Special Issues
Table of Content

Machine Learning Based Computational Mechanics

Submission Deadline: 01 March 2025 View: 470 Submit to Special Issue

Guest Editors

Prof. Yue Mei,Dalian Univesrity of Technology, China
Dr. Qiang Chen, Arts et Metiers Institute of Technology, France
Prof. Liang Liang, University of Miami, USA
Prof. Minliang Liu, Texas Tech University, USA


Summary

The implementation of artificial intelligence has permeated nearly all areas of academia and industry. The field of computational mechanics has greatly benefited from the application of machine learning, especially in cases where traditional computational methods are inefficient and inapplicable, due to its versatility and power of this framework. In this special issue, we will aim to cover the following topics at the intersection of machine learning and mechanics:


(1) Advanced data-driven simulation techniques for complex problems in solid and fluid mechanics, including the integration of machine learning algorithms and high-performance computing for faster and more accurate simulations.

 

(2) Artificial intelligence (AI) aided mechanical design, including the use of generative design algorithms, reinforcement learning, and other AI techniques to optimize designs.

 

(3) Development and application of machine learning-based inverse and forward methods for solving inverse problems in mechanics, such as material parameter identification and damage detection, and for predicting mechanical behavior from input parameters.

 

(4) Machine learning-based multiscale modeling approaches, including the development of new methods for bridging the gap between micro and macro scales in materials science and mechanics, and for efficiently simulating complex multiphysics problems.

 

(5) Other related topics, such as the use of machine learning in other areas of mechanics and engineering.


Keywords

Computational mechanics, machine learning, data driven modeling, optimization.

Published Papers


  • Open Access

    ARTICLE

    A Novel Model for Describing Rail Weld Irregularities and Predicting Wheel-Rail Forces Using a Machine Learning Approach

    Linlin Sun, Zihui Wang, Shukun Cui, Ziquan Yan, Weiping Hu, Qingchun Meng
    CMES-Computer Modeling in Engineering & Sciences, Vol.142, No.1, pp. 555-577, 2025, DOI:10.32604/cmes.2024.056023
    (This article belongs to the Special Issue: Machine Learning Based Computational Mechanics)
    Abstract Rail weld irregularities are one of the primary excitation sources for vehicle-track interaction dynamics in modern high-speed railways. They can cause significant wheel-rail dynamic interactions, leading to wheel-rail noise, component damage, and deterioration. Few researchers have employed the vehicle-track interaction dynamic model to study the dynamic interactions between wheel and rail induced by rail weld geometry irregularities. However, the cosine wave model used to simulate rail weld irregularities mainly focuses on the maximum value and neglects the geometric shape. In this study, novel theoretical models were developed for three categories of rail weld irregularities, based… More >

  • Open Access

    ARTICLE

    Transient Thermal Distribution in a Wavy Fin Using Finite Difference Approximation Based Physics Informed Neural Network

    Sara Salem Alzaid, Badr Saad T. Alkahtani, Kumar Chandan, Ravikumar Shashikala Varun Kumar
    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.3, pp. 2555-2574, 2024, DOI:10.32604/cmes.2024.055312
    (This article belongs to the Special Issue: Machine Learning Based Computational Mechanics)
    Abstract Heat transport has been significantly enhanced by the widespread usage of extended surfaces in various engineering domains. Gas turbine blade cooling, refrigeration, and electronic equipment cooling are a few prevalent applications. Thus, the thermal analysis of extended surfaces has been the subject of a significant assessment by researchers. Motivated by this, the present study describes the unsteady thermal dispersal phenomena in a wavy fin with the presence of convection heat transmission. This analysis also emphasizes a novel mathematical model in accordance with transient thermal change in a wavy profiled fin resulting from convection using the… More >

  • Open Access

    ARTICLE

    Incorporating Lasso Regression to Physics-Informed Neural Network for Inverse PDE Problem

    Meng Ma, Liu Fu, Xu Guo, Zhi Zhai
    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.1, pp. 385-399, 2024, DOI:10.32604/cmes.2024.052585
    (This article belongs to the Special Issue: Machine Learning Based Computational Mechanics)
    Abstract Partial Differential Equation (PDE) is among the most fundamental tools employed to model dynamic systems. Existing PDE modeling methods are typically derived from established knowledge and known phenomena, which are time-consuming and labor-intensive. Recently, discovering governing PDEs from collected actual data via Physics Informed Neural Networks (PINNs) provides a more efficient way to analyze fresh dynamic systems and establish PED models. This study proposes Sequentially Threshold Least Squares-Lasso (STLasso), a module constructed by incorporating Lasso regression into the Sequentially Threshold Least Squares (STLS) algorithm, which can complete sparse regression of PDE coefficients with the constraints More >

  • Open Access

    ARTICLE

    Conditional Generative Adversarial Network Enabled Localized Stress Recovery of Periodic Composites

    Chengkan Xu, Xiaofei Wang, Yixuan Li, Guannan Wang, He Zhang
    CMES-Computer Modeling in Engineering & Sciences, Vol.140, No.1, pp. 957-974, 2024, DOI:10.32604/cmes.2024.047327
    (This article belongs to the Special Issue: Machine Learning Based Computational Mechanics)
    Abstract Structural damage in heterogeneous materials typically originates from microstructures where stress concentration occurs. Therefore, evaluating the magnitude and location of localized stress distributions within microstructures under external loading is crucial. Repeating unit cells (RUCs) are commonly used to represent microstructural details and homogenize the effective response of composites. This work develops a machine learning-based micromechanics tool to accurately predict the stress distributions of extracted RUCs. The locally exact homogenization theory efficiently generates the microstructural stresses of RUCs with a wide range of parameters, including volume fraction, fiber/matrix property ratio, fiber shapes, and loading direction. Subsequently, More >

    Graphic Abstract

    Conditional Generative Adversarial Network Enabled Localized Stress Recovery of Periodic Composites

  • Open Access

    ARTICLE

    PCA-LSTM: An Impulsive Ground-Shaking Identification Method Based on Combined Deep Learning

    Yizhao Wang
    CMES-Computer Modeling in Engineering & Sciences, Vol.139, No.3, pp. 3029-3045, 2024, DOI:10.32604/cmes.2024.046270
    (This article belongs to the Special Issue: Machine Learning Based Computational Mechanics)
    Abstract Near-fault impulsive ground-shaking is highly destructive to engineering structures, so its accurate identification ground-shaking is a top priority in the engineering field. However, due to the lack of a comprehensive consideration of the ground-shaking characteristics in traditional methods, the generalization and accuracy of the identification process are low. To address these problems, an impulsive ground-shaking identification method combined with deep learning named PCA-LSTM is proposed. Firstly, ground-shaking characteristics were analyzed and ground-shaking the data was annotated using Baker’s method. Secondly, the Principal Component Analysis (PCA) method was used to extract the most relevant features related More >

  • Open Access

    ARTICLE

    Toward Improved Accuracy in Quasi-Static Elastography Using Deep Learning

    Yue Mei, Jianwei Deng, Dongmei Zhao, Changjiang Xiao, Tianhang Wang, Li Dong, Xuefeng Zhu
    CMES-Computer Modeling in Engineering & Sciences, Vol.139, No.1, pp. 911-935, 2024, DOI:10.32604/cmes.2023.043810
    (This article belongs to the Special Issue: Machine Learning Based Computational Mechanics)
    Abstract Elastography is a non-invasive medical imaging technique to map the spatial variation of elastic properties of soft tissues. The quality of reconstruction results in elastography is highly sensitive to the noise induced by imaging measurements and processing. To address this issue, we propose a deep learning (DL) model based on conditional Generative Adversarial Networks (cGANs) to improve the quality of nonhomogeneous shear modulus reconstruction. To train this model, we generated a synthetic displacement field with finite element simulation under known nonhomogeneous shear modulus distribution. Both the simulated and experimental displacement fields are used to validate More >

  • Open Access

    ARTICLE

    Numerical Study of the Biomechanical Behavior of a 3D Printed Polymer Esophageal Stent in the Esophagus by BP Neural Network Algorithm

    Guilin Wu, Shenghua Huang, Tingting Liu, Zhuoni Yang, Yuesong Wu, Guihong Wei, Peng Yu, Qilin Zhang, Jun Feng, Bo Zeng
    CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.3, pp. 2709-2725, 2024, DOI:10.32604/cmes.2023.031399
    (This article belongs to the Special Issue: Machine Learning Based Computational Mechanics)
    Abstract Esophageal disease is a common disorder of the digestive system that can severely affect the quality of life and prognosis of patients. Esophageal stenting is an effective treatment that has been widely used in clinical practice. However, esophageal stents of different types and parameters have varying adaptability and effectiveness for patients, and they need to be individually selected according to the patient’s specific situation. The purpose of this study was to provide a reference for clinical doctors to choose suitable esophageal stents. We used 3D printing technology to fabricate esophageal stents with different ratios of… More >

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