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A wide hybrid zone mediated by precipitation contributed to confused geographical structure of Scutiger boulengeri 被引量:1
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作者 Xiu-Qin Lin Yin-Meng Hou +5 位作者 Wei-Zhao Yang Sheng-Chao Shi Pu-Yang Zheng Chung-Kun Shih Jian-Ping Jiang Feng Xie 《Zoological Research》 SCIE CAS CSCD 2023年第1期3-19,共17页
Confused geographical structure of a population and mitonuclear discordance are shaped by a combination of rapid changes in population demographics and shifts in ecology.In this study,we generated a time-calibrated ph... Confused geographical structure of a population and mitonuclear discordance are shaped by a combination of rapid changes in population demographics and shifts in ecology.In this study,we generated a time-calibrated phylogeny of Scutiger boulengeri,an endemic Xizang alpine toad occurring in mountain streams on the Qinghai-Xizang(Tibet)Plateau(QTP).Based on three mitochondrial DNA(mt DNA)genes,eight clades were assigned to three deeply divergent lineages.Analysis of nuclear DNA(nu DNA)genes revealed three distinct clusters without geographic structure,indicating significantly high rates of gene flow.Coalescent theory framework analysis(approximate Bayesian computation model DIYABC and Migrate-N)suggested that divergence of the main intraspecific clusters was the result of hybridization after secondary contact in the Holocene around 0.59 million years ago(Ma).The ratio of mt DNA FST(fixation index)to nu DNA FST was 2.3,thus failing to show male-biased dispersal.Geographic cline analysis showed that a wide hybrid zone was initially established in southwestern China,without significant reproductive isolation but with strong introgression in S.boulengeri,suggesting high hybrid fitness.Furthermore,mt DNA genes exhibited isolation by distance(IBD)while nu DNA genes exhibited significant isolation by environment(IBE).Results suggested that mitonuclear discordance may have initially been caused by geographic isolation,followed by precipitation-mediated hybridization,producing a wide hybrid zone and geographic structure confusion of nu DNA genes in S.boulengeri.This study indicated that complicated historical processes may have led to specific genetic patterns,with a specific climate factor facilitating gene flow in the system. 展开更多
关键词 Hybrid zone Mitonuclear discordance PRECIPITATION Genetic structure Secondary contact
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A METHOD FOR THE ANALYSIS OF DYNAMIC RESPONSE OF STRUCTURE CONTAINING NON-SMOOTH CONTACTABLE INTERFACES 被引量:3
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作者 刘晶波 刘书 杜修力 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1999年第1期63-72,共10页
A novel single-step method is proposed for the analysis of dynamic response of visco-elastic structures containing non-smooth contactable interfaces. In the method, a two-level algorithm is employed for dealing with a... A novel single-step method is proposed for the analysis of dynamic response of visco-elastic structures containing non-smooth contactable interfaces. In the method, a two-level algorithm is employed for dealing with a nonlinear boundary condition caused by the dynamic contact of interfaces. At the first level, an explicit method is adopted to calculate nodal displacements of global viscoelastic system without considering the effect of dynamic contact of interfaces and at the second level, by introducing contact conditions of interfaces, a group of equations of lower order is derived to calculate dynamic contact normal and shear forces on the interfaces. The method is convenient and efficient for the analysis of problems of dynamic contact. The accuracy of the method is of the second order and the numerical stability condition is wider than that of other explicit methods. 展开更多
关键词 non-smooth contactable interfaces visco-elastic structure dynamic response
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Estimation and Analysis of Structural Responses of Asphalt Pavement Using Interlayer Contact Bonding Model
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作者 Xuntao Wang Hu Wang 《Journal of Mechanical Materials and Mechanics Research》 2023年第1期1-15,共15页
The interlayer contact condition of asphalt pavement has a significant impact on stress transfer and energy dissipation with adjacent layers,so a model considering the bonding condition of adjacent layers is introduce... The interlayer contact condition of asphalt pavement has a significant impact on stress transfer and energy dissipation with adjacent layers,so a model considering the bonding condition of adjacent layers is introduced for evaluating the structural response of asphalt pavement.The pavement structure,the material characterization with temperature,the interlayer contact bonding model,the types of bond failure,and the prediction method of pavement life are described in detail.Results show that the transversely tensile strains at the top of asphalt pavement under the condition of high temperature were easy to cause the top-down cracking outside the edge of the dual tire.The bonding failure has a significant influence on strains at the bottom of the surface course with the condition of high temperature,especially,the longitudinally tensile strains would increase obviously as the disengaging area between the surface course of asphalt pavement and the base layer increases.Finally,it is proved that the surface course is vulnerable to form deformations and cause damage under the combined action of low speed and high temperature. 展开更多
关键词 Asphalt pavement Interlayer contact Bonding condition structural response STRAIN
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Nanoscale Reciprocating Sliding Contacts of Textured Surfaces:Influence of Structure Parameters and Indentation Depth
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作者 Rui-Ting Tong Geng Liu 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2018年第4期168-181,共14页
Textured surfaces are widely used in engineering components as they can improve tribological properties of sliding contacts, while the detailed behaviors of nanoscale reciprocating sliding contacts of textured surface... Textured surfaces are widely used in engineering components as they can improve tribological properties of sliding contacts, while the detailed behaviors of nanoscale reciprocating sliding contacts of textured surfaces are still lack of study. By using multiscale method, two dimensional nanoscale reciprocating sliding contacts of textured surfaces are investigated. The influence of indentation depth, texture shape, texture spacing, and tip radius on the average friction forces and the running-in stages is studied. The results show that the lowest indentation depth can make all the four textured surfaces reach steady state. Surfaces with right-angled trapezoid textures on the right side are better for reducing the running-in stage, and surfaces with right-angled trapezoid textures on the left side are better to reduce wear. Compared with other textured surfaces, the total average friction forces can be reduced by 82.94%–91.49% for the case of the contact between the tip with radius R = 60rand the isosceles trapezoid textured surface. Besides,the total average friction forces increase with the tip radii due to that bigger tip will induce higher contact areas. This research proposes a detailed study on nanoscale reciprocating sliding contacts of textured surfaces, to contribute to design textured surfaces, reduce friction and wear. 展开更多
关键词 NANOSCALE Reciprocating sliding contacts Textured surface structure parameters Indentation depth
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COINCIDENCE POINT THEOREMS iN PROBABILISTIC METRIC SPACES WITH A CONVEX STRUCTURES
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作者 朴渭汰 朴根生 +1 位作者 赵烈济 金钟圭 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第8期721-733,共13页
In lhis paper we draw some coincidence and common fixed point theorems fornonlinear hybrid contraction mappings on probabilistic metric spaces with a convexstructure.
关键词 probabilistic metric spaces a convex structure commuting mappings coincidence and common fixed points
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Metric-Based Resolvability of Quartz Structure
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作者 Muhammad Imran Ali Ahmad +1 位作者 Muhammad Azeem Kashif Elahi 《Computers, Materials & Continua》 SCIE EI 2022年第4期2053-2071,共19页
Silica has three major varieties of crystalline. Quartz is the main andabundant ingredient in the crust of our earth. While other varieties are formedby the heating of quartz. Silica quartz is a rich chemical structur... Silica has three major varieties of crystalline. Quartz is the main andabundant ingredient in the crust of our earth. While other varieties are formedby the heating of quartz. Silica quartz is a rich chemical structure containingenormous properties. Any chemical network or structure can be transformedinto a graph, where atoms become vertices and the bonds are converted toedges, between vertices. This makes a complex network easy to visualize towork on it. There are many concepts to work on chemical structures in termsof graph theory but the resolvability parameters of a graph are quite advanceand applicable topic. Resolvability parameters of a graph is a way to getting agraph into unique form, like each vertex or edge has a unique identification bymeans of some selected vertices, which depends on the distance of vertices andits pattern in a particular graph. We have dealt some resolvability parametersof SiO2 quartz. We computed the resolving set for quartz structure and itsvariants, wherein we proved that all the variants of resolvability parameters ofquartz structures are constant and do not depend on the order of the graph. 展开更多
关键词 QUARTZ polycyclic aromatic hydrocarbon related structure metric dimension metric or distance-based resolvability parameters
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The Conformally Symmetric K-Contact Manifolds
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作者 郭震 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第1期5-10,共6页
In this paper, we establish a differential equation about scalar curvature of conformally flat K-contact manifolds, and prove that a conformally symmetric K-contact manifold is a Riemann manifold with constant curvatu... In this paper, we establish a differential equation about scalar curvature of conformally flat K-contact manifolds, and prove that a conformally symmetric K-contact manifold is a Riemann manifold with constant curvature 1. At the same time, the results on Sasaki manifolds which are given by Miyazaawa and Yamagushi are generalized to K-contact manifolds. 展开更多
关键词 Conformally symmetric contact structure Killing vector field
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The Deep Structure Feature of the Sichuan Basin and Adjacent Orogens 被引量:3
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作者 XIONG Xiaosong GAO Rui +2 位作者 GUO Lianghui WANG Haiyan JIANG Zhuwei 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2015年第4期1153-1164,共12页
The basin-mountain system in the Sichuan Basin (SCB) reflects the main tectonic activity and the orogenic denudation in this region. The seismic probing work reveals the deep structure of the basin-mountain system. ... The basin-mountain system in the Sichuan Basin (SCB) reflects the main tectonic activity and the orogenic denudation in this region. The seismic probing work reveals the deep structure of the basin-mountain system. The seismic work was re-sampled to the Moho depth and the sedimentary thickness as well as the P-wave velocity=depth function to analyze the deep structure of the SCB and adjacent orogens. The results show two deposit centers in the SCB: the Deyang area in the west and the Nanchuan area in the east and depression uplift exists in the southwestern part of the SCB; the Moho shallowers gradually from the west to east (ca. 62-36 km deep),the South-North seismic belt (SNSB) is very distinctive: the Moho depth is much shallower (〈 50 km)to the east of the SNSB, whereas it is much deeper(〉50 kin)to the west of the SNSB, suggesting that the SNSB rather than the Longmen Shan tectonic belt is a main Moho transition belt; the topography and the top interface of the basement have the same undulation trend when the sedimentary thickness and the Moho depth have a mirror relationship; the low velocity zone developed in the Kangdian thrust and fold belt and Songpan-Garze belt implied a soft, weak and thick crust there showing tectonic activity in these areas. 展开更多
关键词 Sichuan basin basin-range contact zone deep structure top interface of basement Mohodepth
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Enhancement of surface wettability via micro-and nanostructures by single point diamond turning 被引量:2
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作者 Nicolás Cabezudo Jining Sun +5 位作者 Behnam Andi Fei Ding Ding Wang Wenlong Chang Xichun Luo Ben B.Xu 《Nanotechnology and Precision Engineering》 EI CAS CSCD 2019年第1期8-14,共7页
Studies on surface wettability have received tremendous interest due to their potential applications in research and industrial processes. One of the strategies to tune surface wettability is modifying surface topogra... Studies on surface wettability have received tremendous interest due to their potential applications in research and industrial processes. One of the strategies to tune surface wettability is modifying surface topography at micro-and nanoscales. In this research, periodic micro-and nanostructures were patterned on several polymer surfaces by ultra-precision single point diamond turning to investigate the relationships between surface topographies at the micro-and nanoscales and their surface wettability. This research revealed that single-point diamond turning could be used to enhance the wettability of a variety of polymers, including polyvinyl chloride(PVC), polyethylene 1000(PE1000), polypropylene copolymer(PP) and polytetrafluoroethylene(PFTE), which cannot be processed by conventional semiconductor-based manufacturing processes. Materials exhibiting common wettability properties(θ≈ 90°) changed to exhibit "superhydrophobic" behavior(θ > 150°). Compared with the size of the structures, the aspect ratio of the void space between micro-and nanostructures has a strong impact on surface wettability. 展开更多
关键词 contact angle WETTABILITY Single-point DIAMOND TURNING structureD surface HYDROPHOBICITY
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Mem Brain: An Easy-to-Use Online Webserver for Transmembrane Protein Structure Prediction 被引量:3
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作者 Xi Yin Jing Yang +2 位作者 Feng Xiao Yang Yang Hong-Bin Shen 《Nano-Micro Letters》 SCIE EI CAS 2018年第1期12-19,共8页
Membrane proteins are an important kind of proteins embedded in the membranes of cells and play crucial roles in living organisms, such as ion channels,transporters, receptors. Because it is difficult to determinate t... Membrane proteins are an important kind of proteins embedded in the membranes of cells and play crucial roles in living organisms, such as ion channels,transporters, receptors. Because it is difficult to determinate the membrane protein's structure by wet-lab experiments,accurate and fast amino acid sequence-based computational methods are highly desired. In this paper, we report an online prediction tool called Mem Brain, whose input is the amino acid sequence. Mem Brain consists of specialized modules for predicting transmembrane helices, residue–residue contacts and relative accessible surface area of a-helical membrane proteins. Mem Brain achieves aprediction accuracy of 97.9% of ATMH, 87.1% of AP,3.2 ± 3.0 of N-score, 3.1 ± 2.8 of C-score. Mem BrainContact obtains 62%/64.1% prediction accuracy on training and independent dataset on top L/5 contact prediction,respectively. And Mem Brain-Rasa achieves Pearson correlation coefficient of 0.733 and its mean absolute error of13.593. These prediction results provide valuable hints for revealing the structure and function of membrane proteins.Mem Brain web server is free for academic use and available at www.csbio.sjtu.edu.cn/bioinf/Mem Brain/. 展开更多
关键词 Transmembrane a-helices structure prediction Machine learning contact map prediction Relative accessible surface area
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Analysis of tensioned membrane structures considering cable sliding 被引量:4
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作者 宋昌永 《Journal of Zhejiang University Science》 EI CSCD 2003年第6期672-682,共11页
In routine design of tensioned membrane structures, the membrane is generally modeled using space membrane elements and the cables by space cable elements, with no sliding allowed between the membrane and the cables. ... In routine design of tensioned membrane structures, the membrane is generally modeled using space membrane elements and the cables by space cable elements, with no sliding allowed between the membrane and the cables. On the other hand, large deflections are expected and sliding between the membrane and the cables is inevitable. In the present paper, the general finite element code ABAQUS was employed to investigate the influence of cable sliding on membrane surface on the structural behavior. Three analysis models were devised to fulfill this purpose: (1) The membrane element shares nodes with the cable element; (2) The cable can slide on the membrane surface freely (without friction) and (3) The cable can slide on the membrane surface, but with friction between the cable and the membrane. The sliding problem is modeled using a surface - based contact algorithm. The results from three analysis models are compared, showing that cable sliding has only little influence on the structure shape and on the stress distributions in the membrane. The main influence of cable sliding may be its effect on the dynamic behavior of tensioned membrane structures. 展开更多
关键词 Membrane structures Shape finding Cutting pattern Cables contact simulation
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Syntheses and Crystal Structures of Two New Binary Cocrystals of 3-Methyl-4-nitro-pyridine-N-oxide with o-Nitrobenzoic Acid and 3,5-Dinitrosalicylic Acid 被引量:1
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作者 祖丽皮亚.阿布力孜 赵芳华 车云霞 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2010年第11期1652-1657,共6页
Two new binary cocrystals formulated as POM·NBA 1 and POM·DNSA 2 (POM = 3-methyl-4-nitro-pyridine-N-oxide, NBA = o-nitrobenzoic acid, DNSA = 3,5-dinitrosalicylic acid) have been successfully synthesized an... Two new binary cocrystals formulated as POM·NBA 1 and POM·DNSA 2 (POM = 3-methyl-4-nitro-pyridine-N-oxide, NBA = o-nitrobenzoic acid, DNSA = 3,5-dinitrosalicylic acid) have been successfully synthesized and characterized by elemental analysis, IR and X-ray single- crystal diffraction analysis. The crystal of 1 crystallizes in triclinic, space group P1, with a = 7.621(4), b = 7.816(4), c = 11.702(5) , α = 87.957(10), β = 83.642(10), γ = 81.535(10)o, C13H11N3O7, Z = 2, Mr = 321.25, V = 685.1(6) 3, Dc = 1.557 g/cm3, F(000) = 332, μ = 0.129 mm-1, the final R = 0.0632 and wR = 0.0831. The crystal of 2 crystallizes in monoclinic, space group P21/c with a = 14.910(9), b = 5.904(3), c =19.321(12) , β = 110.583(10)o, C13H10N4O10, Z = 4, Mr = 382.25, V = 1592.1(16) 3, Dc = 1.595 g/cm3, F(000) = 784, μ = 0.140 mm-1, the final R = 0.0598 and wR = 0.1589. Further structure analysis reveals that the POM with NBA and DNSA molecules in 1 and 2 are linked into 3D structures by the combination of strong O-H…O and weak C-H…O hydrogen bonds, π…π stackings and diverse short contacts, in which different C-H…O weak hydrogen bonds may play a key role in constructing the network structures. 展开更多
关键词 POM NBA DNSA HYDROGENBOND short contacts crystal structure
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THE STRUCTURE AND APPROXIMATION OF A.S. SELF-SIMILAR SET 被引量:1
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作者 胡迪鹤 《Acta Mathematica Scientia》 SCIE CSCD 2003年第2期201-207,共7页
The structure of any a.s. self-similar set K(w) generated by a class of random elements {gn,wσ} taking values in the space of contractive operators is given and the approximation of K(w) by the fixed points {Pn,wσ} ... The structure of any a.s. self-similar set K(w) generated by a class of random elements {gn,wσ} taking values in the space of contractive operators is given and the approximation of K(w) by the fixed points {Pn,wσ} of {gn,ow} is obtained. It is useful to generate the fractal in computer. 展开更多
关键词 a.s. self-similar set Hausdorff metric fixed point structure APPROXIMATION
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Totally Geodesic Invariant Subm anifolds of Contact Metric Manifold 被引量:1
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作者 万勇 宋鸿藻 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第4期103-105, ,共3页
The purpose of this paper is to give a sufficient and necessary condition of totally geodesic on invariant submanifold of contact metric manifold and is to generalize the results in [3] and [4].
关键词 contact metric manifold invariant submanifold totally geodesic
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Geotechnical particle finite element method for modeling of soilstructure interaction under large deformation conditions 被引量:1
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作者 Josep Maria Carbonell Lluís Monforte +2 位作者 Matteo O.Ciantia Marcos Arroyo Antonio Gens 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2022年第3期967-983,共17页
The possibilities of the particle finite element method(PFEM)for modeling geotechnical problems are increasingly evident.PFEM is a numerical approach to solve large displacement and large strain continuum problems tha... The possibilities of the particle finite element method(PFEM)for modeling geotechnical problems are increasingly evident.PFEM is a numerical approach to solve large displacement and large strain continuum problems that are beyond the capabilities of classical finite element method(FEM).In PFEM,the computational domain is reconfigured for optimal solution by frequent remeshing and boundary updating.PFEM inherits many concepts,such as a Lagrangian description of continuum,from classic geomechanical FEM.This familiarity with more popular numerical methods facilitates learning and application.This work focuses on G-PFEM,a code specifically developed for the use of PFEM in geotechnical problems.The article has two purposes.The first is to give the reader an overview of the capabilities and main features of the current version of the G-PFEM and the second is to illustrate some of the newer developments of the code.G-PFEM can solve coupled hydro-mechanical static and dynamic problems involving the interaction of solid and/or deformable bodies.Realistic constitutive models for geomaterials are available,including features,such as structure and destructuration,which result in brittle response.The solutions are robust,solidly underpinned by numerical technology including mixedfield formulations,robust and mesh-independent integration of elastoplastic constitutive models and a rigorous and flexible treatment of contact interactions.The novel features presented in this work include the contact domain technique,a natural way to capture contact interactions and impose contact constraints between different continuum bodies,as well as a new simplified formulation for dynamic impact problems.The code performance is showcased by the simulation of several soil-structure interaction problems selected to highlight the novel code features:a rigid footing insertion in soft rock,pipeline insertion and subsequent lateral displacement on over-consolidated clay,screw-pile pull-out and the dynamic impact of a free-falling spherical penetrometer into clay. 展开更多
关键词 Particle finite element method(PFEM) structured soils Nonlocal elastoplasticity contact domain method Soil penetration problems
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Fault-Tolerant Resolvability of Certain Crystal Structures
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作者 Sathish Krishnan Bharati Rajan 《Applied Mathematics》 2016年第7期599-604,共6页
An ordered set W of vertices of a graph G is called a resolving set, if all the vertices of G are uniquely determined by the vector of distances to the vertices in W. The metric dimension of G is the minimum cardinali... An ordered set W of vertices of a graph G is called a resolving set, if all the vertices of G are uniquely determined by the vector of distances to the vertices in W. The metric dimension of G is the minimum cardinality of a resolving set of G. A resolving set W for G is fault-tolerant if W\{v} is also a resolving set, for each v in W, and the fault-tolerant metric dimension of G is the minimum cardinality of such a set. In this paper we determine the metric dimension and fault-tolerant metric dimension problems for the graphs of certain crystal structures. 展开更多
关键词 Resolving Set metric Dimension Fault-Tolerant metric Dimension Crystal structures Bismuth Tri-Iodide Lead Chloride Quartz
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Rock mass structural recognition from drill monitoring technology in underground mining using discontinuity index and machine learning techniques 被引量:1
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作者 Alberto Fernández JoséA.Sanchidrián +3 位作者 Pablo Segarra Santiago Gómez Enming Li Rafael Navarro 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2023年第5期555-571,共17页
A procedure to recognize individual discontinuities in rock mass from measurement while drilling(MWD)technology is developed,using the binary pattern of structural rock characteristics obtained from in-hole images for... A procedure to recognize individual discontinuities in rock mass from measurement while drilling(MWD)technology is developed,using the binary pattern of structural rock characteristics obtained from in-hole images for calibration.Data from two underground operations with different drilling technology and different rock mass characteristics are considered,which generalizes the application of the methodology to different sites and ensures the full operational integration of MWD data analysis.Two approaches are followed for site-specific structural model building:a discontinuity index(DI)built from variations in MWD parameters,and a machine learning(ML)classifier as function of the drilling parameters and their variability.The prediction ability of the models is quantitatively assessed as the rate of recognition of discontinuities observed in borehole logs.Differences between the parameters involved in the models for each site,and differences in their weights,highlight the site-dependence of the resulting models.The ML approach offers better performance than the classical DI,with recognition rates in the range 89%to 96%.However,the simpler DI still yields fairly accurate results,with recognition rates 70%to 90%.These results validate the adaptive MWD-based methodology as an engineering solution to predict rock structural condition in underground mining operations. 展开更多
关键词 Drill monitoring technology Rock mass characterization Underground mining Similarity metrics of binary vectors structural rock factor Machine learning
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Mechanical Analysis of Interface in Coating Structure under Conical Concave Indenter with FEM
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作者 Shi-Qing Huang Pan-Jun Tang Wen-Hua Zhang 《Journal of Applied Mathematics and Physics》 2022年第5期1509-1524,共16页
The evaluation of mechanical properties of coating structures has always been a very important topic in the fields of mechanics, materials, and machinery. The traditional evaluation methods are easy to produce deviati... The evaluation of mechanical properties of coating structures has always been a very important topic in the fields of mechanics, materials, and machinery. The traditional evaluation methods are easy to produce deviation, because the ratio of coating thickness to substrate thickness is too small. Therefore, accurate analysis and calculation is particularly important. Indentation technology is an important means of coating structure analysis and measurement, the basis of standardized application and analysis of coating structure, and a classical method for accurate analysis and calculation of coating structure. The finite element method is a very good means to analyze and study this kind of problems because of its applicability. Based on the finite element method, this paper analyzes and studies the interface connection form, substrate, and local delamination effects of the indentation behavior of the coating structure under the conical concave indenter. In this paper, the finite element method, which is more convenient for analysis and calculation, is used to analyze the influence of interface connection form, substrate, and local delamination on the coating structure. The results of force displacement, interface normal stress, and interface shear stress are analyzed in detail, and the effects of the three effects on the coating structure are proved. The significance of this study is reflected in: based on the analysis of the three effects of interface connection form, substrate, and local delamination, the mechanical properties of the coating structure are more in-depth, which provides some reference for mechanical engineers to design and test the coating structure. 展开更多
关键词 Coating structure Finite Element Method contact Mechanics INTERFACIAL
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Slant Submanifolds of an Almost Hyperbolic Contact Metric Manifolds
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作者 Saadet Dogan Muge Karadag 《Journal of Mathematics and System Science》 2014年第4期285-288,共4页
In the present paper, we introduce the notion of slant submanifolds of an almost hyperbolic contact metric manifolds. We have obtained some results on slant submanifolds of an almost hyperbolic contact metric manifold... In the present paper, we introduce the notion of slant submanifolds of an almost hyperbolic contact metric manifolds. We have obtained some results on slant submanifolds of an almost hyperbolic contact metric manifolds. We have given a necessary and sufficient condition for a slant submanifold of an almost hyperbolic contact metric manifolds. 展开更多
关键词 Almost hyperbolic contact metric manifolds slant submanifold
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Chen’s Inequalities for Submanifolds in (<i>&kgreen;, &#181</i>)-Contact Space Form with a Semi-Symmetric Non-Metric Connection
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作者 Asif Ahmad Faisal Shahzad Jing Li 《Journal of Applied Mathematics and Physics》 2018年第2期389-404,共16页
In this paper, we obtain Chen’s inequalities in (k,?μ)-contact space form with a semi-symmetric non-metric connection. Also we obtain the inequalites for Ricci and K-Ricci curvatures.
关键词 (k µ)-contact Space Form Semi-Symmetric Non-metric CONNECTION Chen’s INEQUALITIES Ricci Curvature
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