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Deep Material Network (DMN) has recently emerged as a data-driven surrogate model for heterogeneous materials. Given a particular microstructural morphology, the effective linear and nonlinear behaviors can be successfully approximated by…

Computational Engineering, Finance, and Science · Computer Science 2023-12-15 Tianyi Li

This paper extends the deep material network (DMN) proposed by Liu et al. (2019) to tackle general 3-dimensional (3D) problems with arbitrary material and geometric nonlinearities. It discovers a new way of describing multiscale…

Computational Engineering, Finance, and Science · Computer Science 2020-07-07 Zeliang Liu , C. T. Wu

Deep Material Networks (DMNs) are structure-preserving, mechanistic machine learning models that embed micromechanical principles into their architectures, enabling strong extrapolation capabilities and significant potential to accelerate…

Machine Learning · Computer Science 2026-02-10 Xiaolong He , Haoyan Wei , Wei Hu , Henan Mao , C. T. Wu

In this paper, a new data-driven multiscale material modeling method, which we refer to as deep material network, is developed based on mechanistic homogenization theory of representative volume element (RVE) and advanced machine learning…

Computational Engineering, Finance, and Science · Computer Science 2019-01-04 Zeliang Liu , C. T. Wu , M. Koishi

A fundamental issue in multiscale materials modeling and design is the consideration of traction-separation behavior at the interface. By enriching the deep material network (DMN) with cohesive layers, the paper presents a novel data-driven…

Materials Science · Physics 2020-02-19 Zeliang Liu

Multiscale simulations are indispensable for connecting microstructural features to the macroscopic behavior of polycrystalline materials, but their high computational demands limit their practicality. Deep material networks (DMNs) have…

Computational Engineering, Finance, and Science · Computer Science 2025-02-05 Ting-Ju Wei , Tung-Huan Su , Chuin-Shan Chen

In this work, we propose a fully coupled multiscale strategy for components made from short fiber reinforced composites, where each Gauss point of the macroscopic finite element model is equipped with a deep material network (DMN) which…

Computational Engineering, Finance, and Science · Computer Science 2021-09-24 Sebastian Gajek , Matti Schneider , Thomas Böhlke

Despite the increasing importance of strain localization modeling (e.g., failure analysis) in computer-aided engineering, there is a lack of effective approaches to capturing relevant material behaviors consistently across multiple length…

Computational Engineering, Finance, and Science · Computer Science 2021-06-16 Zeliang Liu

In the paper, we present an integrated data-driven modeling framework based on process modeling, material homogenization, mechanistic machine learning, and concurrent multiscale simulation. We are interested in the injection-molded short…

Computational Engineering, Finance, and Science · Computer Science 2020-03-24 Zeliang Liu , Haoyan Wei , Tianyu Huang , C. T. Wu

Machine learning surrogate models have emerged as a promising approach for accelerating multiscale materials simulations while preserving predictive fidelity. Among them, the Orientation-aware Interaction-based Deep Material Network (ODMN)…

Computational Engineering, Finance, and Science · Computer Science 2026-04-09 Ting-Ju Wei , Tung-Huan Su , Chuin-Shan Chen

We extend the FE-DMN method to fully coupled thermomechanical two-scale simulations of composite materials. In particular, every Gauss point of the macroscopic finite element model is equipped with a deep material network (DMN). Such a DMN…

Computational Engineering, Finance, and Science · Computer Science 2021-11-30 Sebastian Gajek , Matti Schneider , Thomas Böhlke

Deep kernel learning aims at designing nonlinear combinations of multiple standard elementary kernels by training deep networks. This scheme has proven to be effective, but intractable when handling large-scale datasets especially when the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-01 Mingyuan Jiu , Hichem Sahbi

Mapping and localization, preferably from a small number of observations, are fundamental tasks in robotics. We address these tasks by combining spatial structure (differentiable mapping) and end-to-end learning in a novel neural network…

Computer Vision and Pattern Recognition · Computer Science 2020-05-20 Peter Karkus , Anelia Angelova , Vincent Vanhoucke , Rico Jonschkowski

Aleatoric uncertainties - irremovable variability in microstructure morphology, constituent behavior, and processing conditions - pose a major challenge to developing uncertainty-robust digital twins. We introduce the Variational Deep…

The objective of this paper is to design novel multi-layer neural network architectures for multiscale simulations of flows taking into account the observed data and physical modeling concepts. Our approaches use deep learning concepts…

Numerical Analysis · Mathematics 2018-06-14 Yating Wang , Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Min Wang

Network embedding is the process of learning low-dimensional representations for nodes in a network, while preserving node features. Existing studies only leverage network structure information and focus on preserving structural features.…

Machine Learning · Computer Science 2019-03-29 Conghui Zheng , Li Pan , Peng Wu

We extend the laminate based framework of direct Deep Material Networks (DMNs) to treat suspensions of rigid fibers in a non-Newtonian solvent. To do so, we derive two-phase homogenization blocks that are capable of treating incompressible…

Computational Engineering, Finance, and Science · Computer Science 2024-06-18 Benedikt Sterr , Sebastian Gajek , Andrew Hrymak , Matti Schneider , Thomas Böhlke

We present a general framework for modeling power magnetic materials characteristics using deep neural networks. Magnetic materials represented by multidimensional characteristics (that mimic measurements) are used to train the neural…

Materials Science · Physics 2025-10-10 Paweł Leszczyński , Kamil Kutorasiński , Marcin Szewczyk , Jarosław Pawłowski

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

Nonlinear metamaterials with tailored mechanical properties have applications in engineering, medicine, robotics, and beyond. While modeling their macromechanical behavior is challenging in itself, finding structure parameters that lead to…

Graphics · Computer Science 2023-09-20 Yue Li , Stelian Coros , Bernhard Thomaszewski
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