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Related papers: Phase field topology optimisation for 4D printing

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We analyze actual methods that generate smooth frame fields both in 2D and in 3D. We formalize the 2D problem by representing frames as functions (as it was done in 3D), and show that the derived optimization problem is the one that…

Graphics · Computer Science 2015-07-14 Nicolas Ray , Dmitry Sokolov

This manuscript presents an approach for simultaneously optimizing the connectivity and elevation of grid-shell structures acting in pure compression (or pure tension) under the combined effects of a prescribed external loading and the…

Computational Engineering, Finance, and Science · Computer Science 2025-05-14 Helen E. Fairclough , Karol Bolbotowski , Linwei He , Andrew Liew , Matthew Gilbert

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

This paper presents a density-based topology optimization method for designing three-dimensional (3D) compliant mechanisms and loadbearing structures with design-dependent pressure loading. Instead of interface-tracking techniques, the…

Computational Engineering, Finance, and Science · Computer Science 2021-06-22 Prabhat Kumar , Matthijs Langelaar

The work explores a specific scenario for structural computational optimization based on the following elements: (a) a relaxed optimization setting considering the ersatz (bi-material) approximation, (b) a treatment based on a nonsmoothed…

Computational Engineering, Finance, and Science · Computer Science 2021-08-06 J. Oliver , D. Yago , J. Cante , O. Lloberas-Valls

We present a new framework for solving general topology optimization (TO) problems that find an optimal material distribution within a design space to maximize the performance of a structure while satisfying design constraints. These…

Numerical Analysis · Mathematics 2024-11-20 Zisheng Ye , Wenxiao Pan

The main difference between 3D and 4D printed structures is one extra dimension that is smart evolution over time. However, currently, there is no general formula to model and predict this extra dimension. Here, by starting from fundamental…

Applied Physics · Physics 2018-10-25 Farhang Momeni , Jun Ni

In additive manufacturing, the fabrication sequence has a large influence on the quality of manufactured components. While planning of the fabrication sequence is typically performed after the component has been designed, recent…

Optimization and Control · Mathematics 2024-04-23 Weiming Wang , Kai Wu , Fred van Keulen , Jun Wu

Magnetic soft robots embedded with hard magnetic particles enable untethered actuation via external magnetic fields, offering remote, rapid, and precise control, which is highly promising for biomedical applications. However, designing such…

Robotics · Computer Science 2025-07-15 Liwei Wang

We present a dynamic model to study ordering of particles on arbitrary curved surfaces. Thereby the particles are represented as maxima in a density field and a surface partial differential equation for the density field is solved to the…

Materials Science · Physics 2010-03-02 Rainer Backofen , Axel Voigt , Thomas Witkowski

Soft porous materials, such as biological tissues and soils, are exposed to periodic deformations in a variety of natural and industrial contexts. The detailed flow and mechanics of these deformations have not yet been systematically…

Fluid Dynamics · Physics 2023-06-30 Matilde Fiori , Satyajit Pramanik , Christopher W. MacMinn

Probabilistic denoising diffusion models (DDMs) have set a new standard for 2D image generation. Extending DDMs for 3D content creation is an active field of research. Here, we propose TetraDiffusion, a diffusion model that operates on a…

Computer Vision and Pattern Recognition · Computer Science 2024-08-12 Nikolai Kalischek , Torben Peters , Jan D. Wegner , Konrad Schindler

Formation of the intermediate phase patterns in the thin-film co-deposition process is simulated using the Stochastic Kinetic Mean-Field method and Monte Carlo. Three basic morphologies of the 2D sections are distinguished: (1) spots…

Materials Science · Physics 2024-12-05 Serhii Abakumov , Andriy Gusak

The tolerancing process links the virtual and the real worlds. From the former, tolerances define a variational geometrical language (geometric parameters). From the latter, there are values limiting those parameters. The beginning of a…

Other Computer Science · Computer Science 2010-02-02 Serge Samper , Pierre-Antoine Adragna , Hugues Favreliere , Maurice Pillet

This paper presents a Material Mask Overlay topology optimization approach with the improved material assignment at the element level for achieving the desired discreteness of the optimized designs for pressure-loaded problems. Hexagonal…

Computational Engineering, Finance, and Science · Computer Science 2022-10-17 Prabhat Kumar , Anupam Saxena

Phase separation of multicomponent liquid mixtures plays an integral part in many processes ranging from industry to cellular biology. In many cases the morphology of coexisting phases is crucially linked to the function of the separated…

Soft Condensed Matter · Physics 2020-11-25 Sheng Mao , Milena S. Chakraverti-Wuerthwein , Hunter Gaudio , Andrej Kosmrlj

A method to create a highly homogeneous magnetic field by applying topology optimized, additively manufactured shimming elements is investigated. The topology optimization algorithm can calculate a suitable permanent and nonlinear soft…

Applied Physics · Physics 2018-04-17 C. Huber , M. Goertler , F. Bruckner , C. Abert , I. Teliban , M. Groenefeld , D. Suess

Feedstock deformation during 3D printing of continuous fiber composites is a critical challenge in path planning and a main driver in the generation of manufacturing defects. The proposed work addressed the feedstock deformation during the…

Computational Engineering, Finance, and Science · Computer Science 2026-05-06 Chady Ghnatios , Kazem Fayazbakhsh

Topology Optimization (TO), which maximizes structural robustness under material weight constraints, is becoming an essential step for the automatic design of mechanical parts. However, existing TO algorithms use the Finite Element Analysis…

Robotics · Computer Science 2022-04-14 Zherong Pan , Xifeng Gao , Kui Wu

Level set-based immersed boundary techniques operate on nonconforming meshes while providing a crisp definition of interface and external boundaries. In such techniques, an isocontour of a level set field interpolated from nodal level set…

Computational Engineering, Finance, and Science · Computer Science 2020-07-15 Jorge L. Barrera , Kurt Maute