HiDeNN-FEM: a seamless machine learning approach to nonlinear finite element analysis

Y Liu, C Park, Y Lu, S Mojumder, WK Liu… - Computational …, 2023 - Springer
The hierarchical deep-learning neural network (HiDeNN)(Zhang et al. Computational
Mechanics, 67: 207–230) provides a systematic approach to constructing numerical …

Time-discontinuous state-based peridynamics for elasto-plastic dynamic fracture problems

Z Liu, J Zhang, H Zhang, H Ye, H Zhang… - Engineering Fracture …, 2022 - Elsevier
A time-discontinuous state-based peridynamic method (SBPD-TD) is developed in this
paper to model the transient problems of wave and crack propagation in solids. In this …

A Limit Equilibrium Method Based on Geostress Calculated by Implicit Stabilized Node-Based Smoothed Finite Element Method for Stability Analysis of Soil Slopes

Y Lyu, X Chen, L Cui, Z Xu, C Liu - Geotechnical and Geological …, 2024 - Springer
To perform the stability analysis of soil slopes, the traditional limit equilibrium method (LEM)
based on geostresses calculated by the standard finite element method (LEM-FEM) appears …

A time‐discontinuous peridynamic method for transient problems involving crack propagation

Z Liu, H Ye, D Qian, H Zhang… - International Journal for …, 2021 - Wiley Online Library
A time‐discontinuous peridynamic method (TDPD) for modeling transient problems of wave
and crack propagation in solids is presented in this article. The main features of the TDPD …

Hierarchical Deep-Learning Neural Network and Its Application to Non-Linear Finite Element Method

Y Liu - 2023 - search.proquest.com
Abstract The Hierarchical Deep-learning Neural Network (HiDeNN) is a systematic
approach for constructing numerical approximations for solving Partial Differential Equations …

Direct simulation approach to high cycle fatigue life prediction based on extended space-time finite element method and machine learning

D Qian - THE 11TH INTERNATIONAL CONFERENCE ON …, 2020 - sci-en-tech.com
High cycle fatigue (HCF) is the dominant failure mechanism of many engineering
components and structures. Traditional fatigue life prediction approaches depend on …