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The design of physics-augmented neural networks (PANNs) for the purposes of constitutive modeling has received considerable attention as of late for a variety of material behaviors. Here, we revisit the classical framework of isotropic…

Mathematical Physics · Physics 2026-05-20 Maximilian P. Wollner , Dominik K. Klein , Herbert Baaser , Gerhard A. Holzapfel , Patrizio Neff

Recently, machine learning has been introduced in the inverse design of physical devices, i.e., the automatic generation of device geometries for a desired physical response. In particular, generative adversarial networks have been proposed…

Optics · Physics 2025-02-18 Timo Gahlmann , Philippe Tassin

Incompressible nonlinearly hyperelastic materials are rarely simulated in Finite Element numerical experiments as being perfectly incompressible because of the numerical difficulties associated with globally satisfying this constraint. Most…

Soft Condensed Matter · Physics 2020-09-07 Aisling Ni Annaidh , Michel Destrade , Michael D. Gilchrist , Jerry G. Murphy

From biological organs to soft robotics, highly deformable materials are essential components of natural and engineered systems. These highly deformable materials can have heterogeneous material properties, and can experience heterogeneous…

Machine Learning · Computer Science 2023-08-31 Quan Nguyen , Emma Lejeune

Designing microwave absorbers with customized spectrums is an attractive topic in both scientific and engineering communities. However, due to the massive number of design parameters involved, the design process is typically time-consuming…

Applied Physics · Physics 2023-11-27 Xiangxu He , Xiaohan Cui , C. T. Chan

We examine the optical properties of a system of nano and micro particles of varying size, shape, and material (including metals and dielectrics, and sub-wavelength and super-wavelength regimes). Training data is generated by numerically…

Many important multi-component crystalline solids undergo mechanochemical spinodal decomposition: a phase transformation in which the compositional redistribution is coupled with structural changes of the crystal, resulting in dynamically…

Computational Engineering, Finance, and Science · Computer Science 2023-07-19 Xiaoxuan Zhang , Krishna Garikipati

A fundamental challenge in the design of photonic devices, and electromagnetic structures more generally, is the optimization of their overall architecture to achieve a desired response. To this end, topology or shape optimizers based on…

Inverse design in science and engineering involves determining optimal design parameters that achieve desired performance outcomes, a process often hindered by the complexity and high dimensionality of design spaces, leading to significant…

Machine Learning · Computer Science 2025-02-24 Luka Grbcic , Juliane Müller , Wibe Albert de Jong

Metamaterials are engineered materials composed of specially designed unit cells that exhibit extraordinary properties beyond those of natural materials. Complex engineering tasks often require heterogeneous unit cells to accommodate…

Machine Learning · Computer Science 2025-11-06 Hongrui Chen , Liwei Wang , Levent Burak Kara

We introduce and study a new inverse problem for antiplane shear in elastic bodies with strain-gradient interfaces. The setting is a homogeneous isotropic elastic body containing an inclusion separated by a thin interface endowed with…

Analysis of PDEs · Mathematics 2025-09-19 Govanni Granados , Jeremy L. Marzuola , Casey Rodriguez

This paper presents a novel framework of neural networks for isotropic hyperelasticity that enforces necessary physical and mathematical constraints while simultaneously satisfying the universal approximation theorem. The two key…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 Gian-Luca Geuken , Patrick Kurzeja , David Wiedemann , Jörn Mosler

Functional soft materials, comprising colloidal and molecular building blocks that self-organize into complex structures as a result of their tunable interactions, enable a wide array of technological applications. Inverse methods provide…

Soft Condensed Matter · Physics 2020-04-13 Zachary M. Sherman , Michael P. Howard , Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

An image-based deep learning framework is developed in this paper to predict damage and failure in microstructure-dependent composite materials. The work is motivated by the complexity and computational cost of high-fidelity simulations of…

Machine Learning · Computer Science 2022-06-07 Reza Sepasdar , Anuj Karpatne , Maryam Shakiba

Optical devices lie at the heart of most of the technology we see around us. When one actually wants to make such an optical device, one can predict its optical behavior using computational simulations of Maxwell's equations. If one then…

Machine Learning · Computer Science 2022-02-09 Joeri Lenaerts , Hannah Pinson , Vincent Ginis

With the growing demand for novel materials, machine learning-driven inverse design methods face significant challenges in reconciling the high-dimensional materials composition space with limited experimental data. Existing approaches…

Machine Learning · Computer Science 2025-07-02 Yeyong Yu , Xilei Bian , Jie Xiong , Xing Wu , Quan Qian

The discovery of advanced materials is the cornerstone of human technological development and progress. The structures of materials and their corresponding properties are essentially the result of a complex interplay of multiple degrees of…

Materials Science · Physics 2025-02-21 Xiao-Qi Han , Xin-De Wang , Meng-Yuan Xu , Zhen Feng , Bo-Wen Yao , Peng-Jie Guo , Ze-Feng Gao , Zhong-Yi Lu

Inverse design of materials with desired properties is currently laborious and heavily relies on intuition of researchers through a trial-and-error process. The massive combinational spaces due to the constituent elements and their…

Computational Physics · Physics 2019-08-22 Yuan Dong , Dawei Li , Chi Zhang , Chuhan Wu , Hong Wang , Ming Xin , Jianlin Cheng , Jian Lin

Active learning has been increasingly applied to screening functional materials from existing materials databases with desired properties. However, the number of known materials deposited in the popular materials databases such as ICSD and…

Inverse design, where we seek to design input variables in order to optimize an underlying objective function, is an important problem that arises across fields such as mechanical engineering to aerospace engineering. Inverse design is…

Machine Learning · Computer Science 2024-03-12 Tailin Wu , Takashi Maruyama , Long Wei , Tao Zhang , Yilun Du , Gianluca Iaccarino , Jure Leskovec
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