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We propose an automated computational algorithm for simultaneous model selection and parameter identification for the hyperelastic mechanical characterization of human brain tissue. Following the motive of the recently proposed…

We propose a new approach for data-driven automated discovery of material laws, which we call EUCLID (Efficient Unsupervised Constitutive Law Identification and Discovery), and we apply it here to the discovery of plasticity models,…

计算工程、金融与科学 · 计算机科学 2022-10-04 Moritz Flaschel , Siddhant Kumar , Laura De Lorenzis

We extend the scope of our approach for unsupervised automated discovery of material laws (EUCLID) to the case of a material belonging to an unknown class of behavior. To this end, we leverage the theory of generalized standard materials,…

材料科学 · 物理学 2023-01-18 Moritz Flaschel , Siddhant Kumar , Laura De Lorenzis

We assess the performance of EUCLID, Efficient Unsupervised Constitutive Law Identification and Discovery, a recently proposed framework for automated discovery of constitutive laws, on experimental data. Mechanical tests are performed on…

We propose a computational framework, Hetero-EUCLID, for segmentation and parameter identification to characterize the full hyperelastic behavior of all constituents of a heterogeneous material. In this work, we leverage the Bayesian-EUCLID…

计算工程、金融与科学 · 计算机科学 2026-01-19 Kanhaiya Lal Chaurasiya , Saurav Dutta , Siddhant Kumar , Akshay Joshi

Within the scope of our recent approach for Efficient Unsupervised Constitutive Law Identification and Discovery (EUCLID), we propose an unsupervised Bayesian learning framework for discovery of parsimonious and interpretable constitutive…

计算工程、金融与科学 · 计算机科学 2022-10-24 Akshay Joshi , Prakash Thakolkaran , Yiwen Zheng , Maxime Escande , Moritz Flaschel , Laura De Lorenzis , Siddhant Kumar

We propose a new approach for unsupervised learning of hyperelastic constitutive laws with physics-consistent deep neural networks. In contrast to supervised learning, which assumes the availability of stress-strain pairs, the approach only…

机器学习 · 计算机科学 2022-10-11 Prakash Thakolkaran , Akshay Joshi , Yiwen Zheng , Moritz Flaschel , Laura De Lorenzis , Siddhant Kumar

Constitutive modeling lies at the core of mechanics, allowing us to map strains onto stresses for a material in a given mechanical setting. Historically, researchers relied on phenomenological modeling where simple mathematical…

计算工程、金融与科学 · 计算机科学 2024-08-28 Asghar A. Jadoon , Knut A. Meyer , Jan N. Fuhg

The automated discovery of constitutive laws forms an emerging research area, that focuses on automatically obtaining symbolic expressions describing the constitutive behavior of solid materials from experimental data. Existing…

材料科学 · 物理学 2024-05-10 Georgios Kissas , Siddhartha Mishra , Eleni Chatzi , Laura De Lorenzis

Unsupervised reinforcement learning (URL) poses a promising paradigm to learn useful behaviors in a task-agnostic environment without the guidance of extrinsic rewards to facilitate the fast adaptation of various downstream tasks. Previous…

机器学习 · 计算机科学 2023-02-23 Yifu Yuan , Jianye Hao , Fei Ni , Yao Mu , Yan Zheng , Yujing Hu , Jinyi Liu , Yingfeng Chen , Changjie Fan

We propose a new approach for data-driven automated discovery of isotropic hyperelastic constitutive laws. The approach is unsupervised, i.e., it requires no stress data but only displacement and global force data, which are realistically…

计算工程、金融与科学 · 计算机科学 2021-04-30 Moritz Flaschel , Siddhant Kumar , Laura De Lorenzis

We propose a new material viscoelastic model and mathematical solution to simulate relaxation modulus and viscoelastic response. The model formula of relaxation modulus is extended from sigmoidal function considering nonlinear strain…

材料科学 · 物理学 2016-03-03 Qinwu Xu , Bjorn Engquist

Automated model discovery is the process of automatically searching and identifying the most appropriate model for a given dataset over a large combinatorial search space. Existing approaches, however, often face challenges in balancing the…

人工智能 · 计算机科学 2025-10-01 Lee Jung-Mok , Nam Hyeon-Woo , Moon Ye-Bin , Junhyun Nam , Tae-Hyun Oh

We introduce a data-driven fractional modeling framework aimed at complex materials, and particularly bio-tissues. From multi-step relaxation experiments of distinct anatomical locations of porcine urinary bladder, we identify an anomalous…

数值分析 · 数学 2021-10-04 Jorge L. Suzuki , Tyler G. Tuttle , Sara Roccabianca , Mohsen Zayernouri

Cardiac muscle tissue exhibits highly non-linear hyperelastic and orthotropic material behavior during passive deformation. Traditional constitutive identification protocols therefore combine multiple loading modes and typically require…

组织与器官 · 定量生物学 2026-05-05 Rogier P. Krijnen , Akshay Joshi , Siddhant Kumar , Mathias Peirlinck

This document deals with a method for eigenvalue extraction for the analysis of structures with viscoelastic materials. A generalized Maxwell model is used to model linear viscoelasticity. Such kind of model necessitates a state-space…

计算物理 · 物理学 2012-06-26 Gaël Chevallier , Franck Renaud , Jean-Luc Dion

In this work, a new two-stage identification method based on dynamic programming and sparsity inducing is proposed for switched linear systems. Our method achieves sparsity inducing in the identification of switched linear systems by the…

系统与控制 · 电气工程与系统科学 2024-07-15 Zheng Wenju , Ye Hao

Model reduction is a key technology for large-scale physical systems in science and engineering, as it brings behavior expressed in many degrees of freedom to a more manageable size that subsequently allows control, optimization, and…

流体动力学 · 物理学 2024-12-31 R. Ayoub , M. Oulghelou , P. J Schmid

Discovering the governing equations of a dynamical system from observed trajectories provides deeper insight into its structure than mere prediction of future states. We present a data-driven approach to model discovery based on…

计算机视觉与模式识别 · 计算机科学 2026-05-27 Martin Brückmann , Babette Dellen , Uwe Jaekel

Drug discovery is a multi-stage process that comprises two costly major steps: pre-clinical research and clinical trials. Among its stages, lead optimization easily consumes more than half of the pre-clinical budget. We propose a combined…

机器学习 · 计算机科学 2020-11-30 Leili Zhang , Giacomo Domeniconi , Chih-Chieh Yang , Seung-gu Kang , Ruhong Zhou , Guojing Cong
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