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The present work proposes an extension of the third medium contact method for solving structural topology optimization problems that involve and exploit self-contact. A new regularization of the void region, which acts as the contact…

Computational Engineering, Finance, and Science · Computer Science 2021-03-15 Gore Lukas Bluhm , Ole Sigmund , Konstantinos Poulios

We propose a neural network-based computational framework for the simultaneous optimization of structural topology, curved layers, and path orientations to achieve strong anisotropic strength in fiber-reinforced thermoplastic composites…

Machine Learning · Computer Science 2025-05-08 Tao Liu , Tianyu Zhang , Yongxue Chen , Weiming Wang , Yu Jiang , Yuming Huang , Charlie C. L. Wang

The failure of a component often is the result of a degradation process that originates with the formation of a crack. Fatigue describes the crack formation in the material under cyclic loading. Activation and deactivation operations of…

Optimization and Control · Mathematics 2013-10-30 Hanno Gottschalk , Sebastian Schmitz

The structural design process for buildings is time-consuming and laborious. To automate this process, structural engineers combine optimization methods with simulation tools to find an optimal design with minimal building mass subject to…

Machine Learning · Computer Science 2020-08-14 Kai-Hung Chang , Chin-Yi Cheng

A cost functional involving the eigenvalues of an elastic structure, that is described by a multi-phase-field equation, is optimized. This allows us to handle topology changes and multiple materials. We prove continuity and…

Optimization and Control · Mathematics 2021-10-12 Harald Garcke , Paul Hüttl , Patrik Knopf

Mechanical shock is a common occurrence in various settings, there are two different scenarios for shock protection: catastrophic protection (e.g. car collisions and falls) and routine protection (e.g. shoe soles and shock absorbers for car…

Optimization and Control · Mathematics 2025-01-14 Zizhou Huang , Daniele Panozzo , Denis Zorin

Although extensive efforts have been put into the development of porous scaffolds for bone regeneration, with encouraging results, all porous materials have a common limitation: the inherent lack of strength associated with porosity. Hence,…

Materials Science · Physics 2017-10-13 Sylvain Deville , Eduardo Saiz , Antoni Tomsia

The optimization of geometries for aerodynamic design often relies on a large number of expensive simulations to evaluate and iteratively improve the geometries. It is possible to reduce the number of simulations by providing a starting…

Computational Engineering, Finance, and Science · Computer Science 2024-09-23 Thomas Wagenaar , Simone Mancini , Andrés Mateo-Gabín

The aim of this paper is the isotropic design of a hybrid morphology dedicated to 3-axis machining applications. It is necessary to ensure the feasibility of continuous, singularity-free trajectories, as well as a good manipulability in…

Robotics · Computer Science 2007-07-16 Damien Chablat , Philippe Wenger , Jorge Angeles

Reliability-based design optimization (RBDO) is traditionally formulated as a nested optimization and reliability problem. Although surrogate models are generally employed to improve efficiency, the approach remains computationally…

Computation · Statistics 2026-04-08 M. Moustapha , B. Sudret

The tenfold classification provides a powerful framework for organizing topological phases of matter based on symmetry and spatial dimension. However, it does not offer a systematic method for transitioning between classes or engineering…

Mesoscale and Nanoscale Physics · Physics 2025-08-08 Amit Goft , Eric Akkermans

Bioprinting is an enabling biofabrication technique to create heterogeneous tissue constructs according to patient-specific geometries and compositions. Optimization of bioinks as per requirements for specific tissue applications is a…

Materials Science · Physics 2022-10-25 Abhinaba Banerjee , Sudipto Datta , Amit Roy Chowdhury , Pallab Datta

This paper implements topology optimization on two-dimensional manifolds. In this paper, the material interpolation is implemented on a material parameter in the partial differential equation used to describe a physical field, when this…

Computational Physics · Physics 2020-04-22 Yongbo Deng , Zhenyu Liu , Jan G. Korvink

In this experience report, we apply deep active learning to the field of design optimization to reduce the number of computationally expensive numerical simulations. We are interested in optimizing the design of structural components, where…

Machine Learning · Computer Science 2024-03-21 Jens Decke , Christian Gruhl , Lukas Rauch , Bernhard Sick

Topology optimization (TO) has experienced a dramatic development over the last decades aided by the arising of metamaterials and additive manufacturing (AM) techniques, and it is intended to achieve the current and future challenges. In…

A phase field approach for structural topology optimization with application to additive manufacturing is analyzed. The main novelty is the penalization of overhangs (regions of the design that require underlying support structures during…

Optimization and Control · Mathematics 2023-03-14 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

We derive a model for the optimization of the bending and torsional rigidities of non-homogeneous elastic rods. This is achieved by studying a sharp interface shape optimization problem with perimeter penalization, that treats both…

Optimization and Control · Mathematics 2024-05-01 Patrick Dondl , Alberto Maione , Steve Wolff-Vorbeck

We study the plastic yielding of disordered media using the perfectly plastic random fuse model. The yield surfaces are shown to be different from those obtained minimizing the sum of the local yield thresholds, i.e. the so-called minimum…

Statistical Mechanics · Physics 2015-05-14 Clara B. Picallo , Juan M. Lopez , Stefano Zapperi , Mikko J. Alava

Mechanical components that are exposed to cyclic mechanical loading fail at loads that are well below the ultimate tensile strength. This process is known as fatigue. The failure time, that is the time when a first crack forms, is highly…

Optimization and Control · Mathematics 2016-02-29 L. Bittner , H. Gottschalk , M. Gröger , N. Moch , M. Saadi , S. Schmitz

This study presents a generative optimization framework that builds on a fine-tuned diffusion model and reward-directed sampling to generate high-performance engineering designs. The framework adopts a parametric representation of the…

Machine Learning · Computer Science 2025-08-05 Hadi Keramati , Patrick Kirchen , Mohammed Hannan , Rajeev K. Jaiman
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