Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Materials Science and Engineering》 2006-06
Add to Favorite Get Latest Update

Study on Constitutive Relation of Viscoelastic Material Described by Fractional Operator

SUN Hai-zhong,ZHANG Wei(Institute of applied Mechanics of Jinan University,Guangzhou 510632,China)  
From the definition of fractional order derivative,the new idea that replacing the traditional Newton dashpot with Abel dashpot is proposed here. The experiment of dynamic behavior of solid polymers in MTS831.10 Testing System has been carried out.And the data of test has also been fitted by traditional viscoelastic model and fractional Kelvin model respectively.The analysis results show that the fractional Kelvin model could accurately simulate the curves of storage modulus and dissipation modulus of solid polymers,moreover,it has a simple and uniform form,only a few of the parameters should be adjusted in the calculation process.
【CateGory Index】: O345
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
Chinese Journal Full-text Database 10 Hits
1 PAN Liao1,LU Li-xin1,2,WANG Jun1,2(1.Jiangnan University,Wuxi 214122,China;2.Key Laboratory of Food Packaging Techniques and Safety of China National Packaging Corporation,Wuxi 214122,China);Creep Properties of Apple Based on Fractional Order Derivative[J];Packaging Engineering;2011-01
2 Liu Liang,Wang Jun,Chen Anjun (Department of Packaging Engineering,Jiangnan University,Wuxi Jiangsu 214122,China);Vibration Suppression Characteristics of Two-Degree-of-Freedom Packaging System with Fractional Derivative Constitutive Relation[J];Packaging Journal;2010-04
3 ZHAN Xiao-li,ZHANG Xiao-ning,WANG Duan-yi,LU Liang (School of Civil Engineering and Transportation,South China University of Technology,Guangzhou,Guangdong 510640,China);STUDY ON NONLINEAR VISCOELASTIC CONSTITUTIVE EQUATION OF MODIFIED ASPHALT AND ITS APPLICATIONS[J];Engineering Mechanics;2009-04
4 LIANG Jun-long,GAO Jiang-ping(Highway School,Chang'an University,Xi'an 710064,China);A study on nonlinear viscoelastic constitutive equation of asphalt mixture[J];Journal of Guangxi University(Natural Science Edition);2012-04
5 ZHU Jun-tao,XU Zhao-dong(Reinforced Concrete and Prestressed Concrete Key Laboratory of Education Ministry,Southeast University,Nanjing 210096,China);THE PARAMETER MODEL OF MAGNETORHEOLOGICAL ELASTOMERS BASED ON FRACTIONAL DERIVATIVE[J];Engineering Mechanics;2012-08
6 Yin Hua,Wang Daming,Zhao Chen,Chen Ning(Nanjing Forestry University,Nanjing 210037);Study on Fractional Derivative Viscoelastic Constitutive Relation of Asphalt Mixture[J];Forest Engineering;2010-02
7 WANG Zhi-fang,ZHANG Guo-zhong,LIU Gang(College of Transport & Storage and Civil Engineering in China University of Petroleum,Dongying 257061,Shandong Province,China);A description of rheological model for gelled crude oil using fractional order derivatives[J];Journal of China University of Petroleum(Edition of Natural Science);2008-02
8 LI Rui-duo;YUE Jin-chao;LIU Lin-chao;School of Water Conservancy and Environment,Zhengzhou University;School of Transportation Engineering,Henan University of Urban Construction;School of Civil Engineering,Xinyang Normal University;;Settlement Analysis of Soil Foundation Under a Circular Uniformly Distributed Loads Based on Fractional Derivative Viscoelastic Model[J];Mathematics in Practice and Theory;2013-21
9 HAN Bao-kun,ZHANG Ting-ting,CAO Shu-ming(College of Mechanical and Electronic Engineering,Shandong University of Science and Technology,Qingdao 266510,shandong China);Measurement and Analysis of the Dynamic Modulus of Polymer Materials Based on Fractional Model[J];Noise and Vibration Control;2012-05
10 YIN Yingmei;ZHANG Xiaoning;School of Civil and Transportation Engineering, Guangdong University of Technology;School of Civil Engineering and Transportation, South China University of Technology;;Dynamic viscoelastic behavior of asphalt mixtures based on fractional derivative[J];Journal of Central South University(Science and Technology);2013-09
China Proceedings of conference Full-text Database 1 Hits
1 YAO Zhao - ming~(1-4),XU Ying~1,WANG Hou - liang~(2,4),SHAO Wei~5 (1.School of Civil Engineering and Architecture,Anhui University of Science and Technology,Huainan Anhui 232001,China;2.National engineering for deep shaft construction technology in coal mine,Huaibei Anhui 235000,China;3.Atificial Frozen Soil Institute, Anhui University of Science and Technology,Huainan Anhui 232001,China;4.China Coal Construction(group) Corporation LTD. Hefei Anhui 230000,China;5.Huainan Mining Group Design Institute,Huainan Anhui 232001,China);Fractional Order Derivative Constitutive of Artificial Frozen Soil[A];[C];2012
Chinese Journal Full-text Database 1 Hits
1 Zhang Weimin 1 Zhang Chunyuan 2 Zhang Ping 3 (Xiangtan University, Xiangtan 411105);Viscoelastic Fractional Derivative Model of Concrete with Aging[J];Chinese Journal of Applied Mechanics;2004-01
Chinese Journal Full-text Database 10 Hits
1 FAN Xiping, LIU Ziru, SUN Lixia(Xi′an Modern Chemistry Research Institute, Xi′an 710065, China);A Prediction on the Physical Aging Life of NEPE-5 Propellant[J];Chinese Journal of Explosives & Propellants;2003-01
2 CHANG Hai1,ZHANG La-ying2,LIU Zi-ru2,SHI Ai-juan2(1.Department of Applied Chemistry,School of Science,Northwestern Polytechnical University, Xi′an 710072,China;2.Xi′an Modern Chemistry Research Insititute,Xi′an 710065,China);Influence of Phosphate Deterrent on Dynamic Mechanical Properties of Polyurethane Coating[J];Chinese Journal of Explosives & Propellants;2009-02
3 LI Gao-chun,DONG Ke-hai,ZHANG Yong,WANG Yu-feng,LIU Zhu-qing(Department of Aircraft Engineering,Naval Aeronautical and AstronauticalUniversity,Yantai Shandong 264001,China);Cumulative Damage Rule of Solid Rocket Motor Grains under the Influence of Environmental Temperature[J];Chinese Journal of Explosives & Propellants;2010-04
4 YU Guang-hui1,LU Hong-yi1,WANG Hong-ling2,ZHU Min1,LIU Hong-yan3(1.Naval Aeronautical and Astronautical University,Yantai 264001,Shandong,China; 2.92664 PLA Troops,Qingdao 266031,Shandong,China; 3.92941 PLA Troops,Huludao 125000,Liaoning,China);Research on Low Temperature Inspection for Casting Solid Motor's Liner and Propellant Grain Interface Debonding[J];Acta Armamentarii;2011-12
5 Jiang Shuchun;Ji Zhoujian (Department of Polymer Science, Beijing Institute of Chemical Technology, Beijing, 100029);An Investigation of Environmental Stress Cracking Mechanism in High Density Polyethylene[J];;1994-04
6 XIA Guo-hua1,ZHU Jin-jie2,TONG Shu-ting1(1.School of Materials Science and Engineering,Tongji University,Shanghai 200092,China;2.Shanghai Yaohua-Pilkington Glass Co.,Ltd,Shanghai 201315,China);Finite-Elemet Simulation in the Thermal Tempering of Glass Plate[J];Glass & Enamel;2008-05
7 Zhou Fenghua ,Wang Lili ,Hu Shisheng(University of Science and Technology of China,Hefeii 230026) (Ningbo University ,Ningbo 315020);A DAMAGE-MODIFIED NONLINEAR VISCO-ELASTIC CONSTITUTIVE RELATION AND FAILURE CRITERION OF PMMA AT HIGH STRAIN-RATES[J];Explosion and Shock Waves;1992-04
8 Hu Shisheng, Song Bo, Liu Xiaomin, Feng Jianping (University of Science and Technology of China, Hefei, 230027);EXPERIMENTAL RESEARCH OF PMMA LOSS-MODULUS TEMPERATURE SPECTRUM UNDER CONSTANT STRAIN-RATE[J];Explosion and Shock Waves;1997-01
9 Yu Bennong; Ping Youmei (Tianjin University of Commerce);A Study on the Relaxation Test of Polythene Cushioning Material[J];PACKAGING ENGINEERING;1997-Z1
10 LI Yan-hui,HU Qing-chun(South China University of Technology,Guangzhou 510640,China);Analysis of Axial Pressure of PET Bottle Based on ABAQUS[J];Packaging Engineering;2009-10
China Proceedings of conference Full-text Database 8 Hits
1 Yaoying Huang 1,2 Hong Zheng 2(1 College of Hydraulic & Environmental Engineering,China Three Gorges University,Yichang 443002,China ;2 State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Science,Wuhan 430071,China);Application of Fractional Calculus Rheological Model in the Failure Analysis of Structure Accelerated Rheological Process[A];[C];2010
2 ZHOU Li Na,YOU Xiao Chuan,Pierre VIALETTES,ZHUANG Zhuo School of Aerospace,Tsinghua University,Beijing,100084,China;EXPERIMENT RESEARCH FOR A BALLOON ENVOLOP MATERIAL[A];[C];2010
3 WANG Bao-Zhen,HU Shi-Sheng, Zhou Xiang-Rong (CAS Key Lahratory of Mechanical Behavior and Design of Materials, University of Science and Technology of China, Hefei, 230026, P.R.China; Shanghai Marine Equipment Research Institute,Shanghai,200023);Research on dynamic mechanical behavior and rate-temperature equivalence of rubber[A];[C];2006
4 LIU Xiao-ling,SU Yu-qin (School of Material Science and Engineering,Beijing University of Aeronautics and Astronautics, 100191,China);The application of PID temperature control system in the experiment of polymer creep deformation[A];[C];2009
5 Liu Guang-jian Li Xiao-lei (The department of plastics machine.BeiJing University of Chemical Technology,BeiJing 100029);THE COMPUTATION AND ANALYSIS TO PLASTIC GEAR WITH VISCOELASTIC FEM[A];[C];2010
6 PAN Dou-xing,KANG Guo-zheng,ZHU Zhi-wu (School of Mechanics and Eng.,Southwest Jiaotong Univ.,Chengdu 610031,China);Three Typical Nonlinear Viscoelastic Models and Their Applications in Describing the Cyclic Deformation of Polymer[A];[C];2010
7 WANG Zhichao~(1**),LUO Yingshe~(2***),TANG Songhua~3,GONG Weifeng~4 (1.College of Civil Engineering and Mechanics,Xiangtan University,Xiangtan 411105,China;2.Institute of Rheological Mechanics and Material Engineering,Central South University of Forestry and Technology,Changsha 410004,China; 3.Institute of Civil Engineering,Central South University,Changsha 410075,China; 4.Construction bureau of high-tech development zone,Yiyang 413000,China);Study on Rheological Constitutive Model of High-filled Subgrade Compacted Soil Based on Fractional Calculus[A];[C];2010
8 Hui Li,Yingshe Luo,Jianjun Xie,Shengming Chen Institute of Rheological Mechanics and Material Engineering, Central South University of Forestry and Technology,Changsha 410004 China;Research on Creep Properties of Room-Temperature Curing Epoxy Adhesive[A];[C];2012
Chinese Journal Full-text Database 10 Hits
1 Feng Neng lian(Department of Agricultural Engineering);The Study of Apple Deformation Law unde rStatic Load[J];JOURNAL OF ANHUI AGRICULTURAL UNIVERSITY;1995-02
2 Feng Nenglian(Department of Agricultural Engineering,Agricultural University,Hefei 30036);The Apple Bruise under Static Load[J];JOURNAL OF ANHUI AGRICULTURAL UNIVERSITY;1996-01
3 Shi Zhenming1,3,Zhang Li1,2 (1.Department of Geotechnical Engineering,Tongji University,Shanghai 200092 China;2.Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,Tongji University,Shanghai 200092 China;3.Shanghai Guanglian Construction Development Co.Ltd,Shanghai 200438 China);Study on Rheological Rules of Greenschist in Jinping Hydropower Station under Condition of Step Unloading[J];Chinese Journal of Underground Space and Engineering;2010-04
4 Shen Tingfang;Gao Ming;Zhao Bohua (Beijing Institute of Technology)(Institute No.210,Academy No.2,China Aerospace Corporation)(Beijing Institute of Technology);ENGINEERING METHODS FOR THE TRANSFORM INVERSION OF SIRESS RELAXATION MODULUS AND COMPLEX MODULUS[J];Acta Armamentarii;1995-03
5 Liu Xiandong\ Deng Zhidang\ Gao Feng (Dept. of Automobile Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China);Research on the method of simulating road roughness numerically[J];Journal of Beijing University of Aeronautics and Astronautics;2003-09
6 Xu Shifa (Second Department of Civil Engineering);A Rheological Model Representing the Deformation Behavior of Asphalt Mixtures[J];Journal of Beijing Institute of Civil Engineering and Architecture;1991-01
7 WANG Li-Li ,DONG Xin-Long,SUN Zi-Jian(Mechanics and Materials Science Research Center,Ningbo University,Ningbo315211,Zhejiang,China);Dynamic constitutive behavior of materials at high strain rate taking account of damage evolution[J];Explosion and Shock Waves;2006-03
8 ZHANG Xiao-min,PENG Xiang-he,ZHANG Pei-yuan (Department of Engineering Mechanics,Chongqing University,Chongqing,400044);An alternate computing method of thermo-mechanical coupling problems[J];Explosion and Shock Waves;2006-04
9 SUN Zhen-sheng , ZHANG Shi-ying (The Second Artillery Engineering College, Xi’an 710025, Shaanxi, China);Discontinuous Galerkin method and computation of fluid-rigid interaction[J];Explosion and Shock Waves;2008-01
10 LU Li-xin,WANG Zhi-wei (Southern Yangtze University, Wuxi 214063, China);Study of Mechanisms of Mechanical Damage and Transport Packaging in Fruits Transportation[J];Packaging Engineering;2004-04
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 Zhang Shengqin1,Wang Jun1,2,Lu Lixin1,2(1.Department of Packaging Engineering,Jiangnan University,Wuxi Jiangsu 214122,China;2.Key Laboratory of Food Packaging Techniques and Safety of China National Packaging Corporation,Jiangnan University,Wuxi Jiangsu 214122,China);The Shock Characteristics of Multi-Layer Fruits under the Action of Half-Sine Acceleration Pulse[J];Packaging Journal;2011-03
2 ZHAN Xiao-li,ZHANG Xiao-ning,WANG Duan-yi,LU Liang (School of Civil Engineering and Transportation,South China University of Technology,Guangzhou,Guangdong 510640,China);STUDY ON NONLINEAR VISCOELASTIC CONSTITUTIVE EQUATION OF MODIFIED ASPHALT AND ITS APPLICATIONS[J];Engineering Mechanics;2009-04
3 LIU Jiu1,2,YANG Hong-bo1,GONG Yan1,YUAN Wen-quan1 (1.State Key Laboratory of Applied Optics,Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Science,Changchun 130033,China;2.Graduate University of Chinese Academy of Sciences,Beijing 100049,China);Analysis of Surface Figure Error at Different Curing Time on Bonding Structure of Optical-mechanical System[J];Opto-Electronic Engineering;2011-10
4 LIANG Jun-long,GAO Jiang-ping(Highway School,Chang'an University,Xi'an 710064,China);A study on nonlinear viscoelastic constitutive equation of asphalt mixture[J];Journal of Guangxi University(Natural Science Edition);2012-04
5 YANG E(School of Navigational Engineering,Guangzhou Maritime College,Guangzhou Guangdong,510700,China);Research on the Temperature Rheological Properties of TLA Modified Asphalt[J];Journal of Guangzhou Maritime College;2012-03
6 XIAO Shi-wu,ZHOU Xiong,HU Xiao-ling,LUO Wen-bo(College of Civil Engineering and Mechanics,Xiangtan University,Xiangtan,Hunan 411105,China);LINEAR RHEOLOGICAL SOLID MODEL WITH FRACTIONAL DERIVATIVE AND ITS APPLICATION[J];Engineering Mechanics;2012-10
7 WANG Qi;DONG Xufeng;LI Luyu;TONG Yu;OU Jinping;School of Civil Engineering,Dalian University of Technology;School of Materials Science and Engineering,Dalian University of Technology;;Constitutive description for relaxation behavior of magnetorheological elastomer[J];Acta Materiae Compositae Sinica;2013-S1
8 Zhan Xiao-li1,2 Wang Duan-yi1(1.School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510640,Guangdong,China;2.College of Civil Engineering and Architecture,Zhejiang University of Technology,Hangzhou 310014,Zhejiang,China);Analysis of Viscoelastic Properties of Modified Asphalt via Dynamic Mechanical Method[J];Journal of South China University of Technology(Natural Science Edition);2010-03
9 CUI Ya-nan~1,XING Yong-ming~2,WANG Lan~1,ZHANG Shu-yan~1 (1.School of Civil Engineering,Inner Mongolia University of Technology,Huhhot 010051,China; 2.School of Science,Inner Mongolia University of Technology,Huhhot 010051,China);Improvement Mechanism of Crumb Rubber-Modified Asphalt[J];Journal of Building Materials;2011-05
10 Liu Chunlei Liu Chao(Forest Design And Research Institute Of Heilongjiang Province);Application Of SBS Modified Asphalt Mixture And Glass Fiber Polyester Anti-cracking Cloth In Road Construction[J];Forestry Science and Technology Information;2012-01
China Proceedings of conference Full-text Database 1 Hits
1 L Hou,C.Y.Song College of Mechanical and Transportation Engineering, China University of Petroleum,Beijing 102249 China;Creep equation of fractional calculus for gelled waxy crude oil[A];[C];2012
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 ZHANG Weimin (Department of Architectural Engineering,,Xiangtang University,Xiangtang,411105,China);A New Rheological Model Theory with Fractional Order Derivatives[J];Natural Science Journal of Xiangtan University;2001-01
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved