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Level excursion analysis of probabilistic quasibrittle fracture

Science China(Technological Sciences) 2020年第7期63卷 1141-1153页

作者： LE jia-liang Department of Civil Environmentaland Geo-EngineeringUniversity of MinnesotaMinneapolis 55455USA

It has widely been acknowledged that no structures can be designed to be risk free, and therefore reliability analysis plays an essential role in the design of engineering structures. The recent focus has been placed on structures made of brittle heterogenous(a.k.a. quasibrittle) materials, such as ceramics, composites, concrete, rock, cold asphalt mixture, and many more at the microscale. This paper presents a level excursion model for the analysis of probabilistic failure of quasibrittle structures, in which the failure statistics is calculated as a first passage probability. The model captures both the spatial randomness of local material resistance and the random stress field induced by microstructures(e.g. randomly distributed flaws). The model represents a generalization of the classical weakest-link model at the continuum limit and it recovers the classical Weibull distribution as an asymptotic distribution function. The paper discusses two applications of the model. The model is first applied to the strength distribution of polycrystalline silicon(poly-Si) MEMS specimens. It is shown that the model agrees well with the experimentally measured strength distributions of poly-Si MEMS specimens of different sizes. The model predicts a complete size effect curve of the mean structural strength transitioning from a vanishing size effect at the small-size limit to the classical Weibull size effect at the large-size limit. The second application is concerned with the left tail of strength distribution of quasibrittle *** taking into account both random stress and strength fields, the model is used to investigate the origin of the power-law tail distribution of structural strength.

关键词： quasibrittle materials strength distribution first passage analysis Weibull statistics size effect

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Nonuniqueness of Solutions of a Class of0-minimization Problems

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Journal of the Operations Research Society of China 2021年第4期9卷 893-908页

作者： jia-liang Xu Hua Loo-Keng Center for Mathematical Sciences Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China

Recently,finding the sparsest solution of an underdetermined linear system has become an important request in many areas such as compressed sensing,image processing,statistical learning,and data sparse *** this paper,we study some theoretical properties of the solutions to a general class of0-minimization problems,which can be used to deal with many practical *** establish some necessary conditions for a point being the sparsest solution to this class of problems,and we also characterize the conditions for the multiplicity of the sparsest solutions to the ***,we discuss certain conditions for the boundedness of the solution set of this class of problems.

关键词： 0-minimization Sparsity Nonuniqueness Boundedness

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A Universal Construction of Calogero-Moser System with Two Types Spins Interaction

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Communications in Theoretical Physics 2019年第5期71卷 533-544页

作者： jia-liang Dai Department of Physics Zhejiang UniversityHangzhou 310027China

We present universal construction for the Calogero-Moser system with two types spins interaction of trigonometric potential based on the root system of semi-simple Lie algebra. In this formalism, we successfully build up the correct Lax pair as well as the R-matrix for this generalized Calogero-Moser models. Moreover using the property of root system, we make a concise explanation that in the quantized model, the R-matrix takes the same form as the classical one, which is the main new result of this paper.

关键词： root system spin Calogero-Moser system Lax pair R-matrix quantized model

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Big Theta Equals Small Theta Generically

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Acta Mathematica Sinica,English Series 2024年第3期40卷 717-730页

作者： Rui CHEN jia liang ZOU Institute for Advanced Study in Mathmatics Zhejiang UniversityHangzhou 310058P.R.China Department of Mathematics University of Michigan530 Church StAnn ArborMI 48109USA

In this paper we consider the theta correspondence over a non-Archimedean local *** the homological method and the theory of derivatives,we show that under a mild condition the bigtheta lift is irreducible.

关键词： Theta correspondence derivatives

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Intermittent Fault Diagnosability of Interconnection Networks

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Journal of Computer Science & Technology 2017年第6期32卷 1279-1287页

作者： jia-Rong liang Hao Feng Xiaojiang Du School of Computer and Electronic Information Guangxi University Nanning 530004 China Department of Computer and Information Sciences Temple University Philadelphia PA 19122 U.S.A.

An interconnection network＇s diagnosability is an important metric for measuring its self-diagnostic capability. Permanent fault and intermittent fault are two different fault models that exist in an interconnection network. In this paper, we focus on the problem pertaining to the diagnosability of interconnection networks in an intermittent fault situation. First, we study a class of interconnection networks called crisp three-cycle networks, in which the Chin-number （the number of common vertices each pair of vertices share） is no more than one. Necessary and sufficient conditions are derived for the diagnosability of crisp three-cycle networks under the PMC （Preparata, Metze, and Chien） model. A simple check can show that many well-known intereonnection networks are crisp three-cycle networks. Second, we prove that an intereonnection network S is a ti-fault diagnosable system without repair if and only if its minimum in-degree is greater than ti under the BGM （Barsi, Grandoni, and Masetrini） model. Finally, we extend the necessary and sufficient conditions to determine whether an interconnection network S is ti-fault diagnosable without repair under the MM （Maeng and Malek） model from the permanent fault situation to the intermittent fault situation.

关键词： diagnosability intermittent fault PMC(Preparata,Metze,and Chien)model BGM(Barsi,Grandoni,and Masetrini)model MM(Maeng and Malek)model

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Effective Identification and Annotation of Fungal Genomes

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Journal of Computer Science & Technology 2021年第2期36卷 248-260页

作者： jian Liu jia-liang Sun Yong-Zhuang Liu College of Computer Science Nankai UniversityTianjin 300350China School of Computer Science and Technology Harbin Institute of TechnologyHarbin 150001China

In the past few decades,the dangers of mycosis have caused widespread *** the development of the sequencing technology,the effective analysis of fungal sequencing data has become a *** the gradual increase of fungal sequencing data,there is now a lack of sufficient approaches for the identification and functional annotation of fungal chromosomal *** overcome this challenge,this paper firstly deals with the approaches of the identification and annotation of fungal genomes based on short and long reads sequenced by using multiple platforms such as Illumina and *** this paper develops an automated bioinformatics pipeline called PFGI for the identification and annotation *** experimental evaluation on a real-world dataset ENA(European Nucleotide Archive)shows that PFGI provides a user-friendly way to perform fungal identification and annotation based on the sequencing data analysis,and could provide accurate analyzing results,accurate to the species level(97%sequence identity).

关键词： fungal genome fungal identification bioinformatics pipeline

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Numerical Study of the Influences of a Monsoon Gyre on Intensity Changes of Typhoon Chan-Hom(2015)

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Advances in Atmospheric Sciences 2018年第5期35卷 567-579页

作者： jia liang Liguang WU Guojun GU Pacific Typhoon Research Center Key Laboratory of Meteorological Disaster Ministry of Education Nanjing University of Information Science and Technology Nanjing 210044 China State Key Laboratory of Severe Weather Chinese Academy of Meteorological Sciences Beijing 100081 China Earth System Science Interdisciplinary Center University of Maryland College Park Maryland 20740 USA

Typhoon Chan-Hom （2015） underwent a weakening in the tropical western North Pacific （WNP） when it interacted with a monsoon gyre, but all operational forecasts failed to predict this intensity change. A recent observational study indicated that it resulted from its interaction with a monsoon gyre on the 15-30-day timescale. In this study, the results of two numerical experiments are presented to investigate the influence of the monsoon gyre on the intensity changes of Typhoon Chan-Hom （2015）. The control experiment captures the main observed features of the weakening process of Chan-Hom （2015） during a sharp northward turn in the Philippine Sea, including the enlargement of the eye size, the development of strong convection on the eastern side of the monsoon gyre, and the corresponding strong outer inflow. The sensitivity experiment suggests that intensity changes of Chan-Hom （2015） were mainly associated with its interaction with the monsoon gyre. When Chan-Horn （2015） initially moved westward in the eastern part of the monsoon gyre, the monsoon gyre enhanced the inertial stability for the intensification of the typhoon. With its coalescence with the monsoon gyre, the development of the strong convection on the eastern side of the monsoon gyre prevented moisture and mass entering the inner core of Chan-Hom （2015）, resulting in the collapse of the eyewall. Thus, the weakening happened in the deep tropical WNP region. The numerical simulations confirm the important effects of the interaction between tropical cyclones and monsoon gyres on tropical cyclone intensity.

关键词： monsoon gyre intensity change numerical simulation

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Idealized Numerical Simulations of Tropical Cyclone Formation Associated with Monsoon Gyres

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Advances in Atmospheric Sciences 2014年第2期31卷 305-315页

作者： liang jia WU Liguang ZONG Huijun Key Laboratory of Meteorological Disasters of the Ministry of Education Nanjing University of Information Science and Technology State Key Laboratory of Severe Weather Chinese Academy of Meteorological Sciences

Monsoon gyres have been identified as one of the important large-scale circulation patterns associated with tropical cyclone （TC） formation in the western North Pacific.A recent observational analysis indicated that most TCs form near the center of monsoon gyres or at the northeast end of the enhanced low-level southwesterly flows on the southeast-east periphery of monsoon *** the present reported study,idealized numerical experiments were conducted to examine the tropical cyclogenesis associated with Rossby wave energy dispersion with an initial idealized monsoon *** numerical simulations showed that the development of the low-level enhanced southwesterly flows on the southeasteast periphery of monsoon gyres can be induced by Rossby wave energy *** convective systems emerged from the northeast end of the enhanced southwesterly flows with mid-level maximum relative *** simulated TC formed in the northeast of the monsoon gyre and moved westward towards the center of the monsoon *** numerical experiment with a relatively smaller sized initial monsoon gyre showed the TC forming near the center of the initial monsoon *** results of the present study suggest that Rossby wave energy dispersion can play an important role in TC formation in the presence of monsoon gyres.

关键词： monsoon gyre tropical cyclone formation idealized numerical simulation

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Assessing the impact on groundwater safety of inter-basin water transfer using a coupled modeling approach

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Frontiers of Environmental Science & Engineering 2015年第1期9卷 84-95页

作者： Haifeng jia Shidong liang Yansong ZHANG School of Environment Tsinghua University Beijing 100084 China

Surface water and groundwater always behave in a coupled manner and are major components of hydrologic cycle. However, surface water simulation models and groundwater simulation models are run separately most of the time. Few models focus on the impact of hydraulic changes in the surface water flows on the groundwater, or specifically, the impact of a water transfer project to fill a seasonally dry channel. In this study, a linked surface water and groundwater simulation model was developed to assess the impact of a trans-basin water diversion project on the groundwater. A typical plain area east of Beijing was selected as a case study, representing Beijing＇s main source of groundwater used for drinking water. A surface water quality model of the Chaobai River was developed based on the Water Quality Analysis Simulation Program （WASP）, and a groundwater model was developed based on the Modular Finite- Difference Groundwater Flow Model （MODFLOW） and the Modular 3-D transport model （MT3D）. The results of the surface water simulation were used as input for the groundwater simulation. Water levels and four contaminants （NH3-N, CODMn, F, As） were simulated. With the same initial and boundary conditions, scenario analyses were performed to quantify the impact of different quantities of diversion water on the groundwater environment. The results showed the water quality of the groundwater sources was not significantly affected.

关键词： surface water groundwater linked model,groundwater safety impact assessment water diversion

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Mechanical Properties of Lime-Fly Ash-Sulphate Aluminum Cement Stabilized Loess

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Journal of Renewable Materials 2020年第10期8卷 1357-1373页

作者： liang jia Chunxiang Li jian Guo College of Civil Engineering Lanzhou University of TechnologyLanzhou730050China

Lime-fly ash stabilized loess has a poor early strength,which results in a later traffic opening time when it is used as road-base *** of the significant early strength characteristics of sulphate aluminum cement(SAC),it is always added into the lime-fly ash mixtures to improve the early strength of stabilized ***,there is a scarcity of research on the mechanical behavior of lime-fly ash-SAC stabilized loess and there is a lack of quantitative evaluation of loess stabilized with binder *** research explored the effects of the amount of binder materials,curing time and porosity on the unconfined compressive strength(UCS),splitting tensile strength(STS),cohesion(c)and friction angle(φ)of lime-fly ash-SAC stabilized loess by a series of unconfined compressive tests(UCT)and splitting tensile tests(STT).The results indicate that an increase in curing time and a decrease in porosity lead to a continuous increase in the UCS and STS for lime-fly ash-SAC stabilized *** addition of SAC has a prominent enhancement in the early strength of lime-fly ash-SAC stabilized *** the curing time,porosity,and binder content were constant,the UCS and STS increase with increasing SAC content;For a stabilized loess with 30%binder content and 5%SAC content after 1 day of curing,the UCS was greater than 0.7 MPa,which meets the requirement of opening traffic,so lime-fly ash-SAC stabilized loess could be used as an excellent maintenance material for road-base;In accordance with the analysis of testing data,empirical relationships between the UCS and STS of lime-fly-SAC stabilized loess and key effect factors(binder materials content,curing time and porosity)were developed,which can provide references for reasonably selecting the amount of binder materials,compaction degree and curing period to meet the required strength of practical ***,based on the Mohr-Coulomb theory and the above empirical relationships,a simpler method f

关键词： Loess sulphate aluminum cement unconfined compressive strength splitting tensile strength

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