Article
Construction & Building Technology
Yaocai Ma, Aizhong Lu, Hui Cai, Xiangtai Zeng
Summary: An analytical solution is proposed for studying the plastic zones developed around two circular tunnels with unequal size excavated in intact rock governed by the Mohr-Coulomb yield criterion. The solution involves the use of conformal transformation to map the elastic-plastic interfaces on the physical plane onto an annulus on the image plane. A set of nonlinear equations involving mapping function coefficients is constructed, and the differential-evolution algorithm is used to solve these equations.
TUNNELLING AND UNDERGROUND SPACE TECHNOLOGY
(2022)
Article
Engineering, Multidisciplinary
Jiayun Liang, Jie Cui, Yi Lu, Yadong Li, Yi Shan
Summary: The aim of this study is to understand the collapse mechanism of a shallow tunnel by using the upper bound analysis method and considering the variational approach for the problem with variable endpoints. The results show that the collapse curves obtained using the variational method of the variable endpoints problem are smaller than those obtained using the variational method of the fixed endpoints problem. The study highlights the importance of a sufficiently small excavation width and sufficient support for the overlying rock mass to prevent collapse.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Construction & Building Technology
Haitao Yu, Qi Wang
Summary: This paper presents an analytical solution for the seismic response of deep circular tunnels covered by an isolation layer to mitigate seismic damage. The study shows that the elastic modulus and thickness of the isolation layer, as well as the tunnel-isolation layer interface conditions, have significant influences on the seismic mitigation effect.
TUNNELLING AND UNDERGROUND SPACE TECHNOLOGY
(2021)
Article
Engineering, Multidisciplinary
Huangcheng Fang, Dingli Zhang, Chengjun Huang, Qian Fang, Mozhen Zhou, Liqiang Cao
Summary: A novel analytical method is proposed to calculate the ground movement and stress caused by excavating multiple tunnels. The method introduces an enhanced potential function to obtain solutions of high accuracy directly without iteration. The key advantage is the ability to analyze the mechanical response of arbitrary-shaped shallow tunnels, including multiple excavations and complicated lining structures.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Chemistry, Multidisciplinary
Zhongkai Huang
Summary: This study introduces an integrated framework for evaluating the resilience of shallow circular tunnels under earthquakes using fragility and restoration functions. A typical tunnel in Shanghai, China is examined using numerical analysis, resulting in the determination of lining responses under various levels of seismic intensities. Fragility functions and direct seismic loss are generated based on numerical results, and the resilience index is derived using fragility functions and existing tunnel restoration functions. The study finds that tunnel resilience decreases as earthquake intensity increases.
APPLIED SCIENCES-BASEL
(2022)
Article
Computer Science, Interdisciplinary Applications
Zhi Yong Ai, Yi Xuan Pan, Zi Kun Ye, Ke Xin Hu
Summary: This paper develops a method to obtain stress solution for shallow elliptical tunnels with transversely isotropic surrounding rock. The method uses the Schwarz alternating method and a MATLAB program for numerical simulation. The results are compared with existing solutions and ABAQUS software, demonstrating the rationality and correctness of the theory. The paper also discusses the influence of factors such as rock and soil transverse isotropy, tunnel depth, and tunnel aspect ratio on the stress distribution around the tunnel.
COMPUTERS AND GEOTECHNICS
(2023)
Article
Geochemistry & Geophysics
Chong Jiang, Haixia Han, Hansong Xie, Jing Liu, Zhao Chen, Huawei Chen
Summary: This study provides two new analytical solutions for high-pressure water tunnels in caverns, which can be used to predict seepage inflow and seepage force in actual engineering. The research shows that there is a consistent curve relationship between the analytical solution and numerical solution as the permeability coefficient beta increases, and beta also changes when tunnel structural parameters vary.
Article
Engineering, Mechanical
Lifeng Ma, Zhiyi Tang, Zitong Bian, Junbei Zhu, Marian Wiercigroch
Summary: This paper presents an analytical solution for circular inhomogeneous inclusions in plane elasticity problems, using complex variable potential and Green's function method. By overcoming the main challenge in solving inhomogeneous inclusion problems, a general explicit analytical solution is derived. The introduced formulation has potential applications in mechanics of fiber composites, thermoelasticity, and nano-mechanics of defects in solids.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Engineering, Geological
Wenzhu Ma, Yixiang Song, Song Zhang, Dongming Gu, Jiwei Zhang
Summary: This paper proposes a closed-form solution for bolts-grouting reinforcement considering seepage in water-rich tunnels. The solution takes into account the effect of grouting reinforcement on the surrounding rock using parameters such as shear modulus and permeability coefficient. The results of the closed-form solution are shown to be equivalent to those obtained using finite element methods. The study also discusses the impact of different parameters on the maximum shear stress and displacement of the surrounding rock, and presents a bolts-grouting design method for a specific tunnel section.
ROCK MECHANICS AND ROCK ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Yun Long Zhang, Zhi Yong Ai, Yong Zhi Zhao, Wei Tao Ji, Guang Yun Gao
Summary: This paper derives an analytical layer-element solution for layered saturated porous media under non-axisymmetric horizontal transient loadings. The solution is obtained by combining each single layer element and utilizing integral transform inversions. Numerical examples are conducted to validate the proposed method and program, and to investigate the effects of load conditions and media parameters on the dynamic response of multilayered poroelastic media under horizontal transient circular loads.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Engineering, Multidisciplinary
Zhang Junwei, Zeng Xutao, Tan Yang
Summary: This study investigates the effects of groundwater seepage forces on deep tunnels in unfavorable geology excavated under high groundwater tables. An analytical solution for groundwater pressure in different strata is obtained through theoretical derivation and numerical analysis, providing valuable insights for the construction and operation safety of deep pressure tunnels in composite stratum under high groundwater tables.
AIN SHAMS ENGINEERING JOURNAL
(2021)
Article
Engineering, Geological
Jin Yu, Chonghong Ren, Yanyan Cai, Wei Yao, Xueying Liu
Summary: This paper presents an analytical approach for quantitatively evaluating the dynamic evolution process of the self-bearing capacity of tunnels, including the time-dependent self-bearing factor and time-dependent deformations. By investigating the sensitivities of time-dependent self-bearing factor and deformation to model parameters, it reveals their consistency with physical meanings.
INTERNATIONAL JOURNAL OF GEOMECHANICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Anfeng Hu, Senlin Xie, Zhirong Xiao, Xunjian Hu, Meihui Wang, Yuan Chen, Yiyang Chen
Summary: This paper presents a novel analytical solution for the consolidation behavior of viscoelastic saturated soft soil under large-scale ground loading. The study shows that the soil permeability coefficient, Newtonian viscosity coefficient, and Hooke's spring modulus have significant influences on the dissipation of excess pore water pressure and the degree of consolidation. The permeability condition of the tunnel also affects the distribution of excess pore water pressure in the soil layer above the tunnel.
COMPUTERS AND GEOTECHNICS
(2024)
Article
Engineering, Civil
Fengran Wei, Huaning Wang, Guangshang Zeng, Mingjing Jiang
Summary: A new analytical solution is proposed for steady seepage flow around twin circular tunnels in fully saturated anisotropic ground. The solution satisfies all the boundary conditions and considers the different permeabilities along two directions and the interactions between twin tunnels. It provides a fast approach for estimating the seepage field and is a useful tool for design optimization.
Article
Construction & Building Technology
Pengfei Li, Yingjie Wei, Mingju Zhang, Qingfei Huang, Fan Wang
Summary: This paper analyzes the influence of non-associated flow rule on passive face instability for shallow shield tunnels through numerical simulations, proposing a log-spiral mechanism and finding significant impacts of dilation angle on limit support pressures and failure mechanisms. Comparison with existing models indicates the proposed log-spiral model accurately analyzes face instability in blow-out scenarios.
TUNNELLING AND UNDERGROUND SPACE TECHNOLOGY
(2022)
Article
Engineering, Multidisciplinary
A. A. Aganin, A. I. Davletshin
Summary: A mathematical model of interaction of weakly non-spherical gas bubbles in liquid is proposed in this paper. The model equations are more accurate and compact compared to existing analogs. Five problems are considered for validation, and the results show good agreement with experimental data and numerical solutions. The model is also used to analyze the behavior of bubbles in different clusters, providing meaningful insights.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Hao Wu, Jie Sun, Wen Peng, Lei Jin, Dianhua Zhang
Summary: This study establishes an analytical model for the coupling of temperature, deformation, and residual stress to explore the mechanism of residual stress formation in hot-rolled strip and how to control it. The accuracy of the model is verified by comparing it with a finite element model, and a method to calculate the critical exit crown ratio to maintain strip flatness is proposed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Shengwen Tu, Naoki Morita, Tsutomu Fukui, Kazuki Shibanuma
Summary: This study aimed to extend the finite element method to cope with elastic-plastic problems by introducing the s-version FEM. The s-version FEM, which overlays a set of local mesh with fine element size on the conventional FE mesh, simplifies domain discretisation and provides accurate numerical predictions. Previous applications of the s-version FEM were limited to elastic problems, lacking instructions for stress update in plasticity. This study presents detailed instructions and formulations for addressing plasticity problems with the s-version FEM and analyzes a stress concentration problem with linear/nonlinear material properties.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bo Fan, Zhongmin Wang
Summary: A 3D rotating hyperelastic composite REF model was proposed to analyze the influence of tread structure and rotating angular speed on the vibration characteristics of radial tire. Nonlinear dynamic differential equations and modal equations were established to study the effects of internal pressure, tread pressure sharing ratio, belt structure, and rotating angular speed on the vibration characteristics.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
X. W. Chen, Z. Q. Yue, Wendal Victor Yue
Summary: This paper examines the axisymmetric problem of a flat mixed-mode annular crack near and parallel to an arbitrarily graded interface in functionally graded materials (FGMs). The crack is modeled as plane circular dislocation loop and an efficient solution for dislocation in FGMs is used to calculate the stress field at the crack plane. The analytical solutions of the stress intensity factors are obtained and numerical study is conducted to investigate the fracture mechanics of annular crack in FGMs.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xumin Guo, Jianfei Gu, Hui Li, Kaihua Sun, Xin Wang, Bingjie Zhang, Rangwei Zhang, Dongwu Gao, Junzhe Lin, Bo Wang, Zhong Luo, Wei Sun, Hui Ma
Summary: In this study, a novel approach combining the transfer matrix method and lumped parameter method is proposed to analyze the vibration response of aero-engine pipelines under base harmonic and random excitations. The characteristics of the pipelines are investigated through simulation and experiments, validating the effectiveness of the proposed method.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xiangyu Sha, Aizhong Lu, Ning Zhang
Summary: This paper investigates the stress and displacement of a layered soil with a fractional-order viscoelastic model under time-varying loads. The correctness of the solutions is validated using numerical methods and comparison with existing literature. The research findings are of significant importance for exploring soil behavior and its engineering applications under time-varying loads.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Thuy Dong Dang, Thi Kieu My Do, Minh Duc Vu, Ngoc Ly Le, Tho Hung Vu, Hoai Nam Vu
Summary: This paper investigates the nonlinear torsional buckling of corrugated core sandwich toroidal shell segments with functionally graded graphene-reinforced composite (FG-GRC) laminated coatings in temperature change using the Ritz energy method. The results show the significant beneficial effects of FG-GRC laminated coatings and corrugated core on the nonlinear buckling responses of structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Zhihao Zhai, Chengbiao Cai, Qinglai Zhang, Shengyang Zhu
Summary: This paper investigates the effect of localized cracks induced by environmental factors on the dynamic performance and service life of ballastless track in high-speed railways. A mathematical approach for forced vibrations of Mindlin plates with a side crack is derived and implemented into a train-track coupled dynamic system. The accuracy of this approach is verified by comparing with simulation and experimental results, and the dynamic behavior of the side crack under different conditions is analyzed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
James Vidler, Andrei Kotousov, Ching-Tai Ng
Summary: The far-field methodology, developed by J.C. Maxwell, is utilized to estimate the effective third order elastic constants of composite media containing random distribution of spherical particles. The results agree with previous studies and can be applied to homogenization problems in other fields.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Kim Q. Tran, Tien-Dat Hoang, Jaehong Lee, H. Nguyen-Xuan
Summary: This study presents novel frameworks for graphene platelets reinforced functionally graded triply periodic minimal surface (GPLR-FG-TPMS) plates and investigates their performance through static and free vibration analyses. The results show that the mass density framework has potential for comparing different porous cores and provides a low weight and high stiffness-to-weight ratio. Primitive plates exhibit superior performance among thick plates.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bence Hauck, Andras Szekrenyes
Summary: This study explores several methods for computing the J-integral in laminated composite plate structures with delamination. It introduces two special types of plate finite elements and a numerical algorithm. The study presents compact formulations for calculating the J-integral and applies matrix multiplication to take advantage of plate transition elements. The models and algorithms are applied to case studies and compared with analytical and previously used finite element solutions.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Wu Ce Xing, Jiaxing Wang, Yan Qing Wang
Summary: This paper proposes an effective mathematical model for bolted flange joints to study their vibration characteristics. By modeling the flange and bolted joints, governing equations are derived. Experimental studies confirm that the model can accurately predict the vibration characteristics of multiple-plate structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Pingchao Yu, Li Hou, Ke Jiang, Zihan Jiang, Xuanjun Tao
Summary: This paper investigates the imbalance problem in rotating machinery and finds that mass imbalance can induce lateral-torsional coupling vibration. By developing a model and conducting detailed analysis, it is discovered that mass imbalance leads to nonlinear time-varying characteristics and there is no steady-state torsional vibration in small unbalanced rotors. Under largely unbalanced conditions, both resonant and unstable behavior can be observed, and increasing lateral damping can suppress instability and reduce lateral amplitude in the resonance region.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Yong Cao, Ziwen Guo, Yilin Qu
Summary: This paper investigates the mechanically induced electric potential and charge redistribution in a piezoelectric semiconductor cylindrical shell. The results show that doping levels can affect the electric potentials and mechanical displacements, and alter the peak position of the zeroth-order electric potential. The doping level also has an inhibiting effect on the first natural frequency. These findings are crucial for optimizing the design and performance of cylindrical shell-shaped sensors and energy harvesters.
APPLIED MATHEMATICAL MODELLING
(2024)