Engineering Analysis with Boundary Elements最新文献

英文中文

A local meshfree approach based on compactly supported radial basis functions for 2D coupled fluid dynamics PDEs on regular and irregular domains

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-04-26 DOI: 10.1016/j.enganabound.2025.106246

Lanceni Keita , Lahcen Azrar , Ateq Ahmed Al-Ghamedi

This paper presents a novel application of compactly supported radial basis functions (CSRBFs) within a local meshfree framework to solve two-dimensional coupled partial differential equations, including the Burgers’ equation (2D-CVBE) and the Saint Venant system (2D-SVS), also known as the shallow water equations. By integrating CSRBFs with the method of lines (CSRBF-MOL), this approach provides a flexible and adaptive meshfree discretization technique. It reformulates the 2D-CVBE and 2D-SVS into systems of ordinary differential equations, which are then solved numerically. The proposed method has capability to handle both rectangular and irregular domains without requiring structured grids. Its compatibility to deal with Neumann boundary conditions in makes it particularly effective for complex geometries. This framework offers a robust alternative for fluid dynamics simulations, addressing the limitations of traditional mesh-based methods in terms of flexibility and computational efficiency. The method’s accuracy and reliability are demonstrated through six numerical experiments, with results compared to global RBF approaches and conventional mesh-based techniques from the current literature.

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引用次数: 0

A localized MQRBF-FD method with adaptive shape parameter optimization for acoustic wave simulation

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-04-25 DOI: 10.1016/j.enganabound.2025.106270

Jian Sun, Wenshuai Wang

Accurately simulating acoustic wave propagation is crucial for seismic exploration and acoustic imaging. Traditional numerical methods often struggle to balance accuracy and computational efficiency, particularly when applied to heterogeneous media. The multiquadric radial basis function (MQRBF)-FD method offers flexibility in handling irregular geometries but encounters difficulties in selecting optimal shape parameters and maintaining computational efficiency for large-scale problems. In this paper, we introduce a localized MQRBF-FD method with adaptive shape parameter optimization to address these challenges. This approach combines the spatial approximation flexibility of MQRBF with the computational efficiency of the finite difference (FD) method for time derivatives. The method employs an enhanced random walk algorithm and Adam-BP model to adaptively determine the shape parameters based on Fourier expansions of the wave function. This strategy improves both accuracy and stability in complex media. By performing localized computations, the method minimizes unnecessary global interactions, thus ensuring computational efficiency. Extensive validation, including comparisons with traditional methods in both 2D and 3D scenarios, across various media and grid types, demonstrates significant improvements in accuracy, stability, and acceptable computational cost.

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引用次数: 0

Numerical investigation on quasi-dynamic behaviours of fractured rocks under uniaxial compression using new rate-dependent contact models

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-04-24 DOI: 10.1016/j.enganabound.2025.106268

Liwang Liu , Haibo Li , Mingyang Wang , Guokai Zhang , Yaguang Sui , Xiaofeng Li

The behaviour of fractured rocks under quasi-dynamic loads significantly influences the stability of rock engineering projects under dynamic disturbances. To account for strain rate effects, new rate-dependent contact models were proposed in this study. Then, numerical models of fractured rocks were generated for quasi-dynamic simulations under uniaxial compression, aiming to investigate the impacts of strain rate and fracture intensity. The results show that the contact models can effectively replicate the rate-dependent behaviours of uniaxial compressive strength (UCS), and an increasing strain rate would induce a rise in UCS of fractured rocks. Additionally, the number of microcracks initiated in rock matrix and fractures show increasing trends, resulting in the higher number of failure planes and more complex failure patterns as the strain rate increases. In contrast, UCS is negatively correlated with fracture intensity, and the intensity's increase enhances the complexity of failure patterns. Regarding microcracking behaviours, the number of microcracks in rock matrix decreases with increasing intensity, while the number of microcracks within fractures increases. Since the mechanical properties of rock matrix are stronger than those of fractures and the initiation of microcracks requires externally input energy, the variations of microcracking behaviours might be intrinsic mechanisms underlying the changes in UCS.

{"title":"Numerical investigation on quasi-dynamic behaviours of fractured rocks under uniaxial compression using new rate-dependent contact models","authors":"Liwang Liu , Haibo Li , Mingyang Wang , Guokai Zhang , Yaguang Sui , Xiaofeng Li","doi":"10.1016/j.enganabound.2025.106268","DOIUrl":"10.1016/j.enganabound.2025.106268","url":null,"abstract":"<div><div>The behaviour of fractured rocks under quasi-dynamic loads significantly influences the stability of rock engineering projects under dynamic disturbances. To account for strain rate effects, new rate-dependent contact models were proposed in this study. Then, numerical models of fractured rocks were generated for quasi-dynamic simulations under uniaxial compression, aiming to investigate the impacts of strain rate and fracture intensity. The results show that the contact models can effectively replicate the rate-dependent behaviours of uniaxial compressive strength (UCS), and an increasing strain rate would induce a rise in UCS of fractured rocks. Additionally, the number of microcracks initiated in rock matrix and fractures show increasing trends, resulting in the higher number of failure planes and more complex failure patterns as the strain rate increases. In contrast, UCS is negatively correlated with fracture intensity, and the intensity's increase enhances the complexity of failure patterns. Regarding microcracking behaviours, the number of microcracks in rock matrix decreases with increasing intensity, while the number of microcracks within fractures increases. Since the mechanical properties of rock matrix are stronger than those of fractures and the initiation of microcracks requires externally input energy, the variations of microcracking behaviours might be intrinsic mechanisms underlying the changes in UCS.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"176 ","pages":"Article 106268"},"PeriodicalIF":4.2,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143865169","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 fast fully coupled FEM/BEM method for structural-acoustic interaction problems with a uniformly moving source

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-04-24 DOI: 10.1016/j.enganabound.2025.106261

Ruihua Sun , Haijun Wu , Siyuan Wang , Yinong Gou , Weikang Jiang

When a structure moves uniformly at high-speed, the structural-acoustic coupling significant alters the acoustic field distribution compared to conditions without coupling. We propose a hybrid numerical method combining the finite element method (FEM) for structural vibration and the convective boundary element method (BEM) for sound propagation in uniform flow to predict the acoustic field of a uniformly moving body. We introduce the acoustic-analogy Lorentz (a-a Lorentz) transformation to accelerate the convective BEM. To establish the structural-acoustic coupling condition, we derive a mapping method for different physical fields and spacetimes based on the time and space transformations of the a-a Lorentz transformations. A fully coupled solution scheme based on the fast multipole method (FMM) has been developed. By integrating the FEM matrix into the boundary element equation, we eliminate structural degrees of freedom and address the ill-conditioned issue of the direct coupling matrix. Additionally, the FMM efficiently handles large-scale problems. We construct a semi-analytical model to verify the proposed method's correctness and efficiency. The impact of varying Mach numbers and structural elasticity modulus on the coupling effect is analyzed indicating that coupling analysis is essential under high-speed conditions. A full-fuselage model is computed to validate the method's efficiency for large-scale problems.

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引用次数: 0

A novel real-time efficacy assessment method for tumor treating fields

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-04-23 DOI: 10.1016/j.enganabound.2025.106278

Yueyue Xiao , Songpei Hu , Chunxiao Chen , Hao Yu , Liang Wang , Jie Yu , Bokai Chen , Ming Lu , Jagath C. Rajapakse

Tumor treating fields (TTFields) is a promising non-invasive cancer treatment that uses alternating electric fields to disrupt tumor cell division. Despite its potential, there is a significant lack of precise and reliable methods for evaluating the efficacy of TTFields in clinical settings. The aim of this study is to develop and validate a new method for real-time assessment of the efficacy of TTFields. We proposed a novel neural network based on a collaborative fusion strategy of dual-branch (CFS-DB) to reconstruct the conductivity of tumor region for real-time assessment of the efficacy of TTFields. The proposed CFS-DB includes two independent branches: a conductivity branch and a structure branch. The conductivity branch employs FC-UNet to learn the mapping from measured boundary voltages to conductivity. The structural branch uses the results reconstructed by Gaussian-Newton method as the input for image-to-image training. Finally, the features from both branches are fused for coordinated end-to-end training. The simulation and experimental results show that the proposed CFS-DB has superior performance compared to five state-of-the-art deep learning networks. The CFS-DB method offers a novel and precise approach for evaluating the efficacy of TTFields, providing a new paradigm for clinical assessment.

肿瘤治疗场（TTFields）是一种很有前景的非侵入性癌症治疗方法，它利用交变电场破坏肿瘤细胞分裂。尽管肿瘤治疗场很有潜力，但在临床环境中却严重缺乏精确可靠的疗效评估方法。本研究旨在开发和验证一种实时评估 TTFields 疗效的新方法。我们提出了一种基于双分支协同融合策略（CFS-DB）的新型神经网络，用于重建肿瘤区域的电导率，以实时评估 TTFields 的疗效。拟议的 CFS-DB 包括两个独立的分支：电导分支和结构分支。传导性分支利用 FC-UNet 学习从测量的边界电压到传导性的映射。结构分支使用高斯-牛顿法重建的结果作为图像到图像训练的输入。最后，融合两个分支的特征，进行协调的端到端训练。仿真和实验结果表明，与五种最先进的深度学习网络相比，所提出的 CFS-DB 具有更优越的性能。CFS-DB 方法为评估 TTFields 的疗效提供了一种新颖而精确的方法，为临床评估提供了一种新的范例。

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引用次数: 0

Predicting downhole rock friction angles in complex geological settings: Machine learning approaches and application to the Xihu sag

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-04-23 DOI: 10.1016/j.enganabound.2025.106279

Huayang Li , Quanyou Liu , Shijie Zhu , Jiaao Chen , Zehui Shi , Rui Xiang

Traditional laboratory methods for determining rock internal friction angles are costly, time-intensive, and limited by core sample quality, yet few studies address this in oil and gas drilling contexts. This research introduces a groundbreaking machine learning framework to predict offshore downhole internal friction angles, leveraging data from the East China Sea’s Xihu Sag. Using four algorithms and six well logging parameters selected via Spearman correlation analysis, we pioneered a systematic comparison of sequential versus random data partitioning. Sequential partitioning markedly reduced model accuracy and generalizability, most notably for KNN, while random partitioning enhanced performance. The XGBoost model excelled, achieving over 99 % accuracy in real downhole predictions with random splitting, showcasing unmatched accuracy, robustness, and generalization. We applied these predictions to assess wellbore stability in the Pinghu Formation using ABAQUS, demonstrating practical utility. This cost-effective, efficient alternative to traditional tests fills a critical gap in drilling research, offering novel insights into data partitioning and model selection. These findings not only advance predictive methodologies in complex geological settings but also provide a robust reference for future studies, underscoring the framework’s scientific rigor and high-value contributions.

{"title":"Predicting downhole rock friction angles in complex geological settings: Machine learning approaches and application to the Xihu sag","authors":"Huayang Li , Quanyou Liu , Shijie Zhu , Jiaao Chen , Zehui Shi , Rui Xiang","doi":"10.1016/j.enganabound.2025.106279","DOIUrl":"10.1016/j.enganabound.2025.106279","url":null,"abstract":"<div><div>Traditional laboratory methods for determining rock internal friction angles are costly, time-intensive, and limited by core sample quality, yet few studies address this in oil and gas drilling contexts. This research introduces a groundbreaking machine learning framework to predict offshore downhole internal friction angles, leveraging data from the East China Sea’s Xihu Sag. Using four algorithms and six well logging parameters selected via Spearman correlation analysis, we pioneered a systematic comparison of sequential versus random data partitioning. Sequential partitioning markedly reduced model accuracy and generalizability, most notably for KNN, while random partitioning enhanced performance. The XGBoost model excelled, achieving over 99 % accuracy in real downhole predictions with random splitting, showcasing unmatched accuracy, robustness, and generalization. We applied these predictions to assess wellbore stability in the Pinghu Formation using ABAQUS, demonstrating practical utility. This cost-effective, efficient alternative to traditional tests fills a critical gap in drilling research, offering novel insights into data partitioning and model selection. These findings not only advance predictive methodologies in complex geological settings but also provide a robust reference for future studies, underscoring the framework’s scientific rigor and high-value contributions.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"177 ","pages":"Article 106279"},"PeriodicalIF":4.2,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143863634","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

Two-dimensional time-domain boundary element method with impedance boundary condition for unsteady acoustic coupling problems

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-04-23 DOI: 10.1016/j.enganabound.2025.106266

Yilei Fu , Xiaoyu Wang , Guangyu Zhang , Zhiliang Hong

This study develops a two-dimensional time-domain boundary element method to address the acoustic coupling in vortex-sound interaction phenomena, specifically for geometries with impedance boundary conditions. To ensure compatibility with the two-dimensional time-domain boundary integral equation, time and spatial basis functions were used to discretize the improved time-domain admittance boundary condition. The proposed method was validated through the construction of characteristic matrices and numerical results from several typical cases. It demonstrates high accuracy in both internal and external scattering problems, making it well-suited for studies on acoustic coupling.

本研究开发了一种二维时域边界元方法，以解决涡流与声音相互作用现象中的声耦合问题，特别是针对具有阻抗边界条件的几何结构。为确保与二维时域边界积分方程的兼容性，使用了时间和空间基函数来离散改进的时域导纳边界条件。通过构建特征矩阵和几个典型案例的数值结果，对所提出的方法进行了验证。该方法在内部和外部散射问题上都表现出很高的准确性，因此非常适合声耦合研究。

引用次数: 0

Concise semi-analytical solution for group piles impedance function and generalized group factor analysis considering SSI effect

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-04-17 DOI: 10.1016/j.enganabound.2025.106274

Hongwei Hou , Jianbo Li , Zhiyuan Li , Gao Lin

It is foremost to investigate group piles dynamic response for large nuclear island structure considering high-precision soil structure interaction (SSI). However, the existing group piles effect obtained using static stiffness cannot reflect to the frequency dependence, and the spatial coupling characteristics of far-field artificial boundary limits the efficient and fine impedance function computation for large piles under complex foundation conditions. In present paper, a refined impedance function procedure for large-scale group piles is built on the scaled boundary finite element method (SBFEM). The far-field stiffness matrix is made to localize the spatial coupling using decoupling technique, a Runge-Kutta search strategy on frequency with zero-frequency starting is developed to obtain the complete stiffness matrix, and a generalized group factor calculation is proposed. The accuracy and effectiveness are proved with the cases of impedance function for small-scale group piles. At length, some fine large-scale nuclear island group piles model is investigated. All cases demonstrate that the pile impedance function, especially under the condition of layered ground, presents very obvious frequency correlations in the simulation of large-scale nuclear island group piles, which further confirms that the provided method has good engineering applicability.

{"title":"Concise semi-analytical solution for group piles impedance function and generalized group factor analysis considering SSI effect","authors":"Hongwei Hou , Jianbo Li , Zhiyuan Li , Gao Lin","doi":"10.1016/j.enganabound.2025.106274","DOIUrl":"10.1016/j.enganabound.2025.106274","url":null,"abstract":"<div><div>It is foremost to investigate group piles dynamic response for large nuclear island structure considering high-precision soil structure interaction (SSI). However, the existing group piles effect obtained using static stiffness cannot reflect to the frequency dependence, and the spatial coupling characteristics of far-field artificial boundary limits the efficient and fine impedance function computation for large piles under complex foundation conditions. In present paper, a refined impedance function procedure for large-scale group piles is built on the scaled boundary finite element method (SBFEM). The far-field stiffness matrix is made to localize the spatial coupling using decoupling technique, a Runge-Kutta search strategy on frequency with zero-frequency starting is developed to obtain the complete stiffness matrix, and a generalized group factor calculation is proposed. The accuracy and effectiveness are proved with the cases of impedance function for small-scale group piles. At length, some fine large-scale nuclear island group piles model is investigated. All cases demonstrate that the pile impedance function, especially under the condition of layered ground, presents very obvious frequency correlations in the simulation of large-scale nuclear island group piles, which further confirms that the provided method has good engineering applicability.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"176 ","pages":"Article 106274"},"PeriodicalIF":4.2,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143844175","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

Nonlinear free vibration of multi-stepped beams made of functionally graded triply periodic minimal surface materials with FG-GPLRC reinforcements

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-04-17 DOI: 10.1016/j.enganabound.2025.106271

Suppakit Eiadtrong , Tan N. Nguyen , Nuttawit Wattanasakulpong

Stepped beams are crucial in various structural engineering applications. This investigation aims to explore linear and nonlinear vibrational behaviors of multi-stepped beams made of functionally graded triply periodic minimal surface materials with various patterns of graphene platelet (GPL) reinforcements through the thickness. The first order shear deformable theory coupled with von Kármán strains is employed to establish the equations of motion for describing linear and nonlinear vibrations of the beams. To solve the aforementioned problems, a numerical technique based on the generalized Ritz method cooperating with the Fourier sine functions and nodal Lagrangian polynomials is proposed to create the global system composed of several beam sections. The prime factors, such as number of beam steps, step ratio, porous and GPL distributions, boundary conditions, and others, which significantly influence the vibration of the beams, are rigorously investigated. According to the obtained results, in terms of the geometry of the beam, the increase in the number of beam steps and step ratio causes the frequency to rise.

{"title":"Nonlinear free vibration of multi-stepped beams made of functionally graded triply periodic minimal surface materials with FG-GPLRC reinforcements","authors":"Suppakit Eiadtrong , Tan N. Nguyen , Nuttawit Wattanasakulpong","doi":"10.1016/j.enganabound.2025.106271","DOIUrl":"10.1016/j.enganabound.2025.106271","url":null,"abstract":"<div><div>Stepped beams are crucial in various structural engineering applications. This investigation aims to explore linear and nonlinear vibrational behaviors of multi-stepped beams made of functionally graded triply periodic minimal surface materials with various patterns of graphene platelet (GPL) reinforcements through the thickness. The first order shear deformable theory coupled with von Kármán strains is employed to establish the equations of motion for describing linear and nonlinear vibrations of the beams. To solve the aforementioned problems, a numerical technique based on the generalized Ritz method cooperating with the Fourier sine functions and nodal Lagrangian polynomials is proposed to create the global system composed of several beam sections. The prime factors, such as number of beam steps, step ratio, porous and GPL distributions, boundary conditions, and others, which significantly influence the vibration of the beams, are rigorously investigated. According to the obtained results, in terms of the geometry of the beam, the increase in the number of beam steps and step ratio causes the frequency to rise.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"177 ","pages":"Article 106271"},"PeriodicalIF":4.2,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143837904","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

Performance analysis of asphalt pavement on fractional viscoelastic saturated subgrade under moving loads 移动荷载下部分粘弹性饱和基层上的沥青路面性能分析

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-04-15 DOI: 10.1016/j.enganabound.2025.106269

Zhi Yong Ai, Zheng Xu, Li Wei Shi, Xing Kai Wang

This paper investigates the performance analysis of asphalt pavement on fractional viscoelastic saturated subgrade subjected to moving loads. Firstly, the thermoviscoelastic constitutive equation of asphalt pavement is derived by using the fractional viscoelastic Zener model, time-temperature superposition principle (TTSP) and Williams-Landel-Ferry (WLF) equation. Subsequently, the dynamic governing equations of saturated subgrade are established by the Biot theory. These equations are further generalized to address viscoelastic behavior through the fractional calculus theory and the principle of dynamic elastic-viscoelastic correspondence. With the combination of the boundary and interlayer contact conditions of the pavement-subgrade system, the solutions of this system are obtained by using the double Fourier transform, extended precise integration method (PIM) and the Fourier inverse transformation technique. Finally, the impacts of fractional order, temperature, asphalt surface thickness and moving load speed are conducted based on the theoretical validation. The results show that the maximum pavement deflection increases by about 50 % with the temperature increasing per 10 °C. When the fractional order is 0, the peak pore water pressure is >30 % higher than that under other fractional order conditions. The maximum pavement deflection increases by about 10 % and the pore pressure decreases by about 4 % with the asphalt surface thickness increasing per 5 cm.

{"title":"Performance analysis of asphalt pavement on fractional viscoelastic saturated subgrade under moving loads","authors":"Zhi Yong Ai, Zheng Xu, Li Wei Shi, Xing Kai Wang","doi":"10.1016/j.enganabound.2025.106269","DOIUrl":"10.1016/j.enganabound.2025.106269","url":null,"abstract":"<div><div>This paper investigates the performance analysis of asphalt pavement on fractional viscoelastic saturated subgrade subjected to moving loads. Firstly, the thermoviscoelastic constitutive equation of asphalt pavement is derived by using the fractional viscoelastic Zener model, time-temperature superposition principle (TTSP) and Williams-Landel-Ferry (WLF) equation. Subsequently, the dynamic governing equations of saturated subgrade are established by the Biot theory. These equations are further generalized to address viscoelastic behavior through the fractional calculus theory and the principle of dynamic elastic-viscoelastic correspondence. With the combination of the boundary and interlayer contact conditions of the pavement-subgrade system, the solutions of this system are obtained by using the double Fourier transform, extended precise integration method (PIM) and the Fourier inverse transformation technique. Finally, the impacts of fractional order, temperature, asphalt surface thickness and moving load speed are conducted based on the theoretical validation. The results show that the maximum pavement deflection increases by about 50 % with the temperature increasing per 10 °C. When the fractional order is 0, the peak pore water pressure is >30 % higher than that under other fractional order conditions. The maximum pavement deflection increases by about 10 % and the pore pressure decreases by about 4 % with the asphalt surface thickness increasing per 5 cm.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"176 ","pages":"Article 106269"},"PeriodicalIF":4.2,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143828440","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}

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