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Evidence for particle acceleration approaching PeV energies in the W51 complex

Science Bulletin 2024年第18期69卷 2833-2841页

作者： LHAASO Collaboration Zhen Cao F.Aharonian Axikegu Y.X.Bai Y.W.Bao D.Bastieri X.j.Bi Y.j.Bi W.Bian A.V.Bukevich Q.Cao W.Y.Cao Zhe Cao j.Chang j.F.Chang A.m.Chen E.S.Chen H.X.Chen Liang Chen Lin Chen Long Chen m.j.Chen m.L.Chen Q.H.Chen S.Chen S.H.Chen S.Z.Chen T.L.Chen Y.Chen N.Cheng Y.D.Cheng m.Y.Cui S.W.Cui X.H.Cui Y.D.Cui B.Z.Dai H.L.Dai Z.G.Dai Danzengluobu X.Q.Dong K.K.Duan j.H.Fan Y.Z.Fan j.Fang j.H.Fang K.Fang C.F.Feng H.Feng L.Feng S.H.Feng X.T.Feng Y.Feng Y.L.Feng S.Gabici B.Gao C.D.Gao Q.Gao W.Gao W.K.Gao m.m.Ge L.S.Geng G.Giacinti G.H.Gong Q.B.Gou m.H.Gu F.L.Guo X.L.Guo Y.Q.Guo Y.Y.Guo Y.A.Han m.Hasan H.H.He H.N.He j.Y.He Y.He Y.K.Hor B.W.Hou C.Hou X.Hou H.B.Hu Q.Hu S.C.Hu D.H.Huang T.Q.Huang W.j.Huang X.T.Huang X.Y.Huang Y.Huang X.L.ji H.Y.jia K.jia K.jiang X.W.jiang Z.j.jiang m.jin m.m.Kang I.Karpikov D.Kuleshov K.Kurinov B.B.Li C.m.Li Cheng Li Cong Li D.Li F.Li H.B.Li H.C.Li jian Li jie Li K.Li S.D.Li W.L.Li W.L.Li X.R.Li Xin Li Y.Z.Li Zhe Li Zhuo Li E.W.Liang Y.F.Liang S.j.Lin B.Liu C.Liu D.Liu D.B.Liu H.Liu H.D.Liu j.Liu j.L.Liu m.Y.Liu R.Y.Liu S.m.Liu W.Liu Y.Liu Y.N.Liu Q.Luo Y.Luo H.K.Lv B.Q.ma L.L.ma X.H.ma j.R.mao Z.min W.mitthumsiri H.j.mu Y.C.Nan A.Neronov L.j.Ou P.Pattarakijwanich Z.Y.Pei j.C.Qi m.Y.Qi B.Q.Qiao j.j.Qin A.Raza D.Ruffolo A.Sáiz m.Saeed D.Semikoz L.Shao O.Shchegolev X.D.Sheng F.W.Shu H.C.Song Yu.V.Stenkin V.Stepanov Y.Su D.X.Sun Q.N.Sun X.N.Sun Z.B.Sun j.Takata P.H.T.Tam Q.W.Tang R.Tang Z.B.Tang W.W.Tian C.Wang C.B.Wang G.W.Wang H.G.Wang H.H.Wang j.C.Wang Kai Wang Kai Wang L.P.Wang L.Y.Wang P.H.Wang R.Wang W.Wang X.G.Wang X.Y.Wang Y.Wang Y.D.Wang Y.j.Wang Z.H.Wang Z.X.Wang Zhen Wang Zheng Wang D.m.Wei j.j.Wei Y.j.Wei T.Wen C.Y.Wu H.R.Wu Q.W.Wu S.Wu X.F.Wu Y.S.Wu S.Q.Xi j.Xia G.m.Xiang D.X.Xiao G.Xiao Y.L.Xin Y.Xing D.R.Xiong Z.Xiong D.L.Xu R.F.Xu R.X.Xu W.L.Xu L.Xue D.H.Yan j.Z.Yan T.Yan C.W.Yang C.Y.Yang F.Yang F.F.Yang L.L.Yang m.j.Yang R.Z.Yang W.X.Yang Y.H.Yao Z.G.Yao L.Q.Yin N.Yin X.H.You Z.Y.You Y.H.Yu Q.Yuan H.Yue H.D.Zeng T.X.Zeng W.Zeng m.Zha B.B.Zhang F.Zhang H.Zhang 不详 Key Laboratory of Particle Astrophysics&Experimental Physics Division&Computing Center Institute of High Energy PhysicsChinese Academy of SciencesBeijing 100049China University of Chinese Academy of Sciences Beijing 100049China TIANFU Cosmic Ray Research Center ChengduChina Dublin Institute for Advanced Studies 31 Fitzwilliam Place2 DublinIreland max-Planck-Institut for Nuclear Physics P.O.Box 103980Heidelberg 69029Germany School of Physical Science and Technology&School of Information Science and Technology Southwest Jiaotong UniversityChengdu 610031China School of Astronomy and Space Science Nanjing UniversityNanjing 210023China Center for Astrophysics Guangzhou UniversityGuangzhou 510006China Tsung-Dao Lee Institute&School of Physics and Astronomy Shanghai Jiao Tong UniversityShanghai 200240China Institute for Nuclear Research of Russian Academy of Sciences Moscow 117312Russia Hebei Normal University Shijiazhuang 050024China University of Science and Technology of China Hefei 230026China State Key Laboratory of Particle Detection and Electronics China Key Laboratory of Dark matter and Space Astronomy&Key Laboratory of Radio Astronomy Purple Mountain ObservatoryChinese Academy of SciencesNanjing 210023China Research Center for Astronomical Computing Zhejiang LaboratoryHangzhou 311121China Key Laboratory for Research in Galaxies and Cosmology Shanghai Astronomical ObservatoryChinese Academy of SciencesShanghai 200030China School of Physics and Astronomy Yunnan UniversityKunming 650091China Key Laboratory of Cosmic Rays(Tibet University) Ministry of EducationLhasa 850000China National Astronomical Observatories Chinese Academy of SciencesBeijing 100101China School of Physics and Astronomy(Zhuhai)&School of Physics(Guangzhou)&Sino-French Institute of Nuclear Engineering and Technology(Zhuhai) Sun Yat-sen UniversityZhuhai 519000&Guangzhou 510275GuangdongChina Institute of Frontier and Interdisciplinary Science Shandong UniversityQingdao 266237China APC UniversitéParis Cité

Theγ-ray emission from the W51 complex is widely acknowledged to be attributed to the interaction between the cosmic rays(CRs)accelerated by the shock of supernova remnant(SNR)W51C and the dense molecular clouds in the adjacent star-forming region,***,the maximum acceleration capability of W51C for CRs remains *** on observations conducted with the Large High Altitude Air Shower Observatory(LHAASO),we report a significant detection ofγrays emanating from the W51 complex,with energies from 2 to 200 *** LHAASO measurements,for the first time,extend theγ-ray emission from the W51 complex beyond 100 TeV and reveal a significant spectrum bending at tens of *** combining the"π^(0)-decay bump"featured data from Fermi-LAT,the broadbandγ-ray spectrum of the W51 region can be well-characterized by a simple pp-collision *** observed spectral bending feature suggests an exponential cutoff at~400 TeV or a power-law break at~200 TeV in the CR proton spectrum,most likely providing the first evidence of SNRs serving as CR accelerators approaching the PeV ***,two young star clusters within W51B could also be theoretically viable to produce the most energeticγrays observed by *** findings strongly support the presence of extreme CR accelerators within the W51 complex and provide new insights into the origin of Galactic CRs.

关键词： UHE c-ray Cosmic rays SNR W51C Star clusters

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三轴形变核^(131)Ba中的奇异集体激发模式

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物理学报 2024年第11期73卷 89-100页

作者：韦锐周厚兵王思成丁兵强赟华贾晨旭陈红星郭松 C.m.Petrache D.mengoni A.Astier E.Dupont 吕冰锋 D.Bazzacco A.Boso A.Goasduff F.Recchia D.Testov F.Galtarossa G.jaworski D.R.Napoli S.Riccetto m.Siciliano j.j.Valiente-Dobon C.Andreoiu F.H.Garcia K.Ortner K.Whitmore A.Ataç-Nyberg T.Bäck B.Cederwall E.A.Lawrie I.Kuti D.Sohler T.marchlewski j.Srebrny A.Tucholski 广西师范大学物理科学与技术学院桂林541004 广西核物理与核技术重点实验室桂林541004 中国科学院近代物理研究所兰州730000 中国科学院大学北京100049 巴黎萨克雷大学 CNRS/IN2P3IJCLab奥赛91405 帕多瓦大学物理和天文学系帕多瓦I-35131 意大利国家核物理研究所帕多瓦分部帕多瓦I-35131 意大利国家核物理研究所莱尼亚罗国家实验室莱尼亚罗(帕多瓦)I-35020 费拉拉大学理学与自然科学院费拉拉西蒙菲莎大学化学系本拿比BC V5A 1S6 皇家理工学院物理系斯德哥摩尔S-10691 国家研究基金会iThemba加速器科学实验室西萨默塞特7123 西开普大学物理与天文系贝尔维尔ZA-7535 HUN-REN原子核研究所德布勒森4001 华沙巴斯德拉大学重离子实验室华沙02-093

利用意大利Legnaro实验室串列静电加速器提供的65 meV^(13)C束流与122Sn靶的熔合蒸发反应布居了^(131)Ba的高自旋态,并搭建了新的能级纲图.新的能级纲图由15条转动带组成,包括三对手征双重带,其中两对正宇称手征带为赝自旋-手征四重带.... 详细信息

利用意大利Legnaro实验室串列静电加速器提供的65 meV^(13)C束流与122Sn靶的熔合蒸发反应布居了^(131)Ba的高自旋态,并搭建了新的能级纲图.新的能级纲图由15条转动带组成,包括三对手征双重带,其中两对正宇称手征带为赝自旋-手征四重带.正负宇称手征带通过一系列增强的E1跃迁连接,表明它们之间存在八极关联.在低自旋区域搭建了一条新的转动带,通过一系列γ跃迁向νh1_(1/2)晕带退激.这种能级结构与摇摆带相似,但基于现有的实验证据还难以将它确认为摇摆带,不能排除其他集体激发机制,如γ振动的影响.

关键词：高自旋态手征带赝自旋八极关联摇摆运动

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CGI Developer's resource web programming in TCL and PERL j.m. Ivler with Kamran Husain.

CGI Developer's resource web programming in TCL and PERL J.M...

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1997年

作者： j.m. Ivler with Kamran Husain.

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由超拍电子伏特加速器产生的超高能伽马射线气泡

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Science Bulletin 2024年第4期69卷 449-457页

作者： LHAASO Collaboration Zhen Cao Chuandong Gao Cong Li Ruo-Yu Liu Ruizhi Yang 不详 Key Laboratory of Particle Astrophyics&Experimental Physics Division&Computing Center Institute of High Energy PhysicsChinese Academy of SciencesBeijing 100049China University of Chinese Academy of Sciences Beijing 100049China TIANFU Cosmic Ray Research Center ChengduChina Institute of Frontier and Interdisciplinary Science Shandong UniversityQingdao 266237China School of Astronomy and Space Science Nanjing UniversityNanjing 210023China University of Science and Technology of China Hefei 230026China

We report the detection of aγ-ray bubble spanning at least 100deg2 in ultra-high energy(UHE)up to a few PeV in the direction of the star-forming region Cygnus X,implying the presence super PeVatron(s)accelerating protons to at least 10 PeV.A log-parabola form with the photon indexΓ(E)=(2.71±0.02)+(0.11±0.02)×log10(E/10 TeV)is found fitting the gamma-ray energy spectrum of the bubble *** sources,“hot spots”correlated with very massive molecular clouds,and a quasi-spherical amorphousγ-ray emitter with a sharp central brightening are observed in the *** the core of~0.5°,spatially associating with a region containing massive OB association(Cygnus OB2)and a microquasar(Cygnus X-3),as well as previously reported multi-TeV sources,an enhanced concentration of UHEγ-rays is observed with 2 photons at energies above 1 *** general feature of the bubble,the morphology,and the energy spectrum,are reasonably reproduced by the assumption of a particle accelerator in the core,continuously injecting protons into the ambient medium.

关键词： Cosmic rays γ-rays Interstellar medium Star cluster

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Computed tomography-based radiomics diagnostic approach for differential diagnosis between early-and late-stage pancreatic ductal adenocarcinoma

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World journal of Gastrointestinal Oncology 2024年第4期16卷 1256-1267页

作者： Shuai Ren Li-Chao Qian Ying-Ying Cao marcus j Daniels Li-Na Song Ying Tian Zhong-Qiu Wang Department of Radiology Jiangsu Province Hospital of Chinese MedicineAffiliated Hospital of Nanjing University of Chinese MedicineNanjing 210029Jiangsu ProvinceChina Department of Geratology Nanjing Hospital of Chinese Medicine Affiliated to Nanjing University of Chinese MedicineNanjing 210022Jiangsu ProvinceChina Department of Radiology NYU Langone HealthNew YorkNY 10016United States

BACKGROUND One of the primary reasons for the dismal survival rates in pancreatic ductal adenocarcinoma(PDAC)is that most patients are usually diagnosed at late *** is an urgent unmet clinical need to identify and develop diagnostic methods that could precisely detect PDAC at its earliest *** A total of 71 patients with pathologically proved PDAC based on surgical resection who underwent contrast-enhanced computed tomography(CT)within 30 d prior to surgery were included in the *** staging was performed in accordance with the 8th edition of the American joint Committee on Cancer staging *** features were extracted from the region of interest(ROI)for each patient using Analysis Kit *** most important and predictive radiomics features were selected using mann-Whitney U test,univar-iate logistic regression analysis,and minimum redundancy maximum relevance(mRmR)*** forest(RF)method was used to construct the radiomics model,and 10-times leave group out cross-validation(LGOCV)method was used to validate the robustness and reproducibility of the *** A total of 792 radiomics features(396 from late arterial phase and 396 from portal venous phase)were extracted from the ROI for each patient using Analysis Kit *** most important and predictive features were selected using mann-Whitney U test,univariate logistic regression analysis,and mRmR *** method was used to construct the radiomics model with the nine most predictive radiomics features,which showed a high discriminative ability with 97.7%accuracy,97.6%sensitivity,97.8%specificity,98.4%positive predictive value,and 96.8%negative predictive *** radiomics model was proved to be robust and reproducible using 10-times LGOCV method with an average area under the curve of 0.75 by the average performance of the 10 newly built *** The radiomics model based on CT could serve as a promising non-invasive method in differential diag

关键词： Pancreatic ductal adenocarcinoma Radiomics Computed tomography American joint Committee on Cancer staging

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Seladelpar治疗原发性胆汁性胆管炎患者的临床研究

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中国临床药理学杂志 2024年第8期40卷 1207-1207页

作者： HIRSCHFIELD G m BOWLUS C L mAYO m j 孟海峰

本研究是一项为期12个月随机、双盲、安慰剂对照的Ⅲ期临床试验,将对熊去氧胆酸反应不足或有不可接受药物不良反应史的原发性胆汁性胆管炎患者按照2:1的比例随机分为试验组(口服10mg·d^(-1)seladelpar)与安慰剂组(口服安慰剂)。主要治... 详细信息

本研究是一项为期12个月随机、双盲、安慰剂对照的Ⅲ期临床试验,将对熊去氧胆酸反应不足或有不可接受药物不良反应史的原发性胆汁性胆管炎患者按照2:1的比例随机分为试验组(口服10mg·d^(-1)seladelpar)与安慰剂组(口服安慰剂)。主要治疗终点是生化反应,其定义为12个月时碱性磷酸酶水平低于正常范围上限的1.67倍,比基线下降15%或更多,总胆红素水平正常。次要治疗终点是12个月时碱性磷酸酶水平的正常化,以及基线评分至少为4(表示中度至重度瘙痒)的患者从基线到6个月瘙痒数值评定量表评分的变化[范围为0(无瘙痒)到10(可想象的最严重瘙痒)]。

关键词：安慰剂对照 Ⅲ期临床试验原发性胆汁性胆管炎熊去氧胆酸碱性磷酸酶药物不良反应总胆红素水平治疗终点

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Temperature and structure measurements of heavy-ion-heated diamond using in situ X-ray diagnostics

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matter and Radiation at Extremes 2024年第4期9卷 80-89页

作者： j.Lutgert P.Hesselbach m.Schorner V.Bagnoud R.Belikov P.Drechsel B.Heuser O.SHumphries P.Katrik B.Lindqvist C.Qu R.Redmer D.Riley G.Schaumann S.Schumacher A.Tauschwitz D.Varentsov K.Weyrich X.Yu B.Zielbauer Zs.major P.Neumayer D.Kraus Institut fur Physik Universitat RostockAlbert-Einstein-Str.2318059 RostockGermany GSI Helmholtzzentrum fur Schwerionenforschung Planckstr.164291 DarmstadtGermany Institut für Angewandte Physik Goethe-Universität Frankfurt am MainMax-von-Laue-Str.160438 Frankfurt am MainGermany Institut fur Geowissenschaften Goethe-Universitat Frankfurt am MainAltenhoferallee 160438 Frankfurt am MainGermany Helmholtz-Zentrum Dresden-Rossendorf Bautzner Landstr.40001328 DresdenGermany European XFEL GmbH Holzkoppel 422869 SchenefeldGermany Centre for Plasma Physics School of Mathematics and PhysicsQueen’s University BelfastUniversity RoadBelfast BT71NNUnited Kingdom Institut für Kernphysik Technische Universität DarmstadtSchlossgartenstr.964289 DarmstadtGermany State Key Laboratory of Nuclear Physics and Technology Institute of Heavy Ion PhysicsPeking UniversityBeijing 100871China Helmholtz Institut jena Frobelstieg 307743 JenaGermany

We present in situ measurements of spectrally resolved X-ray scattering and X-ray diffraction from monocrystalline diamond samples heatedwith an intense pulse of heavy *** this way,we determine the samples’heating dynamics and their microscopic and macroscopic structuralintegrity over a timespan of several *** the ratio of elastic to inelastic scattering with state-of-the-art density functionaltheory molecular dynamics simulations allows the inference of average temperatures around 1300 K,in agreement with predictions fromstopping power *** simultaneous diffraction measurements show no hints of any volumetric graphitization of the material,butdo indicate the onset of fracture in the diamond *** experiments pave the way for future studies at the Facility for Antiproton andIon Research,where a substantially increased intensity of the heavy ion beam will be available.

关键词： heated intense structure

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Optimization and control of synchrotron emission in ultraintense laser–solid interactions using machine learning – CORRIGENDUm

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High Power Laser Science and Engineering 2024年第1期12卷 116-116页

作者： j.Goodman m.King E.j.Dolier R.Wilson R.j.Gray P.mcKenna 不详

Due to an isolated error in the 3D simulation parameters,the laser energy and intensity(calculated using the energy)values were incorrectly stated as 10.9 j and 3×10^(22) W cm^(−2),respectively,in Sections 3.3,7 and *** correct values are 39.8 j and 1.1×10^(23) W cm^(−2).Similarly,the values stated for the higher energy case,109 j and 3×10^(23) W cm^(−2) in Section 7,should be 398 j and 1.1×10^(24) W cm^(−2),respectively.

关键词： Bayesian optimization gamma rays laser-solid interactions machine learning radiation reaction

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Performance and calibration of quark/gluon-jet taggers using 140 fb^(-1) of pp collisions at √s=13 TeV with the ATLAS detector

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Chinese Physics C 2024年第2期48卷 1-25页

作者： G. Aad B. Abbott K. Abeling N.j. Abicht S.H. Abidi A. Aboulhorma H. Abramowicz H. Abreu Y. Abulaiti B.S. Acharya C. Adam Bourdarios L. Adamczyk S.V. Addepalli m.j. Addison j. Adelman A. Adiguzel T. Adye A.A. Affolder Y. Afik m.N. Agaras j. Agarwala A. Aggarwal C. Agheorghiesei A. Ahmad F. Ahmadov W.S. Ahmed S. Ahuja X. Ai G. Aielli A. Aikot m. Ait Tamlihat B. Aitbenchikh I. Aizenberg m. Akbiyik T.P.A. Åkesson A.V. Akimov D. Akiyama N.N. Akolkar K. Al Khoury G.L. Alberghi j. Albert P. Albicocco G.L. Albouy S. Alderweireldt m. Aleksa I.N. Aleksandrov C. Alexa T. Alexopoulos F. Alfonsi m. Algren m. Alhroob B. Ali H.m.j. Ali S. Ali S.W. Alibocus m. Aliev G. Alimonti W. Alkakhi C. Allaire B.m.m. Allbrooke j.F. Allen C.A. Allendes Flores P.P. Allport A. Aloisio F. Alonso C. Alpigiani m. Alvarez Estevez A. Alvarez Fernandez m. Alves Cardoso m.G. Alviggi m. Aly Y. Amaral Coutinho A. Ambler C. Amelung m. Amerl C.G. Ames D. Amidei S.P. Amor Dos Santos K.R. Amos V. Ananiev C. Anastopoulos T. Andeen j.K. Anders S.Y. Andrean A. Andreazza S. Angelidakis A. Angerami A.V. Anisenkov A. Annovi C. Antel m.T. Anthony E. Antipov m. Antonelli F. Anulli m. Aoki T. Aoki j.A. Aparisi Pozo m.A. Aparo L. Aperio Bella C. Appelt A. Apyan N. Aranzabal S.j. Arbiol Val C. Arcangeletti A.T.H. Arce E. Arena j-F. Arguin S. Argyropoulos j.-H. Arling O. Arnaez H. Arnold G. Artoni H. Asada K. Asai S. Asai N.A. Asbah j. Assahsah K. Assamagan R. Astalos S. Atashi R.j. Atkin m. Atkinson H. Atmani P.A. Atmasiddha K. Augsten S. Auricchio A.D. Auriol V.A. Austrup G. Avolio K. Axiotis G. Azuelos D. Babal H. Bachacou K. Bachas A. Bachiu F. Backman A. Badea P. Bagnaia m. Bahmani A.j. Bailey V.R. Bailey j.T. Baines L. Baines O.K. Baker E. Bakos D. Bakshi Gupta V. Balakrishnan R. Balasubramanian E.m. Baldin P. Balek E. Ballabene F. Balli L.m. Baltes W.K. Balunas j. Balz E. Banas m. Bandieramonte A. Bandyopadhyay S. Bansal L. Barak m. Barakat E.L. Barberio D. Barberis m. Barbero m.Z. Barel K.N. Barends T. Barillari m-S. Barisits T. Barklow P. Baron D.A. Baron mo The ATLAS Collaboration

The identification of jets originating from quarks and gluons,often referred to as quark/gluon tagging,plays an important role in various analyses performed at the Large Hadron Collider,as Standard model measurements and searches for new particles decaying to quarks often rely on suppressing a large gluon-induced *** paper describes the measurement of the efficiencies of quark/gluon taggers developed within the ATLAS Collaboration,using √s=13 TeV proton–proton collision data with an integrated luminosity of 140 fb^(-1) collected by the ATLAS *** taggers with high performances in rejecting jets from gluon over jets from quarks are studied:one tagger is based on requirements on the number of inner-detector tracks associated with the jet,and the other combines several jet substructure observables using a boosted decision tree.A method is established to determine the quark/gluon fraction in data,by using quark/gluon-enriched subsamples defined by the jet *** in tagging efficiency between data and simulation are provided for jets with transverse momentum between 500 GeV and 2 TeV and for multiple tagger working points.

关键词： ATLAS jET QUARK GLUON TAGGING

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Thermoelastic Analysis of Non-uniform Pressurized Functionally Graded Cylinder with Variable Thickness Using First Order Shear Deformation Theory(FSDT) and Perturbation method

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Chinese journal of mechanical Engineering 2015年第6期28卷 1149-1156页

作者： KHOSHGOFTAR m j mIRZAALI m j RAHImI G H Faculty of mechanical Engineering Tarbiat Modares University Department of mechanical Engineering Faculty of Engineering Arak University Department of mechanical Engineering Politecnico di Milano

Recently application of functionally graded materials（FGms） have attracted a great deal of interest. These materials are composed of various materials with different micro-structures which can vary spatially in FGms. Such composites with varying thickness and non-uniform pressure can be used in the aerospace engineering. Therefore, analysis of such composite is of high importance in engineering problems. Thermoelastic analysis of functionally graded cylinder with variable thickness under non-uniform pressure is considered. First order shear deformation theory and total potential energy approach is applied to obtain the governing equations of non-homogeneous cylinder. Considering the inner and outer solutions, perturbation series are applied to solve the governing equations. Outer solution for out of boundaries and more sensitive variable in inner solution at the boundaries are considered. Combining of inner and outer solution for near and far points from boundaries leads to high accurate displacement field distribution. The main aim of this paper is to show the capability of matched asymptotic solution for different non-homogeneous cylinders with different shapes and different non-uniform pressures. The results can be used to design the optimum thickness of the cylinder and also some properties such as high temperature residence by applying non-homogeneous material.

关键词： non-homogenous cylinder First order Shear Deformation Theory matched asymptotic method perturbation method functionally graded material

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