Data-driven Tissue Mechanics with Polyconvex Neural Ordinary
Differential Equations

Data-driven Tissue Mechanics with Polyconvex Neural Ordinary Differential Equations

3 October 2021

F. Sahli Costabal

Papers citing "Data-driven Tissue Mechanics with Polyconvex Neural Ordinary Differential Equations"

15 / 15 papers shown

Title
Monotone Peridynamic Neural Operator for Nonlinear Material Modeling with Conditionally Unique Solutions Jihong Wang Xiaochuan Tian Zhongqiang Zhang Stewart Silling S. Jafarzadeh Yue Yu 39 0 0 02 May 2025
Physics-based machine learning for fatigue lifetime prediction under non-uniform loading scenarios Abedulgader Baktheer Fadi Aldakheel AI4CE 51 0 0 07 Mar 2025
Improving the performance of Stein variational inference through extreme sparsification of physically-constrained neural network models G. A. Padmanabha J. Fuhg C. Safta Reese E. Jones N. Bouklas 40 4 0 30 Jun 2024
A review on data-driven constitutive laws for solids J. Fuhg G. A. Padmanabha N. Bouklas B. Bahmani WaiChing Sun Nikolaos N. Vlassis Moritz Flaschel P. Carrara L. Lorenzis AI4CE AILaw 28 32 0 06 May 2024
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses S. Jafarzadeh Stewart Silling Ning Liu Zhongqiang Zhang Yue Yu AI4CE 24 15 0 11 Jan 2024
Harnessing the Power of Neural Operators with Automatically Encoded Conservation Laws Ning Liu Yiming Fan Xianyi Zeng Milan Klöwer Lu Zhang Yue Yu AI4CE 24 8 0 18 Dec 2023
Exploring hyperelastic material model discovery for human brain cortex: multivariate analysis vs. artificial neural network approaches Jixin Hou Nicholas Filla Xianyan Chen M. Razavi Tianming Liu Xianqiao Wang 27 2 0 16 Oct 2023
On sparse regression, Lp-regularization, and automated model discovery Jeremy A. McCulloch Skyler R. St. Pierre K. Linka E. Kuhl 30 28 0 09 Oct 2023
Deep Learning in Deterministic Computational Mechanics L. Herrmann Stefan Kollmannsberger AI4CE PINN 40 0 0 27 Sep 2023
Generative Hyperelasticity with Physics-Informed Probabilistic Diffusion Fields Vahidullah Tac Manuel K Rausch Ilias Bilionis F. Sahli Costabal A. B. Tepole DiffM AI4CE 23 3 0 11 Sep 2023
Stress representations for tensor basis neural networks: alternative formulations to Finger-Rivlin-Ericksen J. Fuhg N. Bouklas Reese E. Jones 11 10 0 21 Aug 2023
A Generative Modeling Framework for Inferring Families of Biomechanical Constitutive Laws in Data-Sparse Regimes Minglang Yin Zongren Zou Enrui Zhang C. Cavinato J. Humphrey George Karniadakis SyDa MedIm AI4CE 53 11 0 04 May 2023
Data-driven anisotropic finite viscoelasticity using neural ordinary differential equations Vahidullah Tac Manuel K Rausch F. Sahli Costabal A. B. Tepole 23 33 0 11 Jan 2023
A new family of Constitutive Artificial Neural Networks towards automated model discovery K. Linka E. Kuhl AI4CE 28 156 0 15 Sep 2022
Input Convex Neural Networks Brandon Amos Lei Xu J. Zico Kolter 173 597 0 22 Sep 2016