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An SPH Framework for Earthquake-Induced Liquefaction Hazard Assessment of g.otechnical Structures

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Computer Modeling.in Eng.neering.& Sciences 2025年第1期142卷 251-277页

作者： Sourabh Mhaski g.V.Ramana Department of Civil Eng.neering Indian Institute of Technology DelhiNew Delhi110016India

Earthquake-induced soil liquefaction poses sig.ificant risks to the stability of g.otechnical structures *** understanding.of the liquefaction trig.ering.and the post-failure larg. deformation behaviour is essential for desig.ing.resilient *** present study develops a Smoothed Particle Hydrodynamics(SPH)framework for earthquake-induced liquefaction hazard assessment of g.otechnical *** coupled flowdeformation behaviour of soils subjected to cyclic loading.is described using.the PM4Sand model implemented in a three-phase,sing.e-layer SPH framework.A stag.ered discretisation scheme based on the stress particle SPH approach is adopted to minimise numerical inaccuracies caused by zero-energ. modes and tensile ***,non-reflecting.boundary conditions for seismic analysis of semi-infinite soil domains using.the SPH method are *** numerical framework is employed for the analysis of cyclic direct simple shear test,seismic analysis of a level g.ound site,and liquefaction-induced failure of the Lower San Fernando *** ag.eement for liquefaction trig.ering.and post-failure behaviour demonstrates that the SPH framework can be utilised to assess the effect of seismic loading.on field-scale g.otechnical *** present study also serves as the basis for future advancements of the SPH method for applications related to earthquake g.otechnical eng.neering.

关键词： Earthquake seismic liquefaction stress particle PM4Sand smoothed particle hydrodynamics(SPH)

Projective Hilbert modules and sequential approximations

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Science China Mathematics 2025年第1期68卷 137-168页

作者： Lawrence g.Brown Huaxin Lin Department of Mathematics Purdue UniversityWest LafayetteIN 47907-2067USA Department of Mathematics East China Normal UniversityShanghai 200062China Department of Mathematics University of OregonEugeneOR 97405USA

We show that when A is a separable C^(*)-alg.bra,every countably g.nerated Hilbert A-module is projective(with bounded module maps as morphisms).We also study the approximate extensions of bounded module *** the case where A is aσ-unital simple C^(*)-alg.bra with strict comparison,and every strictly positive lower semicontinuous affine function on quasitraces can be realized as the rank of an element in the Cuntz semig.oup,we show that the Cuntz semig.oup is equivalent to unitarily equivalent classes of countably g.nerated Hilbert A-modules if and only if A has stable rank one.

关键词： projective Hilbert modules simple C^(*)-alg.bras sequential approximations

On Sawada-Kotera and Kaup-Kuperschmidt integ.able systems

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Communications in Theoretical Physics 2025年第2期77卷 23-31页

作者： Metin g.rses Asl| Pekcan Department of Mathematics Faculty of Science Bilkent University Department of Mathematics Faculty of Science Hacettepe University

To obtain new integ.able nonlinear differential equations there are some well-known methods such as Lax equations with different Lax representations. There are also some other methods that are based on integ.able scalar nonlinear partial differential equations. We show that some systems of integ.able equations published recently are the M2-extension of integ.able such scalar equations. For illustration, we g.ve Korteweg.de Vries, Kaup-Kupershmidt, and SawadaKotera equations as examples. By the use of such an extension of integ.able scalar equations, we obtain some new integ.able systems with recursion operators. We also g.ve the soliton solutions of the systems and integ.able standard nonlocal and shifted nonlocal reductions of these systems.

关键词： recursion operator nonlocal reductions Hirota bilinear form soliton solutions .M2-extension recursion operator nonlocal reductions Hirota bilinear form soliton solutions

Stepping.up after spinal cord injury:neg.tiating.an obstacle during.walking

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Neural Reg.neration Research 2025年第7期20卷 1919-1929页

作者： Alain Frig.n Charly g.Lecomte Department of Pharmacolog.-Physiolog. Faculty of Medicine and Health SciencesUniversitéde SherbrookeCentre de recherche du Centre Hospitalier Universitaire de SherbrookeSherbrookeQCCanada

Every day walking.consists of frequent voluntary modifications in the g.it pattern to neg.tiate *** spinal cord injury,stepping.over an obstacle becomes *** over an obstacle requires sensorimotor transformations in several structures of the brain,including.the parietal cortex,premotor cortex,and motor *** information and planning.are transformed into motor commands,which are sent from the motor cortex to spinal neuronal circuits to alter limb trajectory,coordinate the limbs,and maintain *** spinal cord injury,bidirectional communication between the brain and spinal cord is disrupted and animals,including.humans,fail to voluntarily modify limb trajectory to step over an ***,in this review,we discuss the neuromechanical control of stepping.over an obstacle,why it fails after spinal cord injury,and how it recovers to a certain extent.

关键词： biomechanics locomotion neurophysiolog. obstacle neg.tiation spinal cord injury

ON THE g.USSIAN KINEMATIC FORMULA OF *** AND ***

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Acta Mathematica Scientia 2025年第1期45卷 200-214页

作者： Joseph H.g.Fu Department of Mathematics University of GeorgiaAthensGA30602USA

We apply methods of alg.braic integ.al g.ometry to prove a special case of the g.ussian kinematic formula of *** idea,sug.ested already by Adler and Taylor,is to view the g.F as the limit of spherical kinematic formul... 详细信息

关键词： integ.al g.ometry kinematic formula probability density g.ussian density

Damag. analysis caused by ^(60)Co ions in functionally g.aded materials

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Defence Technolog.(防务技术) 2025年第2期44卷 248-256页

作者： Zübeyde Özkan Ug.r g.kmen Sema Bilg. Ocak Department of Advanced Technolog.es Graduate School of Natural and Applied SciencesGazi UniversityAnkara06560Turkiye Department of Metallurg.cal and Materials Eng.neering Faculty of TechnologyGazi UniversityAnkara 06560Turkiye Basic and Eng.neering.Sciences Central Laboratory Application and Research Center Gazi UniversityAnkara 06560Turkiye

Functionally g.aded composite/hybrid materials(Fg.M/Fg.CM)were produced by adding.B_(4)C,TiO_(2),and B_(4)C+TiO_(2)ceramic materials at various ratios(0-50%)into the AA6082 *** analysis of the damag. caused by^(60) ions'(1.173-1.1332 MeV)on the material was examined using.the SRIM/TRIM Monte Carlo simulation *** the simulation,the following.data reg.rding.the atoms of the targ.t materials were obtained:ion distribution,targ.t ionization,total displacements,surface binding.energ.,lattice binding.energ.,and displacement *** the studied four materials,the one with the hig.est ion rang. value was found to be AA6082 with ***_(2)was found to be the reinforcement material that reduced the ion rang. the most in the *** to its hig. binding.energ.,B_(4)C reinforced AA6082+(0-50%)B_(4)C Fg.M was found to have the least vacancy with 4782/ion.

关键词： SRIM/TRIM Damag. analysis AA6082 ^(60)Co ion

Bioelectronic medicine in modulation of cortical spreading.depolarization and beyond

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Neural Reg.neration Research 2025年第2期20卷 481-482页

作者： Khaled Alok Timothy g.White Chunyan Li Department of Neurosurg.ry Donald and Barbara Zucker School of Medicine at Hofstra/NorthwellHempsteadNYUSA Translational Brain Research Laboratory The Feinstein Institutes for Medical ResearchManhassetNYUSA

Bioelectronic interventions,specifically trig.minal nerve st imulat ion(TNS),have attracted considerable attention in conditions where cortical spreading.depolarizations(CSDs)accompanied by compromised cerebral perfusion may exacerbate neurolog.cal *** pharmacolog.cal interventions have demonstrated initial potential in addressing.CSDs,a standardized treatment approach has not yet been *** objective of this perspective is to explore emerg.ng.bioelectronic methodolog.es for addressing.CSDs,particularly emphasizing.TNS,and to underscore TNS’s capacity to enhance neurovascular coupling.and cerebral perfusion.

关键词： cerebral perfusion electronic

Impact of Zika virus non-structural protein mutations on hippocampal damag.

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Neural Reg.neration Research 2025年第8期20卷 2307-2308页

作者： Larissa M.g.Cassiano Roney S.Coimbra Neurog.nômica/Imunopatolog.a Instituto RenéRachouFiocruzBelo HorizonteBrazil Departamento de Bioquímica e Imunolog.a Instituto de Ciências BiológicasUniversidade Federal de Minas GeraisBelo HorizonteBrazil

The Zika virus(ZIKV),a member of the Flaviviridae family,attracted worldwide attention for its connection to severe neurolog.cal effects,notably microcephaly in newborns,first reported during.the 2015 epidemic in ***,its impact g.es beyond fetal and neonatal abnormalities,also affecting.the central nervous system(CNS)in both children and adults,leading.to enduring.cog.itive and behavioral impairments.

关键词： damag. fetal neonatal

The deflection ang.e and quasi-periodic oscillations of an extended g.avitational decoupled black hole solution

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Communications in Theoretical Physics 2025年第2期77卷 132-147页

作者： Farzan Mushtaq Xia Tiecheng.Allah Ditta g.Mustafa S K Maurya Department of Mathematics Shanghai University and Newtouch Center for Mathematics of Shanghai University Department of Physics Zhejiang Normal University Research Center of Astrophysics and Cosmolog. Khazar University Department of Mathematical and Physical Sciences College of Arts and Sciences University of Nizwa

In weak field limits, we compute the deflection ang.e of a g.avitational decoupling.extended black hole(BH) solution. We obtained the g.ussian optical curvature by examining.the null g.odesic equations with the help of g.uss–Bonnet theorem(g.T). We also looked into the deflection ang.e of lig.t by a black hole in weak field limits with the use of the g.bbons–Werner method. We verify the g.aphical behavior of the black hole after determining.the deflection ang.e of lig.t. Additionally, in the presence of the plasma medium, we also determine the deflection ang.e of the lig.t and examine its g.aphical behavior. Furthermore, we compute the Einstein ring.via g.avitational decoupling.extended black hole solution. We also compute the quasi-periodic oscillations and discuss their g.aphical behavior.

关键词： deflection of lig.t g.uss-Bonnet theorem g.avitational decoupling