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This work concerns a structural topology optimisation problem for 4D printing based on the phase field approach. The concept of 4D printing as a targeted evolution of 3D printed structures can be realised in a two-step process. One first…

Optimization and Control · Mathematics 2023-05-03 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

Efficient optimization of topology and raster angle has shown unprecedented enhancements in the mechanical properties of 3D printed materials. Topology optimization helps reduce the waste of raw material in the fabrication of 3D printed…

Graphics · Computer Science 2022-06-08 Ahmed Moter , Mohamed Abdelhamid , Aleksander Czekanski

In the industrial practice, additive manufacturing processes are often followed by post-processing operations such as subtractive machining, milling, etc. to achieve the desired surface quality and dimensional accuracy. Hence, a given part…

Computational Engineering, Finance, and Science · Computer Science 2019-07-04 Christian Altenhofen , Marco Attene , Oliver Barrowclough , Michele Chiumenti , Marco Livesu , Federico Marini , Massimiliano Martinelli , Vibeke Skytt , Lorenzo Tamellini

This paper presents a density-based topology optimization approach considering additive manufacturing limitations. The presented method considers the minimum size of parts, the minimum size of cavities, the inability of printing overhanging…

Computational Engineering, Finance, and Science · Computer Science 2022-04-18 Prabhat Kumar , Eduardo Fernández

In topology optimization, the treatment of stress constraints for very large scale problems has so far not been tractable due to the failure of robust agglomeration methods, i.e. their inability to accurately handle the locality of the…

Computational Engineering, Finance, and Science · Computer Science 2020-12-23 Gustavo Assis da Silva , Niels Aage , André Teófilo Beck , Ole Sigmund

A topology optimization problem in a phase field setting is considered to obtain rigid structures, which are resilient to external forces and constructable with additive manufacturing. Hence, large deformations of overhangs due to gravity…

Optimization and Control · Mathematics 2026-02-24 Luise Blank , Maximilian Urmann

This paper presents a multicomponent topology optimization method for designing structures assembled from additively-manufactured components, considering anisotropic material behavior for each component due to its build orientation,…

Computational Engineering, Finance, and Science · Computer Science 2019-11-26 Yuqing Zhou , Tsuyoshi Nomura , Kazuhiro Saitou

This paper presents a synthesis approach in a density-based topology optimization setting to design large deformation compliant mechanisms for inducing desired strains in biological tissues. The modelling is based on geometrical…

Computational Engineering, Finance, and Science · Computer Science 2021-03-26 P. Kumar , C. Schmidleithner , N. B. Larsen , O. Sigmund

The paper presents a topology optimization approach that designs an optimal structure, called a self-supporting structure, which is ready to be fabricated via additive manufacturing without the usage of additional support structures. Such…

Computational Engineering, Finance, and Science · Computer Science 2017-08-25 Dengyang Zhao , Ming Li , Yusheng Liu

A topology optimization formulation including a model of the layer-by-layer additive manufacturing (AM) process is considered. Defined as a multi-objective minimization problem, the formulation accounts for the performance and cost of both…

Numerical Analysis · Mathematics 2022-06-29 G. A. Haveroth , C-J. Thore , M. R. Correa , R. F. Ausas , S. Jakobsson , J. A. Cuminato , A. Klarbring

Additive manufacturing is a free-form manufacturing technique in which parts are built in a layer-by-layer manner. Laser powder bed fusion is one of the popular techniques used to fabricate metal parts. However, it induces residual stress…

Computational Engineering, Finance, and Science · Computer Science 2021-05-07 Takao Miki , Takayuki Yamada

We propose a neural network-based approach to topology optimization that aims to reduce the use of support structures in additive manufacturing. Our approach uses a network architecture that allows the simultaneous determination of an…

Machine Learning · Computer Science 2022-10-05 Hongrui Chen , Aditya Joglekar , Kate S. Whitefoot , Levent Burak Kara

Multi-material structural topology and shape optimization problems are formulated within a phase field approach. First-order conditions are stated and the relation of the necessary conditions to classical shape derivatives are discussed. An…

Optimization and Control · Mathematics 2013-12-10 Luise Blank , M. Hassan Farshbaf-Shaker , Harald Garcke , Christoph Rupprecht , Vanessa Styles

A multiobjective optimization method is proposed for obtaining the optimal plane trusses simultaneously for various aspect ratios of the initial ground structure as a set of Pareto optimal solutions generated through a single optimization…

Optimization and Control · Mathematics 2023-08-01 Makoto Ohsaki , Saku Aoyagi , Kazuki Hayashi

This paper proposes a self-support topology optimization method that considers distortion to improve the manufacturability of additive manufacturing. First, a self-support constraint is proposed that combines an overhang angle constraint…

Computational Engineering, Finance, and Science · Computer Science 2022-12-15 Takao Miki

The complex physics and numerous failure modes of structural impact creates challenges when designing for impact resistance. While simple geometries of layered material are conventional, advances in 3D printing and additive manufacturing…

Optimization and Control · Mathematics 2023-01-04 Andrew Akerson

A support structure is required to successfully create structural parts in the powder bed fusion process for additive manufacturing. In this study, we present the topology optimization of a support structure that improves the heat…

Computational Engineering, Finance, and Science · Computer Science 2022-01-19 Takao Miki , Shinji Nishiwaki

Although stress-constrained topology optimization has been extensively studied in structural design, the development of optimization frameworks to enable the creation of metamaterials with optimal mechanical performance is still an open…

Computational Engineering, Finance, and Science · Computer Science 2026-02-24 Yanda Chen , Sebastian Rodriguez , Beatriz Moya , Francisco Chinesta

This paper presents a novel phase-field-based methodology for solving minimum compliance problems in topology optimization under fixed external loads and body forces. The proposed framework characterizes the optimal structure through an…

Optimization and Control · Mathematics 2025-07-23 Huangxin Chen , Piaopiao Dong , Dong Wang , Xiao-Ping Wang

Metal additive manufacturing (AM) processes often fabricate a near-net shape that includes the as-designed part as well as the sacrificial support structures that need to be machined away by subtractive manufacturing (SM), for instance…

Computational Engineering, Finance, and Science · Computer Science 2021-08-09 Amir M. Mirzendehdel , Morad Behandish , Saigopal Nelaturi
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