Engineering Analysis with Boundary Elements最新文献

Application of multifractal optimized by DNN in the quality analysis of mesh 深度神经网络优化多重分形在网格质量分析中的应用

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-07-31 DOI: 10.1016/j.enganabound.2025.106407

Ziang Cao , Peixin Zhang , Limin Huang

{"title":"Application of multifractal optimized by DNN in the quality analysis of mesh","authors":"Ziang Cao , Peixin Zhang , Limin Huang","doi":"10.1016/j.enganabound.2025.106407","DOIUrl":"10.1016/j.enganabound.2025.106407","url":null,"abstract":"<div><div>In the field of engineering simulation, mesh quality critically determines the accuracy and efficiency of numerical simulations. Traditional mesh quality evaluation metrics, such as element volume and shape factor, can identify local defects but fail to quantify the nonlinear distribution characteristics of global mesh quality. Fractal theory provides a mathematical tool for characterizing the self-similarity of complex geometric structures; however, a single fractal dimension is insufficient to capture the multiscale heterogeneity of meshes. To address this, this study proposes a multifractal-based framework for mesh quality analysis, aiming to reveal the global distribution patterns and nonuniform features of mesh quality. To mitigate the sensitivity of the fractal dimension calculation to parameter <span><math><mi>ϵ</mi></math></span>, an optimization strategy integrating Q-learning reinforcement learning and deep neural networks is introduced, reducing manual parameter-tuning costs and computational complexity. The proposed method achieves an error of only 1.997% in calculating the fractal dimension of a 3D Cantor set. Finally, numerical experiments on 2D cylinder flow demonstrate that this mesh quality analysis method outperforms traditional metrics significantly.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106407"},"PeriodicalIF":4.1,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144750561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Research on interaction of two straight cracks embedded in different spaces of piezoelectric bimaterial 压电双材料中嵌入不同空间的两条直裂纹相互作用研究

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-07-30 DOI: 10.1016/j.enganabound.2025.106401

Ting Cao , Yu Zhang , Taiyan Qin

引用次数: 0

Improved semi-analytical modeling for heat conduction and thermal stress in heterogeneous semi-infinite media 非均质半无限介质中热传导和热应力的改进半解析模型

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-07-30 DOI: 10.1016/j.enganabound.2025.106411

Chuhao Huang , Lei Gan , Jun Liu , Wenbin Ye , Shuihua Jiang , Ziyang Li , Lei Zhang

{"title":"Improved semi-analytical modeling for heat conduction and thermal stress in heterogeneous semi-infinite media","authors":"Chuhao Huang , Lei Gan , Jun Liu , Wenbin Ye , Shuihua Jiang , Ziyang Li , Lei Zhang","doi":"10.1016/j.enganabound.2025.106411","DOIUrl":"10.1016/j.enganabound.2025.106411","url":null,"abstract":"<div><div>To overcome the challenges of complex geometric discretization and low efficiency in the thermo-mechanical analysis of heterogeneous semi-infinite domains, this study presents an improved scaled boundary finite element method (SBFEM). By adopting a semi-analytical formulation that avoids full-domain meshing, the method significantly improves computational efficiency and local accuracy near material interfaces, offering clear advantages over conventional SBFEM approaches. The heat conduction problem is formulated using the Galerkin method by incorporating a novel SBFE coordinate transformation framework. The thermal field solution is obtained through an eigenvalue decomposition coupled with a high-order Runge-Kutta integration scheme, which together ensure enhanced numerical stability and accuracy across heterogeneous media. Building upon this thermal solution, an innovative non-homogeneous equation framework is formulated for thermal stress analysis, enabling precise and efficient characterization of complex thermomechanical interactions within heterogeneous semi-infinite domains. Finally, a series of numerical investigations are conducted to verify the accuracy and robustness of the proposed method. The results demonstrate the method’s effectiveness in capturing heat conduction and thermal stress responses, highlighting its potential for engineering applications such as geothermal systems, dam foundations, and high-speed railway subgrades.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106411"},"PeriodicalIF":4.1,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144739318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical simulation of crack propagation in orthotropic materials by using PDDO method 正交异性材料裂纹扩展的PDDO方法数值模拟

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-07-29 DOI: 10.1016/j.enganabound.2025.106406

Jun Lei , Kun Wu , Yong Lu , Huiping Yu , Daokuan Wang

{"title":"Numerical simulation of crack propagation in orthotropic materials by using PDDO method","authors":"Jun Lei , Kun Wu , Yong Lu , Huiping Yu , Daokuan Wang","doi":"10.1016/j.enganabound.2025.106406","DOIUrl":"10.1016/j.enganabound.2025.106406","url":null,"abstract":"<div><div>The crack propagation problems in orthotropic materials are considered in this paper by the Peridynamic Differential Operator (PDDO) method, which is a novel meshless method developed on the basis of non-local concepts in the Peridynamic theory and exhibits outstanding advantages in addressing discontinuity problems. This study combines the classical fracture mechanics theory with the novel meshless method. The meshless method allows numerical simulation of crack propagation in arbitrary directions without the need for re-meshing. Meanwhile, it enables fracture analysis within the continuum framework. By applying the classical fracture theory, the interaction integral method is used to calculate the crack-tip stress intensity factors (SIFs). The maximum circumferential tensile stress criterion is applied to determine the crack extension direction. Then, some classical crack propagation problems are numerically simulated. The PDDO results are compared with the experimental data and existing numerical results to validate the effectiveness and high accuracy of the present method in simulating crack propagation in orthotropic materials.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106406"},"PeriodicalIF":4.1,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144724766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

UAV inertial navigation using deep neural networks in simulated environments 模拟环境下基于深度神经网络的无人机惯性导航

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-07-29 DOI: 10.1016/j.enganabound.2025.106376

Nathan A.Z. Xavier , Elcio H. Shiguemori , Marcos R.O.A. Maximo

{"title":"UAV inertial navigation using deep neural networks in simulated environments","authors":"Nathan A.Z. Xavier , Elcio H. Shiguemori , Marcos R.O.A. Maximo","doi":"10.1016/j.enganabound.2025.106376","DOIUrl":"10.1016/j.enganabound.2025.106376","url":null,"abstract":"<div><div>The development of UAV technologies continues to advance globally, with a critical challenge being accurate self-localization in the absence of global positioning data. This paper explores the application of deep inertial odometry for UAVs, leveraging deep neural networks trained on real outdoor flight data. The performance of the proposed method is evaluated in the CoppeliaSim simulator, where it effectively maintains accurate estimates of the UAV’s position and orientation with minimal error. The method showed promising performance in validation, achieving high accuracy in position and orientation estimation. Preliminary flight tests suggest potential for short-duration segments in real-world UAV applications, but longer missions still require additional drift-mitigation strategies and external corrections. Notably, the solution demonstrates cross-platform generalization, transferring performance successfully from a real hexacopter UAV to a simulated quadcopter model. Furthermore, it shows improved performance over traditional techniques, such as the Kalman filter, by mitigating the impact of noise from off-the-shelf inertial sensors, offering potentially more robust estimations in the absence of external positioning data. The method was tested in both real flight data and a simulation environment, further validating its effectiveness.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106376"},"PeriodicalIF":4.1,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144722514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

G-PINNs: A Bayesian-Optimized GRU-Enhanced Physics-Informed Neural Network for Advancing Short Rate Model Predictions G-PINNs：用于推进短期利率模型预测的贝叶斯优化gru增强物理信息神经网络

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-07-26 DOI: 10.1016/j.enganabound.2025.106396

Indu Rani, Chandan Kumar Verma

{"title":"G-PINNs: A Bayesian-Optimized GRU-Enhanced Physics-Informed Neural Network for Advancing Short Rate Model Predictions","authors":"Indu Rani, Chandan Kumar Verma","doi":"10.1016/j.enganabound.2025.106396","DOIUrl":"10.1016/j.enganabound.2025.106396","url":null,"abstract":"<div><div>Interest rate modeling plays a crucial role in financial risk management, derivative pricing, and economic forecasting. To address the challenges of capturing complex stochastic dynamics, this study proposes a novel Bayesian-Optimized GRU-Enhanced Physics-Informed Neural Network (G-PINNs) architecture, integrated with the Hull–White (HW) short-rate model, to improve the prediction accuracy of yield forecasting, zero-coupon bond (ZCB) pricing, and option pricing. The proposed framework effectively models time dependent variations and stochastic behavior in interest rate dynamics by leveraging Gated Recurrent Units (GRU) for sequential pattern recognition and Physics Informed Neural Networks (PINNs) to enforce financial constraints through partial differential equations (PDEs) of the HW model. For empirical validation, US treasury yield data from April 2020 to March 2025 is utilized. To achieve the best optimal hyperparameters to enhance both predictive accuracy and training efficiency, Bayesian Optimization (BO) is employed for hyperparameter tuning. The proposed model outperforms Vanilla PINNs as evidenced by higher <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> values and reduced error metrics (MAE, MSE, RMSE, Max & Min error, MSLE, Huber loss, MedAE) in yield prediction, ZCB pricing, and option pricing, as indicated by the numerical results. Furthermore, the results are statistically validated through the paired t-test, which confirms that the G-PINNs model’s performance improvement is significant and not a consequence of random variation. Also, 5-fold cross-validation is performed to ensure robust and unbiased model evaluation across different data splits.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106396"},"PeriodicalIF":4.2,"publicationDate":"2025-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144711919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Partition-of-unity method based on dual-cover approximation technique for fractured rock mass modeling 基于双覆盖近似的裂隙岩体建模分割统一方法

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-07-26 DOI: 10.1016/j.enganabound.2025.106397

Yongchang Cai, Youshuang Tan, Pengfei Yan

{"title":"Partition-of-unity method based on dual-cover approximation technique for fractured rock mass modeling","authors":"Yongchang Cai, Youshuang Tan, Pengfei Yan","doi":"10.1016/j.enganabound.2025.106397","DOIUrl":"10.1016/j.enganabound.2025.106397","url":null,"abstract":"<div><div>A partition-of-unity (PU) method based on dual-cover approximation technique (DCAT) is developed for fractured rock mass modeling. In the DCAT, the problem domain is discretized using a structured square mesh independent of discontinuities and boundaries. Sub-blocks generated from the square elements fully cut by discontinuities, as well as the square elements containing crack tips, are termed isolated blocks, while remaining elements are normal blocks. Asymptotic approximations are defined for near-tip isolated blocks based on block cover concept, while the PU approximations are constructed on the remaining blocks based on nodal cover concept. A discontinuous Galerkin (DG) approach is introduced to ensure continuity between isolated blocks and their surrounding blocks. Since the approximations on each block are complete interpolation functions, the DCAT fundamentally eliminates the blending element issues inherent in the conventional PU methods such as the extended/generalized finite element method (XFEM/GFEM) and the numerical manifold method (NMM). By replacing the degrees of freedom of small-area block with those of its adjacent large-area block, the DCAT also provides a straightforward solution to the small-area block trouble. These innovations enable robust simulations of complex fractures with stable computations. Several numerical examples highlight the accuracy, efficiency, and robustness of the present DCAT.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106397"},"PeriodicalIF":4.2,"publicationDate":"2025-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144711461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A hybrid R-LES-SPH model for numerical simulation of hydrodynamic problems with violent free-surface flows 具有剧烈自由表面流动的混合R-LES-SPH模型数值模拟

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-07-25 DOI: 10.1016/j.enganabound.2025.106405

Ada Yilmaz

{"title":"A hybrid R-LES-SPH model for numerical simulation of hydrodynamic problems with violent free-surface flows","authors":"Ada Yilmaz","doi":"10.1016/j.enganabound.2025.106405","DOIUrl":"10.1016/j.enganabound.2025.106405","url":null,"abstract":"<div><div>This paper proposes a novel hybrid R-LES-SPH model for numerical analysis of hydrodynamic problems involving violent free-surface flows. In this model, while viscous diffusion is imposed by a Large Eddy Simulation (LES) formulation in the Lagrangian framework with integrating into the dissipation limiter of the Riemann-SPH (RSPH) model, density diffusion is by a diffusive term connected with Roe’s approximate Riemann solver with dynamic reconstruction. The present hybrid approximation aims to ensure numerically stable analyses with smooth pressure fields, without introducing excessive energy dissipation. In the proposed model, enhanced Particle Shifting (PS) and Volume Conservation Shifting (VCS) schemes are implemented to prevent irregular particle distribution and volume conservation issues faced in the Smoothed Particle Hydrodynamics (SPH) simulations. The solution accuracy and energy conservation properties of the proposed R-LES-SPH model are investigated using several benchmark cases. The proposed model computations are compared with experimental and analytical solutions together with the RSPH and δ-LES-SPH computations. The results showed that the proposed R-LES-SPH model offers more stable and accurate computations with a smoother pressure field and similar energy conservation properties compared to the δ-LES-SPH model. In addition to this, it is observed that the proposed model prevents excessive numerical dissipation with more realistic calculations of viscous forces compared to the RSPH model.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106405"},"PeriodicalIF":4.2,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144702971","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Static and free vibration analyses of plates using a fully edge-based smoothed three-node Mindlin Plate element (FES-MIN3) 基于全边缘光滑三节点Mindlin板单元（FES-MIN3）的板静振动和自由振动分析

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-07-23 DOI: 10.1016/j.enganabound.2025.106399

Shenshen Chen , Xingyue Zhong , Qinghua Li , Xing Wei

{"title":"Static and free vibration analyses of plates using a fully edge-based smoothed three-node Mindlin Plate element (FES-MIN3)","authors":"Shenshen Chen , Xingyue Zhong , Qinghua Li , Xing Wei","doi":"10.1016/j.enganabound.2025.106399","DOIUrl":"10.1016/j.enganabound.2025.106399","url":null,"abstract":"<div><div>In this work, an edge-based strain smoothing technique and a quasi-weak form of smoothed integral are integrated with the three-node Mindlin plate element (MIN3) to develop the fully edge-based smoothed three-node Mindlin plate element (FES-MIN3) for static and free vibration analyses of Reissner-Mindlin plates. To overcome the limitations of the conventional strain smoothing technique, which can only handle the domain integral corresponding to partial derivatives of shape functions, a quasi-weak form of smoothed integral is also introduced. This approach effectively addresses the domain integral related to the shape functions without partial derivatives. Unlike the standard smoothing technique, the quasi-weak form requires the computation of indefinite integrals of shape functions and does not reduce the continuity requirements for the shape functions. All domain integrals in stiffness and mass matrices can be transformed into boundary integrals over the smoothing domains, completely eliminating the need for coordinate mapping and Jacobian matrix calculations. The FES-MIN3 significantly enhances solution accuracy through the softening effect of edge-based strain smoothing and effectively mitigates the issue of shear locking. Numerical examples demonstrate the superior accuracy of FES-MIN3 to many existing elements, as well as its excellent performance in resisting mesh distortion.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106399"},"PeriodicalIF":4.2,"publicationDate":"2025-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144685844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

BEM for problems involving finite-part integrals 边界元法用于有限部分积分问题

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-07-22 DOI: 10.1016/j.enganabound.2025.106394

Aleksandr Linkov, Ewa Rejwer-Kosińska, Liliana Rybarska-Rusinek

{"title":"BEM for problems involving finite-part integrals","authors":"Aleksandr Linkov, Ewa Rejwer-Kosińska, Liliana Rybarska-Rusinek","doi":"10.1016/j.enganabound.2025.106394","DOIUrl":"10.1016/j.enganabound.2025.106394","url":null,"abstract":"<div><div>In material science and fracture mechanics, accurate evaluation of high local fields is of prime significance. The natural path to accurately calculate these fields consists of solving boundary integral equations (BIE) by the boundary element methods. In general, 3D problems of the kind involve hypersingular BIE over curvilinear surfaces. Yet, so far, the solutions to such BIE are given merely for a few particular cases of curvilinear surfaces. General approaches, suggested to the date, have not found practical implementation due to the need for complex analytical work. Of value is to develop an accurate, efficient and simple method for solving hypersingular BIE. This paper aims that goal. It is reached by employing the tangent-plane approach suggested. We calculate the hypersingular integral as the finite-part integral. The latter is evaluated analytically over a small part of a curvilinear element. The approach performs calculations in the tangent plane, while accounting for the curvature. Its accuracy is studied for 2D/3D finite-part integrals over curvilinear elements. The study provides the parameters to be employed in calculations. A numerical example confirms that the tangent-plane approach is simple, highly accurate and computationally efficient. It makes evaluation of finite-part integrals as simple as evaluation of proper integrals.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106394"},"PeriodicalIF":4.2,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144680163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0