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The identification of constitutive laws is ubiquitous in engineering: in modeling of materials where experimental data are fitted to mathematical models or learning surrogate models to beat the FE\textsuperscript{2} computational cost of…

材料科学 · 物理学 2026-05-15 Mayank Raj , Lianghao Cao , Andrew Stuart , Kaushik Bhattacharya

As a nonlocal extension of continuum mechanics, peridynamics has been widely and effectively applied in different fields where discontinuities in the field variables arise from an initially continuous body. An important component of the…

数值分析 · 数学 2021-09-22 Xiao Xu , Marta D'Elia , John T. Foster

In the present work, a hyperelastic constitutive model based on neural networks is proposed which fulfills all common constitutive conditions by construction, and in particular, is applicable to compressible material behavior. Using…

计算工程、金融与科学 · 计算机科学 2023-07-07 Lennart Linden , Dominik K. Klein , Karl A. Kalina , Jörg Brummund , Oliver Weeger , Markus Kästner

Human-robot co-manipulation of soft materials, such as fabrics, composites, and sheets of paper/cardboard, is a challenging operation that presents several relevant industrial applications. Estimating the deformation state of the…

机器人学 · 计算机科学 2023-08-09 Giorgio Nicola , Enrico Villagrossi , Nicola Pedrocchi

The modeling of realistic magnetic materials requires the inclusion of defects. Based on the pseudospectral Landau-Lifshitz description of magnetisation dynamics, we propose a statistical model that takes into account defects, specifically…

介观与纳米尺度物理 · 物理学 2026-03-12 C. Eagan , M. Copus , E. Iacocca

For multilayer structures, interfacial failure is one of the most important elements related to device reliability. For cohesive zone modelling, traction-separation relations represent the adhesive interactions across interfaces. However,…

计算工程、金融与科学 · 计算机科学 2023-01-02 Congjie Wei , Jiaxin Zhang , Kenneth M. Liechti , Chenglin Wu

Identifying constitutive parameters in engineering and biological materials, particularly those with intricate geometries and mechanical behaviors, remains a longstanding challenge. The recent advent of Physics-Informed Neural Networks…

材料科学 · 物理学 2024-06-25 Siyuan Song , Hanxun Jin

Process-structure-property relationships are fundamental in materials science and engineering and are key to the development of new and improved materials. Symbolic regression serves as a powerful tool for uncovering mathematical models…

材料科学 · 物理学 2025-11-12 Evgeniya Kabliman , Gabriel Kronberger

A central challenge in materials science is characterizing chemical processes that are elusive to direct measurement, particularly in functional materials operating under realistic conditions. Here, we demonstrate that mechanical strain…

材料科学 · 物理学 2025-09-04 Royal C. Ihuaenyi , Hongbo Zhao , Ruqing Fang , Ruobing Bai , Martin Z. Bazant , Juner Zhu

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…

Can we learn the physics of matter in motion directly from images and video--and trust it? Answering this question requires integrating experiments, physics-based simulation, and data across traditionally separate disciplines. Much of this…

计算工程、金融与科学 · 计算机科学 2026-04-21 Hagen Holthusen , Kevin Linka , Ellen Kuhl

We present a physics informed deep neural network (DNN) method for estimating parameters and unknown physics (constitutive relationships) in partial differential equation (PDE) models. We use PDEs in addition to measurements to train DNNs…

Constitutive modeling based on continuum mechanics theory has been a classical approach for modeling the mechanical responses of materials. However, when constitutive laws are unknown or when defects and/or high degrees of heterogeneity are…

机器学习 · 计算机科学 2022-07-27 Huaiqian You , Quinn Zhang , Colton J. Ross , Chung-Hao Lee , Yue Yu

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

Soft biological tissues exhibit a tendency to maintain a preferred state of tensile stress, known as tensional homeostasis, which is restored even after external mechanical stimuli. This macroscopic behavior can be described using the…

机器学习 · 计算机科学 2025-01-23 Hagen Holthusen , Tim Brepols , Kevin Linka , Ellen Kuhl

Constitutive and closure models play important roles in computational mechanics and computational physics in general. Classical constitutive models for solid and fluid materials are typically local, algebraic equations or flow rules…

流体动力学 · 物理学 2021-06-16 Xu-Hui Zhou , Jiequn Han , Heng Xiao

Existing point cloud representation learning methods primarily rely on data-driven strategies to extract geometric information from large amounts of scattered data. However, most methods focus solely on the spatial distribution features of…

计算机视觉与模式识别 · 计算机科学 2026-02-06 Zhongyu Chen , Rong Zhao , Xie Han , Xindong Guo , Song Wang , Zherui Qiao

Constitutive models that describe the mechanical behavior of soft tissues have advanced greatly over the past few decades. These expert models are generalizable and require the calibration of a number of parameters to fit experimental data.…

定量方法 · 定量生物学 2021-07-13 Vahidullah Tac , Vivek D. Sree , Manuel K. Rausch , Adrian B. Tepole

In solid mechanics, Data-driven approaches are widely considered as the new paradigm that can overcome the classic problems of constitutive models such as limiting hypothesis, complexity, and high dependence on training data. However,…

软凝聚态物质 · 物理学 2020-11-23 Aref Ghaderi , Vahid Morovati , Roozbeh Dargazany

Data-driven models based on deep learning algorithms intend to overcome the limitations of traditional constitutive modelling by directly learning from data. However, the need for extensive data that collate the full state of the material…

材料科学 · 物理学 2023-12-27 Filippo Masi , Itai Einav