Article
Engineering, Multidisciplinary
Yi Gao, Yang Jiao, Yongming Liu
Summary: This paper introduces a novel methodology for probabilistic material reliability analysis considering fine-scale microstructure stochasticity, addressing challenges of handling uncertainties and dimensionality for probabilistic solvers. By utilizing analytical and hierarchical uncertainty quantification methods and forming a probabilistic solver with adjoint first-order reliability method, the proposed approach demonstrates high efficiency in solving high-dimensional material reliability problems.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Engineering, Environmental
Bin Zhu, Tetsuya Hiraishi
Summary: The efficient discretization of high definition and large geometric size multidimensional random fields remains a challenge. This study proposes a decomposed K-L expansion method for the discretization of a 3-D random field. The method decomposes the 3-D random field into separate one-dimensional random fields and computes the eigenpairs in each dimension respectively. The proposed method significantly reduces the computational time and memory requirements compared to the traditional K-L expansion method, making it potentially useful for stochastic finite element analysis.
STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT
(2023)
Article
Engineering, Mechanical
A. T. Fabro, H. Meng, D. Chronopoulos
Summary: This study investigates the effects of correlated disorder on the vibration attenuation of rainbow metamaterials, using a multi-frequency metastructure model to analyze the impact of correlated disorder. It shows that a combination of gradient profile with some level of disorder tends to give improved vibration attenuation compared to an optimized gradient rainbow metamaterial, opening new possibilities for designing broadband rainbow metastructures for vibration attenuation.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
(2021)
Article
Mathematics, Interdisciplinary Applications
Natalie Rauter
Summary: This study presents a modeling approach for short fiber-reinforced composites that considers microstructure information, generating random fields using correlation functions and conducting linear elastic numerical simulations at different scales. Experimental validation on the mesoscale shows good conformity with numerical simulations, and comparison with tensile tests suggests that three-dimensional information of microstructure probabilistic characteristics is required for accurate numerical modeling on the component level.
COMPUTATIONAL MECHANICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Zhanjun Shao, Xiumei Li, Ping Xiang
Summary: Due to uncertainties, deterministic analysis cannot accurately represent structural performance. Stochastic analysis considers multiple uncertainty factors and increases confidence in the analysis results. A new stochastic computational scheme called KL-MPSM, combining Karhunen-Loeve (K-L) expansion and modified perturbation stochastic finite element method (MPSFEM), is proposed for structures with low-level uncertainties. The scheme uses K-L expansion to discretize material parameters as random fields and utilizes MPSFEM to estimate the first two order moments (mean and variance) of structural responses. The reliability indexes and failure probabilities of the structures are computed using the second-order estimates and JC method. Numerical examples of a deep beam and a plane frame structure demonstrate the feasibility of KL-MPSM and explore random field properties. Results show that KL-MPSM offers good accuracy, efficiency, and programming advantages, making it suitable for static stochastic analysis of structures with low-level uncertainties.
COMPUTATIONAL MECHANICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Xin Lin, Xiaohui Tan, Yuchuan Yao, Xiaole Dong, Suozhu Fei, Lei Ma
Summary: This article introduces the random field theory used to describe the spatial variability of geomaterial, and explains the principles of Karhunen-Loeve series expansion (K-L expansion) and Galerkin method for calculating the approximate solution. To simulate the random field more quickly and accurately, a Jacobi-Lagrange-Galerkin (JLG) method is proposed, which transforms the multiple integrals into simple matrix multiplications implemented in a MATLAB environment. The parameters of the JLG method are determined by discussing the discretization error and its influencing factors. The computational efficiency, accuracy, and applicability of the JLG method are demonstrated through examples.
COMPUTERS AND GEOTECHNICS
(2022)
Article
Chemistry, Physical
Wenyi Du, Juan Ma, Changhu Zhou, Yongchun Yan, Peter Wriggers
Summary: This work presents a robust non-deterministic free vibration analysis for engineering structures with random field parameters using the stochastic finite element method. The uncertainty of structural material parameters is described using Gauss random field theory and the random parameters are discretized with the Karhunen-Loeve expansion method. The structural dynamic characteristics are analyzed based on the discretized random parameters and finite element method, and the probability distribution density function of the random natural frequency is estimated.
Article
Engineering, Multidisciplinary
Ramin Jahanbin, Sharif Rahman
Summary: This paper presents a new stochastic method, called SDD-mIGA, which integrates spline dimensional decomposition (SDD) of a high-dimensional random function and isogeometric analysis (IGA) on arbitrary multipatch geometries to solve stochastic boundary-value problems from linear elasticity. The proposed method can handle arbitrary multipatch domains in IGA and uses least-squares regression to efficiently estimate the SDD expansion coefficients for uncertainty quantification applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics, Applied
V. Bevia, J. Calatayud, J. -c. Cortes
Summary: This paper presents new probabilistic results for a class of random two-dimensional homogeneous heat equations with mixed homogeneous Dirichlet and Neumann boundary conditions. Pointwise convergent approximations for the main moments and density of the solution are constructed.
APPLIED MATHEMATICS LETTERS
(2023)
Article
Engineering, Civil
Mikkel Lovenskjold Larsen, Sondipon Adhikari, Vikas Arora
Summary: This study focuses on the stochastic behavior of materials and loading in relation to buckling and analysis of prestressed beam and frame structures. Stochastic stiffness and stress stiffness matrices are developed for stochastic and buckling analysis, utilizing the Karhunen-Loève expansion for random fields. The methodology is demonstrated through case studies involving pinned-pinned columns and frame structures.
ENGINEERING STRUCTURES
(2021)
Article
Statistics & Probability
Jean-Baptiste Aubin, Enea G. Bongiorno, Aldo Goia
Summary: This work proposes an analysis of the correction term in the Small-Ball Probability factorization for random elements in a separable Hilbert space. The local nature, meaning, and behavior of the correction term are discussed, along with the derivation of bounds. Nonparametric kernel-type estimators for the statistics are introduced, and their asymptotic properties are provided. Finally, a local approach for selecting the dimensionality in reconstructing a sample of curves using truncated Karhunen-Loeve expansion is illustrated through numerical and real data examples.
JOURNAL OF MULTIVARIATE ANALYSIS
(2022)
Article
Engineering, Mechanical
Zhibao Zheng, Marcos Valdebenito, Michael Beer, Udo Nackenhorst
Summary: This paper focuses on the simulation of random fields on random domains, which is an important problem in topology optimization and multiphase material analysis. The authors propose the stochastic Karhunen-Loeve expansion (SKLE) as an extension of the classical Karhunen-Loeve expansion (KLE) to solve this issue. They present three numerical algorithms, including an extended Monte Carlo simulation (MCS), a domain transformation-based method, and a reduced-order method, to efficiently solve the stochastic integral equations in the SKLE. Numerical examples demonstrate the effectiveness of the proposed methods.
PROBABILISTIC ENGINEERING MECHANICS
(2023)
Article
Engineering, Mechanical
A. A. Basmaji, M. M. Dannert, U. Nackenhorst
Summary: A numerical Galerkin scheme based on discontinuous Legendre polynomials is proposed to solve Fredholm integral equation of a second kind for random fields representation. The method provides simple applicability, orthogonality properties, and fast assembly of functions, showing feasibility and accuracy in one-dimensional examples. The convergence properties of the approximated eigenvalues and second moment are confirmed using DLPG approach with h-and p-refinement.
PROBABILISTIC ENGINEERING MECHANICS
(2022)
Article
Mechanics
Shashank Vadlamani, C. O. Arun
Summary: This work presents a stochastic B-spline wavelet interval-based wavelet finite element method for analyzing beams with von Karman nonlinear strains, considering the spatial variation of elasticity. Nonlinear equations are derived using the perturbation approach for evaluating the derivatives of field variables with respect to random variables. Numerical examples show that the proposed method obtains good solutions under different boundary conditions and is compared with Monte Carlo simulation results.
Article
Engineering, Mechanical
Zhibao Zheng, Michael Beer, Udo Nackenhorst
Summary: This paper presents an efficient multi-fidelity scheme to simulate multi-dimensional non-Gaussian random fields. Two numerical algorithms are proposed to generate random samples that satisfy the target covariance function and marginal distribution. The computational effort is reduced by using Karhunen-Loeve expansion.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Geological
Shaohui Liu, Lizhong Jiang, Wangbao Zhou, Jian Yu
Summary: This study evaluates the post-earthquake damage to track-bridge systems by conducting nonlinear time history analysis on a CRTS II ballastless track simply-supported beam system subjected to transverse earthquake loading. It explores the characteristics of residual displacement and stiffness degradation of the track-bridge system under transverse earthquakes. The research investigates the effect of earthquake-induced stiffness degradation on high-speed trains and proposes a reconstruction method for earthquake-induced dynamic irregularity characteristic curve considering probability guarantee rates. The results indicate that earthquake-induced dynamic irregularity can effectively quantify the running performance of high-speed trains under earthquake-induced stiffness degradation conditions.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Rui Zhang, Xiangqian Sheng, Wenliang Fan
Summary: This study introduces a novel approach for the probabilistic assessment of seismic earth pressure against nonlinear backfills. Nonlinear upper bound analysis is used to obtain the seismic earth pressure through optimization procedure, and probability analysis of nonlinear backfill properties is considered by combining adaptive dimension decomposition with the direct integral method.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Qiangqiang Sun, Yu Xue, Menghao Hou
Summary: This study investigated the use of Tire-derived aggregate (TDA) as backfill material for geotechnical seismic isolation in utility tunnels. Nonlinear numerical analyses were conducted, and the results showed that TDA backfill was an excellent alternative for risk mitigation during strong earthquakes, significantly reducing deformation and forces. The proposed system could potentially save costs compared to expensive seismic mitigation measures.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Yan-Guo Zhou, Dong-Chao Zhang, Kai Liu, Yun-Min Chen
Summary: This study investigated the large deformations caused by liquefaction in sloping ground and the methods for evaluation and mitigation. Soil element tests and centrifuge model tests were conducted to study the relationship between residual strain and Post-liquefaction Deformation Potential (PLDP). The tests showed that the developments of residual strain were controlled by PLDP, which is correlated with the maximum cyclic shear strain. The applicability of PLDP was verified in model tests, and the mitigation mechanisms of densification and drainage induced by stone columns were observed.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Jiajin Zhao, Zhehao Zhu, Dexuan Zhang, Hao Wang, Xi Li
Summary: This paper studies the fabric properties during sand liquefaction using 3D constant-volume cyclic triaxial DEM tests. The results show good consistency with experimental data. The evolution of fabric characteristics is assessed using the coordination number and mechanical coordination number. The second-order contact normal fabric tensor is introduced to analyze complex inter-particle contacts and the shear strain is used as a bridge to describe the evolution of coordination number and anisotropy degree.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Jinqiang Li, Zilan Zhong, Shurui Wang, Kaiming Bi, Hong Hao
Summary: The corrosion-protection liner technology improves the seismic performance of water supply pipelines and reduces the failure probability under earthquake excitations.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Abdellah Cherif Taiba, Youcef Mahmoudi, Mostefa Belkhatir
Summary: This article provides a comprehensive analysis of Liu et al.'s (2023) published paper in the Soil Dynamics and Earthquake Engineering journal, which examines the impact of particle shape on the wave velocity of sand. By enhancing the content integrity, this article serves as a valuable discussion piece for readers interested in this research topic.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Weijian Zhong, Binbin Li, Yanhui Liu, Ping Tan, Fulin Zhou
Summary: In this paper, the Flexible Limit Protective Device (FLPD) was improved to a Flexible Energy Dissipating Device (FEDD) to better control the seismic response of base-isolated structures. Experimental investigation and numerical simulation were conducted to study the compression behavior and optimize the design of FEDDs. The results showed that FEDDs with optimal parameters effectively reduced isolator displacements and kept the inter-story drift angle within a safe range during earthquakes.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Xinhua Xue, Xiaojie Yuan, Li Tao
Summary: In this study, gene expression programming (GEP) was used to establish the relationship between the capacity energy required to trigger sand liquefaction and several major parameters. The GEP model showed higher accuracy and better performance compared to existing models, as confirmed by experimental data.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Xiao-ling Zhang, Hao Lan, Xian-hui Zhao, Cheng-shun Xu, Ke-min Jia
Summary: The study investigates the reinforcement principle of inclined liquefiable site using concrete pile and gravel pile methods. The results show that concrete piles have a better reinforcement effect on inclined liquefiable site compared to gravel piles, and increasing the diameter of gravel piles greatly improves the reinforcement effect. The pile group reinforcement model is more effective in reducing lateral displacement of the site soil compared to the single pile reinforcement model.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Jinxin Sun, Haoyu Sun, Mengmeng Lu, Bolin Han
Summary: The implementation of stone columns is an effective way to improve the stability of liquefiable soil. However, existing mathematical models often neglect vertical seepage within the soil, leading to calculation errors. This study proposes a new mathematical model that considers both radial and vertical seepage, and conducts a parameter analysis to investigate the effects of column spacing, cyclic stress ratio, and consolidation parameters on excess pore water pressure.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Jonathan F. Hubler, James P. Hanley, Andrew C. Stolte, Liam Wotherspoon, Kyle M. Rollins
Summary: This study performed blast liquefaction tests in an area that experienced extensive liquefaction. It used multi-channel analysis of surface waves (MASW) testing to evaluate changes in shear wave velocity (VS) before and after blasting. The study found that array length has an impact on the immediate changes in VS following blasting, but these changes decrease at 24 hours post-blast.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Lowell Tan Cabangon, Gaetano Elia, Mohamed Rouainia, Suraparb Keawsawasvong, Teraphan Ornthammarath
Summary: The impact of far-field earthquakes on underground structures, especially tunnels, has been relatively less explored compared to near-field earthquakes. However, the study found that far-field earthquakes can generate forces in tunnel lining that are equally destructive as those induced by near-field motions, especially when they contain long-period waves. The amplification of these ground motions in soft natural clays, common in Bangkok, can lead to significant soil displacements and shear strains.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Jinjun Hu, Longbing Ding, Xutong Zhou, Mingji Liu, Jingyang Tan
Summary: Offshore near-fault ground motions during the 2016 OffMie Mw6.0 earthquake in the Nankai Trough of Japan were studied using data from the DONET1 seafloor seismic network. The results show that offshore spectral acceleration and peak ground velocity are higher than onshore values. Analysis of pulse-like ground motions reveals differences in amplitude, frequency content, and energy between offshore and onshore motions. These findings have implications for seismic design of offshore engineering structures.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)
Article
Engineering, Geological
Radu Popescu, Pradipta Chakrabortty
Summary: The natural spatial variability of soil properties affects the mechanical response of geotechnical structures and can deviate failure surfaces. For soil liquefaction induced by seismic activity, it has been found that greater excess pore water pressure is generated in soils with small-scale variability. This paper provides an explanation based on centrifuge experiments and numerical simulations, showing that partial drainage during earthquakes may trigger softening of dilative soils.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2024)