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In this work we present a hybrid physics-based and data-driven learning approach to construct surrogate models for concurrent multiscale simulations of complex material behavior. We start from robust but inflexible physics-based…

数值分析 · 数学 2023-02-01 I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

In this contribution, we present a new Materials Knowledge System framework for microstructure-sensitive predictions of effective stress--strain responses in composite materials. The model is developed for composites with a wide range of…

材料科学 · 物理学 2018-12-17 Marat I. Latypov , Laszlo S. Toth , Surya R. Kalidindi

Computational multiscale methods for analyzing and deriving constitutive responses have been used as a tool in engineering problems because of their ability to combine information at different length scales. However, their application in a…

We present a data-driven method to learn stochastic reduced models of complex systems that retain a state-dependent memory beyond the standard generalized Langevin equation (GLE) with a homogeneous kernel. The constructed model naturally…

计算物理 · 物理学 2023-10-31 Pei Ge , Zhongqiang Zhang , Huan Lei

In recent years, significant advancements have been made in computational methods for analyzing masonry structures. Within the Finite Element Method, two primary approaches have gained traction: Micro and Macro Scale modeling, and their…

计算工程、金融与科学 · 计算机科学 2024-09-02 Alejandro Cornejo , Philip Kalkbrenner , Riccardo Rossi , Luca Pelà

This work presents a new constitutive and computational framework based on strain-like internal variables belonging to Sym(3) and two representative rheological configurations. The generalized Maxwell and generalized Kelvin-Voigt models are…

软凝聚态物质 · 物理学 2025-08-21 Chongran Zhao , Hongyan Yuan , Ju Liu

Traditional computational methods, such as the finite element analysis, have provided valuable insights into uncovering the underlying mechanisms of brain physical behaviors. However, precise predictions of brain physics require effective…

机器学习 · 计算机科学 2023-10-18 Jixin Hou , Nicholas Filla , Xianyan Chen , Mir Jalil Razavi , Tianming Liu , Xianqiao Wang

Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

数值分析 · 数学 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

Microstructure--property relationships are key to effective design of structural materials for advanced applications. Advances in computational methods enabled modeling microstructure-sensitive properties using 3D models (e.g., finite…

材料科学 · 物理学 2023-03-20 Guangyu Hu , Marat I. Latypov

In order to optimally design materials, it is crucial to understand the structure-property relations in the material by analyzing the effect of microstructure parameters on the macroscopic properties. In computational homogenization, the…

计算工程、金融与科学 · 计算机科学 2022-08-24 Theron Guo , Ondřej Rokoš , Karen Veroy

Data-driven constitutive modeling with neural networks has received increased interest in recent years due to its ability to easily incorporate physical and mechanistic constraints and to overcome the challenging and time-consuming task of…

计算工程、金融与科学 · 计算机科学 2023-10-06 Jan N. Fuhg , Reese E. Jones , Nikolaos Bouklas

The growing use of composite materials in engineering applications has accelerated the demand for computational methods to accurately predict their complex behavior. Multiscale modeling based on computational homogenization is a potentially…

In the present work, two machine learning based constitutive models for finite deformations are proposed. Using input convex neural networks, the models are hyperelastic, anisotropic and fulfill the polyconvexity condition, which implies…

Data-driven methods have emerged as powerful tools for modeling the responses of complex nonlinear materials directly from experimental measurements. Among these methods, the data-driven constitutive models present advantages in physical…

机器学习 · 计算机科学 2025-05-05 Jihong Wang , Xiaochuan Tian , Zhongqiang Zhang , Stewart Silling , Siavash Jafarzadeh , Yue Yu

Learning controllable and generalizable representation of multivariate data with desired structural properties remains a fundamental problem in machine learning. In this paper, we present a novel framework for learning generative models…

机器学习 · 计算机科学 2020-10-05 Ruixiang Zhang , Masanori Koyama , Katsuhiko Ishiguro

We present a new approach for predictive modeling and its uncertainty quantification for mechanical systems, where coarse-grained models such as constitutive relations are derived directly from observation data. We explore the use of a…

数值分析 · 数学 2020-06-24 Daniel Z. Huang , Kailai Xu , Charbel Farhat , Eric Darve

In this thesis, a computational framework for microstructural modelling of transverse behaviour of heterogeneous materials is presented. The context of this research is part of the broad and active field of Computational Micromechanics,…

计算工程、金融与科学 · 计算机科学 2021-10-05 Marco Lo Cascio

Biological soft tissues exhibit substantial inter-subject variability, making the automation of constitutive material modeling essential for patient-specific analysis and design. Such materials are not only highly nonlinear but also display…

计算物理 · 物理学 2026-04-16 Bahador Bahmani

We devised a general heterogeneous microstructural design methodology applied to a specific material system, elasto-electro-active piezoelectric ceramic embedded plastics, which has great potential in sensing, 5G communication, and energy…

材料科学 · 物理学 2025-07-25 Mohammad Saber Hashemi , Khiem Nguyen , Levi Kirby , Xuan Song , Azadeh Sheidaei

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…

计算工程、金融与科学 · 计算机科学 2019-01-04 Zeliang Liu , C. T. Wu , M. Koishi