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Accelerating materials development requires quantitative linkages between processing, microstructure, and properties. In this work, we introduce a framework for mapping microstructure onto a low-dimensional material manifold that is…

Materials Science · Physics 2026-05-20 Simon A. Mason , Megna N. Shah , Jeffrey P. Simmons , Dennis M. Dimiduk , Stephen R. Niezgoda

To obtain fast solutions for governing physical equations in solid mechanics, we introduce a method that integrates the core ideas of the finite element method with physics-informed neural networks and concept of neural operators. This…

The length and time scales of atomistic simulations are limited by the computational cost of the methods used to predict material properties. In recent years there has been great progress in the use of machine learning algorithms to develop…

Computational Physics · Physics 2022-11-03 Alberto Hernandez , Adarsh Balasubramanian , Fenglin Yuan , Simon Mason , Tim Mueller

Mechanical metamaterials often exhibit pattern transformations through instabilities, enabling applications in, e.g., soft robotics, sound reduction, and biomedicine. These transformations and their resulting mechanical properties are…

Soft Condensed Matter · Physics 2025-09-23 Fleur Hendriks , Vlado Menkovski , Martin Doškář , Marc G. D. Geers , Kevin Verbeek , Ondřej Rokoš

From the nano-scale to the macro-scale, biological tissue is spatially heterogeneous. Even when tissue behavior is well understood, the exact subject specific spatial distribution of material properties is often unknown. And, when…

Tissues and Organs · Quantitative Biology 2020-11-02 Emma Lejeune , Bill Zhao

The behavior of materials is influenced by a wide range of phenomena occurring across various time and length scales. To better understand the impact of microstructure on macroscopic response, multiscale modeling strategies are essential.…

This paper investigates the structure-property relations of thin-walled lattices under dynamic longitudinal compression, characterized by their cross-sections and heights. These relations elucidate the interactions of different geometric…

Machine Learning · Computer Science 2022-12-22 Junyan He , Shashank Kushwaha , Diab Abueidda , Iwona Jasiuk

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…

Cells self-organize into functional, ordered structures during tissue morphogenesis, a process that is evocative of colloidal self-assembly into engineered soft materials. Understanding how inter-cellular mechanical interactions may drive…

Mechanical metamaterials are periodic lattice structures with complex unit cell architectures that can achieve extraordinary mechanical properties beyond the capability of bulk materials. A new class of metamaterials is proposed, whose…

Applied Physics · Physics 2022-07-22 Marius Wagner , Fabian Schwarz , Nick Huber , Lena Geistlich , Henning Galinski , Ralph Spolenak

A computer simulation has to be fast to be helpful, if it is employed to study the behavior of a multicomponent dynamic system. This paper discusses modeling concepts and algorithmic techniques useful for creating such fast simulations.…

Data Structures and Algorithms · Computer Science 2007-05-23 Boris D. Lubachevsky

The present work provides a profound analytical and numerical analysis of the material properties of SFRC on the mesoscale as well as the resulting correlation structure taking into account the probabilistic characteristics of the fiber…

Computational Engineering, Finance, and Science · Computer Science 2020-09-01 Natalie Rauter , Rolf Lammering

The advancements in additive manufacturing (AM) technology have allowed for the production of geometrically complex parts with customizable designs. This versatility benefits large-scale space-frame structures, as the individual design of…

Computational Engineering, Finance, and Science · Computer Science 2023-12-05 Oguz Oztoprak , Alexander Paolini , Pierluigi D'Acunto , Ernst Rank , Stefan Kollmannsberger

The revolutionary advancements in metal additive manufacturing have enabled the production of alloy-based lattice structures with complex geometrical features and high resolutions. This has encouraged the development of nonlinear material…

Computational Engineering, Finance, and Science · Computer Science 2024-09-27 Hooman Danesh , Lisamarie Heußen , Francisco J. Montáns , Stefanie Reese , Tim Brepols

We propose an algorithm for the computational homogenization of locally periodic hyperelastic structures undergoing large deformations due to external quasi-static loading. The algorithm performs clustering of macroscopic deformations into…

Numerical Analysis · Mathematics 2026-02-26 Vladimír Lukeš , Eduard Rohan

We present an adaptive reduced-order model for the efficient time-resolved simulation of fluid-structure interaction problems with complex and non-linear deformations. The model is based on repeated linearizations of the structural balance…

Fluid Dynamics · Physics 2020-04-13 Ali Thari , Vito Pasquariello , Niels Aage , Stefan Hickel

This work is directed to uncertainty quantification of homogenized effective properties for composite materials with complex, three dimensional microstructure. The uncertainties arise in the material parameters of the single constituents as…

Machine Learning · Computer Science 2021-10-27 Alexander Henkes , Ismail Caylak , Rolf Mahnken

The heterogeneous micromechanical properties of biological tissues have profound implications across diverse medical and engineering domains. However, identifying full-field heterogeneous elastic properties of soft materials using…

Numerical Analysis · Mathematics 2025-07-09 Wensi Wu , Mitchell Daneker , Kevin T. Turner , Matthew A. Jolley , Lu Lu

To leverage advancements in machine learning for metallic materials design and property prediction, it is crucial to develop a data-reduced representation of metal microstructures that surpasses the limitations of current physics-based…

We present a two-scale topology optimization framework for the design of macroscopic bodies with an optimized elastic response, which is achieved by means of a spatially-variant cellular architecture on the microscale. The chosen spinodoid…

Computational Engineering, Finance, and Science · Computer Science 2021-05-21 Li Zheng , Siddhant Kumar , Dennis M. Kochmann
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