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We developed an inverse design framework enabling automated generation of stable multi-component crystal structures by optimizing the formation energies in the latent space based on reversible crystal graphs with continuous representation.…

Materials Science · Physics 2021-04-21 Teng Long , Yixuan Zhang , Nuno M. Fortunato , Chen Shen , Mian Dai , Hongbin Zhang

By means of the inverse techniques we analyse the evolution of purely spin-1/2 systems in homogeneous magnetic fields as well as the generation of exact solutions. Some ``evolution loops'', dynamical processes for which any state evolves…

Quantum Physics · Physics 2008-10-13 David J. Fernandez C. , Oscar Rosas-Ortiz

This work presents a framework for parametric reduction in FEM, where geometry is controlled by a parameter without altering material properties or stress states. The inverse determinant in the weak form is expanded as a power series, with…

Numerical Analysis · Mathematics 2025-04-03 Tiago Martins , Alessandra Vizzaccaro , Daniel Rixen

We leverage the snap-through response of a bistable origami mechanism to induce a discontinuous evolution of drag with flow speed. The transition between equilibrium states is passively actuated by airflow, and we demonstrate that large…

Fluid Dynamics · Physics 2024-11-27 Rishabh Nain , Tom Marzin , Sophie Ramananarivo

Inverse design of high-resolution and fine-detailed 3D lightweight mechanical structures is notoriously expensive due to the need for vast computational resources and the use of very fine-scaled complex meshes. Furthermore, in designing for…

Quantum speed limits for two time-evolved states are introduced and applied to overlap between true dynamics and approximate dynamics. In particular, we point out that the present idea is suitable for invariant-based inverse engineering,…

Quantum Physics · Physics 2023-02-01 Takuya Hatomura

Inverse design enables automating the discovery and optimization of devices achieving performance significantly exceeding that of traditional human-engineered designs. However, existing methodologies to inverse-design electromagnetic…

Computational Physics · Physics 2026-01-30 Jui-Hung Sun , Mohamed Elsawaf , Yifei Zheng , Ho-Chun Lin , Chia Wei Hsu , Constantine Sideris

Shape invariance is a powerful solvability condition, that allows for complete knowledge of the energy spectrum, and eigenfunctions of a system. After a short introduction into the deformation quantization formalism, this paper explores the…

Quantum Physics · Physics 2013-05-03 Constantin Rasinariu

Following on Part I of this work series on local kirigami mechanics, we present a study of a discretely creased mechanism as a model to investigate the mechanics of the basic geometric building block of kirigami--the e-cone. We consider an…

Soft Condensed Matter · Physics 2022-03-14 Souhayl Sadik , Martin G. Walker , Marcelo A. Dias

For centuries, human civilizations devised metal forming techniques to make tools and items; yet, customized metal forming remains costly and intricate. Laser-forming origami} (lasergami) is a metal forming process where a laser beam cuts…

Robotics · Computer Science 2021-12-01 Yue Hao , Peiwen J. Ma , Huaishu Peng , Edwin A. Peraza Hernandez , Jyh-Ming Lien

Complex non-local behavior makes designing high efficiency and multifunctional metasurfaces a significant challenge. While using libraries of meta-atoms provide a simple and fast implementation methodology, pillar to pillar interaction…

A long-standing challenge in impact mitigation is the development of versatile and omnifarious protective structures capable of encompassing a wide spectrum of scenarios, for example, ranging from low-speed pedestrian impacts to high-speed…

Programmable structures are systems whose undeformed geometries and material property distributions are deliberately designed to achieve prescribed deformed configurations under specific loading conditions. Inflatable structures are a…

Computational Engineering, Finance, and Science · Computer Science 2025-08-19 Sara Karimi , Nikolaos N. Vlassis

Kirigami are part of the larger class of mechanical metamaterials, which exhibit exotic properties. This article focuses on rhombi-slits, which is a specific type of kirigami. A nonlinear kinematic model was previously proposed as a second…

Numerical Analysis · Mathematics 2025-11-14 Frederic Marazzato

Spinodal metamaterials, with architectures inspired by natural phase-separation processes, have presented a significant alternative to periodic and symmetric morphologies when designing mechanical metamaterials with extreme performance.…

Computational Engineering, Finance, and Science · Computer Science 2025-01-10 Prakash Thakolkaran , Michael A. Espinal , Somayajulu Dhulipala , Siddhant Kumar , Carlos M. Portela

Isotropic pairwise interactions that promote the self assembly of complex particle morphologies have been discovered by inverse design strategies derived from the molecular coarse-graining literature. While such approaches provide an avenue…

Statistical Mechanics · Physics 2019-10-15 Beth A. Lindquist , Ryan B. Jadrich , Michael P. Howard , Thomas M. Truskett

We review reformulation of the map from tensor product of crystals to the rigged configurations in terms of the energy function of affine crystals. Especially, we give intuitive picture of the inverse scattering formalism for the periodic…

Quantum Algebra · Mathematics 2009-04-03 Reiho Sakamoto

This work presents an approach to the inverse design of scattering systems by modifying the transmission matrix using reinforcement learning. We utilize Proximal Policy Optimization to navigate the highly non-convex landscape of the object…

Optics · Physics 2025-06-17 Yuhao Kang

Structures and/or materials with engineered functionality, capable of achieving targeted mechanical responses reacting to changes in external excitation, have various potential engineering applications, e.g. aerospace, oceanographic…

Applied Physics · Physics 2019-03-26 Jie Liu , Haifeng Ou , Rong Zeng , Wei Wei , Junfeng He , Jiaxi Zhou , Wei Wei , Kai Long , Guilin Wen , Yi Min Xie

It is well-known that the Kresling pattern of congruent triangles can be arranged either circularly on a cylinder of revolution or in a helical way. In both cases the resulting cylindrical structures are multi-stable. We generalize these…

Computational Geometry · Computer Science 2022-03-22 Georg Nawratil