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This paper introduces a new nonlinear topology optimization framework which employs porohyperelasticity for providing computational design of pneumatic soft actuators. Density-based topology optimization is used with the objective of…

Soft Condensed Matter · Physics 2025-05-15 Sumit Mehta , Konstantinos Poulios

Magnetic solitons are nonlinear, local excitations in magnetic systems. In this study, we theoretically and numerically investigate the properties and generation of one-dimensional (1D) topologically trivial magnetic solitons in…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Kai-Tao Huang , X. S. Wang

The magnetization evolution of the free layer in an orthogonal spin-torque device is studied based on a macrospin model. The trajectory of magnetization vector under various conditions has shown rich nonlinear properties. The phase diagram…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Yuan Hui , Zheng Yang , Hao Yu

Topological measurements are increasingly being accepted as an important tool for quantifying complex structures. In many applications, these structures can be expressed as nodal domains of real-valued functions and are obtained only…

Probability · Mathematics 2020-05-29 Konstantin Mischaikow , Thomas Wanner

In this paper, a topology optimization framework utilizing automatic differentiation is presented as an efficient way for solving 2D density-based topology optimization problem by calculating gradients through the fully differentiable…

Computational Engineering, Finance, and Science · Computer Science 2020-09-23 Liang Chen , Herman M. H. Shen

The design of specified nonlinear mechanical responses into a structure or material is a highly sought after capability, which would have a significant impact in areas such as wave tailoring in metamaterials, impact mitigation, soft…

Materials Science · Physics 2023-12-01 Brianna MacNider , Ian Frankel , Kai Qian , Alan Pozos , Aketzali Santos , H. Alicia Kim , Nicholas Boechler

The goal of this paper is to improve the performance of an electric motor by modifying the geometry of a specific part of the iron core of its rotor. To be more precise, the objective is to smooth the rotation pattern of the rotor. A shape…

Optimization and Control · Mathematics 2018-10-26 Peter Gangl , Ulrich Langer , Antoine Laurain , Houcine Meftahi , Kevin Sturm

Dynamical topological solitons are studied in classical two-dimensional Heisenberg easy-axis ferromagnets. The properties of such solitons are treated both analytically in the continuum limit and numerically by spin dynamics simulations of…

Strongly Correlated Electrons · Physics 2007-05-23 Denis D. Sheka , Christian Schuster , Boris A. Ivanov , Franz G. Mertens

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

Topology optimization (TO) is a method of deriving an optimal design that satisfies a given load and boundary conditions within a design domain. This method enables effective design without initial design, but has been limited in use due to…

Machine Learning · Computer Science 2023-06-06 Seungyeon Shin , Dongju Shin , Namwoo Kang

Topology optimization is computationally demanding that requires the assembly and solution to a finite element problem for each material distribution hypothesis. As a complementary alternative to the traditional physics-based topology…

Machine Learning · Computer Science 2018-08-23 Saurabh Banga , Harsh Gehani , Sanket Bhilare , Sagar Patel , Levent Kara

We study current-induced dynamics of spin textures in thin magnetic nanowires. We derive effective equations of motion describing the dynamics of the domain-wall soft modes associated with topological defects. Because the magnetic domain…

Mesoscale and Nanoscale Physics · Physics 2016-03-30 O. A. Tretiakov , Ar. Abanov

Particle flow processing is widely employed across various industrial applications and technologies. Due to the complex interactions between particles and fluids, designing effective devices for particle flow processing is challenging. In…

Optimization and Control · Mathematics 2024-12-30 Chih-Hsiang Chen , Kentaro Yaji

We propose a model-based, automated, bottom-up approach for design, which is applicable to various physical domains, but in this work we focus on the electrical domain. This bottom-up approach is based on a meta-topology in which each link…

Optimization and Control · Mathematics 2023-02-17 Ion Matei , Maksym Zhenirovskyy , John Maxwell , Johan de Kleer

Topology optimization is used to systematically design contact-aided thermo-mechanical regulators, i.e. components whose effective thermal conductivity is tunable by mechanical deformation and contact. The thermo-mechanical interactions are…

Computational Engineering, Finance, and Science · Computer Science 2024-06-04 Anna Dalklint , Joe Alexandersen , Andreas Henrik Frederiksen , Konstantinos Poulios , Ole Sigmund

Conventional magneto-static finite element analysis of electrical machine design is time-consuming and computationally expensive. Since each machine topology has a distinct set of parameters, design optimization is commonly performed…

Machine Learning · Computer Science 2022-10-05 Vivek Parekh , Dominik Flore , Sebastian Schöps

Topology optimization is a valuable tool in engineering, facilitating the design of optimized structures. However, topological changes often require a remeshing step, which can become challenging. In this work, we propose an isogeometric…

Numerical Analysis · Mathematics 2026-05-01 Guilherme Henrique Teixeira , Nepomuk Krenn , Peter Gangl , Benjamin Marussig

Topological data analysis (TDA) is a versatile tool that can be used to extract scientific knowledge from complex pattern formation processes. However, the physics correspondence between the features obtained from TDA and pattern dynamics…

Pattern Formation and Solitons · Physics 2024-07-09 Yoh-ichi Mototake , Masaichiro Mizumaki , Kazue Kudo , Kenji Fukumizu

In the current industry, the development of optimized mechanical components able to satisfy the customer requirements evolves quickly. Therefore, companies are asked for efficient solutions to improve their products in terms of stiffness…

Computational Engineering, Finance, and Science · Computer Science 2023-07-31 Rafael Merli , Antolín Martínez-Martínez , Juan José Ródenas , Marc Bosch-Galera , Enrique Nadal

The modeling of electric machines and power transformers typically involves systems of nonlinear magnetostatics or -quasistatics, and their efficient and accurate simulation is required for the reliable design, control, and optimization of…

Numerical Analysis · Mathematics 2024-08-23 Herbert Egger , Felix Engertsberger , Bogdan Radu