento di Ingegneria Civile e Architettura (DICAR), Università di Pavia and Chair of Computational in Engineering, Technical University of Munich, Via Ferrata 3, I-27100 Pavia, Italy

4. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D-10117 Berlin, Germany

5. Dipartimento di Matematica “F. Casorati”, Università di Pavia, and IMATI-C.N.R., Via Ferrata 5, I-27100 Pavia, Italy

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202520500281

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