메뉴 건너뛰기




Volumn 132, Issue 1, 2006, Pages 54-64

Hyperelasticity model for finite element analysis of natural and high damping rubbers in compression and shear

Author keywords

Base isolation; Compression; Damping; Finite element method; Identification; Material properties; Nonlinear analysis; Rubber; Shear

Indexed keywords

COMPUTER SIMULATION; DAMPING; ELASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; OPTIMIZATION; PARAMETER ESTIMATION; SHEAR DEFORMATION; STIFFNESS; STRAIN;

EID: 31144474781     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2006)132:1(54)     Document Type: Article
Times cited : (73)

References (79)
  • 1
    • 0003667940 scopus 로고    scopus 로고
    • ABAQUS Version 5.6, Hibbitt, Karlsson & Sorensen, Inc., Providence, R.I
    • ABAQUS (1996). Theory manual, Version 5.6, Hibbitt, Karlsson & Sorensen, Inc., Providence, R.I.
    • (1996) Theory Manual
  • 2
    • 58149481797 scopus 로고    scopus 로고
    • "Interpretation of the high-low-strain modulus of filled rubbers as an inelastic effect"
    • J. Busfield and A. Muhr, eds., Balkema, Rotterdam, The Netherlands
    • Ahmadi, H. R., Kingston, J. G. R, Muhr, A. H., Gracia, L. A., and Gómez, B. (2003). "Interpretation of the high-low-strain modulus of filled rubbers as an inelastic effect." Proc., 3rd European Conf. on Constitutive Models for Rubber, J. Busfield and A. Muhr, eds., Balkema, Rotterdam, The Netherlands, 357-364.
    • (2003) Proc., 3rd European Conf. on Constitutive Models for Rubber , pp. 357-364
    • Ahmadi, H.R.1    Kingston, J.G.R.2    Muhr, A.H.3    Gracia, L.A.4    Gómez, B.5
  • 4
    • 0348239955 scopus 로고
    • "A constitutive relation for rubber-like materials"
    • IJESAN 0020-7225 10.101/0020-7225(8)9000-2
    • Alexander, H. (1968). "A constitutive relation for rubber-like materials." Int. J. Eng. Sci.IJESAN0020-722510.1016/ 0020-7225(68)90006-2, 6, 549-563.
    • (1968) Int. J. Eng. Sci. , vol.6 , pp. 549-563
    • Alexander, H.1
  • 5
    • 0029344066 scopus 로고
    • "Modeling of rubber and lead passive-control bearings for seismic analysis"
    • JSENDH 0733-9445 10.1061/(ASCE)0733-9445():7(1134)
    • Ali, H. M., and Abdel-Ghaffar, A. M. (1995). "Modeling of rubber and lead passive-control bearings for seismic analysis." J. Struct. Eng.JSENDH0733-944510.1061/(ASCE)0733-9445(1995)121:7(1134), 121(7), 1134-1144.
    • (1995) J. Struct. Eng. , vol.121 , Issue.7 , pp. 1134-1144
    • Ali, H.M.1    Abdel-Ghaffar, A.M.2
  • 6
    • 0003498981 scopus 로고
    • American Association for State Highway and Transportation Officials (AASHTO). 15th Ed., Washington, D.C
    • American Association for State Highway and Transportation Officials (AASHTO). (1992). Standard specifications for highway bridges, 15th Ed., Washington, D.C.
    • (1992) Standard Specifications for Highway Bridges
  • 7
    • 24544432807 scopus 로고    scopus 로고
    • "Constitutive modeling for strain-rate dependency of natural and high damping rubbers"
    • PhD thesis, Saitama Univ., Saitama, Japan
    • Amin, A. F. M. S. (2001). "Constitutive modeling for strain-rate dependency of natural and high damping rubbers." PhD thesis, Saitama Univ., Saitama, Japan.
    • (2001)
    • Amin, A.F.M.S.1
  • 8
    • 0036470022 scopus 로고    scopus 로고
    • "An improved hyperelasticity relation in modeling viscoelasticity response of natural and high damping rubbers in compression: Experiments, parameter identification, and numerical verification"
    • MSMSD30167-6636
    • Amin, A. F. M. S., Alam, M. S., and Okui, Y. (2002). "An improved hyperelasticity relation in modeling viscoelasticity response of natural and high damping rubbers in compression: Experiments, parameter identification, and numerical verification." Mech. Mater. MSMSD30167-6636, 34, 75-95.
    • (2002) Mech. Mater. , vol.34 , pp. 75-95
    • Amin, A.F.M.S.1    Alam, M.S.2    Okui, Y.3
  • 9
    • 0346669761 scopus 로고    scopus 로고
    • "Measurement of lateral deformation of natural and high damping rubbers in large deformation uniaxial tests"
    • JTEVAB 0090-3973
    • Amin, A. F. M. S., Alam, M. S., and Okui, Y. (2003). "Measurement of lateral deformation of natural and high damping rubbers in large deformation uniaxial tests." J. Test. Eval.JTEVAB0090-3973, 31(6), 524-532.
    • (2003) J. Test. Eval. , vol.31 , Issue.6 , pp. 524-532
    • Amin, A.F.M.S.1    Alam, M.S.2    Okui, Y.3
  • 10
    • 0030234434 scopus 로고    scopus 로고
    • "A constitutive model for compressible elastomeric solids"
    • CMMEEE 0178-7675 10.1007/BF00376130
    • Anand, L. (1996). "A constitutive model for compressible elastomeric solids." Comput. Mech.CMMEEE0178-767510.1007/ BF00376130, 18, 339-355.
    • (1996) Comput. Mech. , vol.18 , pp. 339-355
    • Anand, L.1
  • 11
    • 0041097550 scopus 로고
    • "A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials"
    • JMPSA8 0022-5096 10.1016/0022-5096(93)90013-6
    • Arruda, E. M., and Boyce, M. C. (1993). "A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials." J. Mech. Phys. SolidsJMPSA80022-509610.1016/ 0022-5096(93)90013-6, 41, 389-412.
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 389-412
    • Arruda, E.M.1    Boyce, M.C.2
  • 12
    • 31144463482 scopus 로고    scopus 로고
    • "Finite element modeling for nonlinear elastic response of natural and high damping rubber"
    • MSc thesis, Bangladesh Univ. of Engineering and Technology, Bangladesh
    • Bhuiyan, A. R. (2004). "Finite element modeling for nonlinear elastic response of natural and high damping rubber." MSc thesis, Bangladesh Univ. of Engineering and Technology, Bangladesh.
    • (2004)
    • Bhuiyan, A.R.1
  • 14
    • 0034216714 scopus 로고    scopus 로고
    • "Constitutive models of rubber elasticity: A review"
    • RCTEA4 0035-9475
    • Boyce, M. C., and Arruda, E. M. (2000). "Constitutive models of rubber elasticity: A review." Rubber Chem. Technol.RCTEA40035-9475, 73, 504-523.
    • (2000) Rubber Chem. Technol. , vol.73 , pp. 504-523
    • Boyce, M.C.1    Arruda, E.M.2
  • 15
    • 84981829888 scopus 로고
    • "Mechanical degradation of high polymers"
    • JAPNAB 0021-8995
    • Bueche, F. (1960). "Mechanical degradation of high polymers." J. Appl. Polym. Sci.JAPNAB0021-8995, 4, 101-106.
    • (1960) J. Appl. Polym. Sci. , vol.4 , pp. 101-106
    • Bueche, F.1
  • 16
    • 0029674806 scopus 로고    scopus 로고
    • "Compression behavior of bridge bearings used for seismic isolation"
    • ENSTDF 0141-0296
    • Carr, A. J., Cooke, N., and Moss, P. J. (1996). "Compression behavior of bridge bearings used for seismic isolation." Eng. Struct.ENSTDF0141-0296, 18, 351-362.
    • (1996) Eng. Struct. , vol.18 , pp. 351-362
    • Carr, A.J.1    Cooke, N.2    Moss, P.J.3
  • 17
    • 0008329548 scopus 로고    scopus 로고
    • "Elastomeric materials used for vibration isolation of Railaway Lines"
    • JENMDT 0733-9399
    • Castellani, A., Kajon, G., Panzeri, P., and Pezzoli, P. (1998). "Elastomeric materials used for vibration isolation of Railaway Lines." J. Eng. Mech.JENMDT0733-9399, 124(6), 614-621.
    • (1998) J. Eng. Mech. , vol.124 , Issue.6 , pp. 614-621
    • Castellani, A.1    Kajon, G.2    Panzeri, P.3    Pezzoli, P.4
  • 18
    • 0036918739 scopus 로고    scopus 로고
    • "Modeling of laminated rubber bearings using an analytical stiffness matrix"
    • IJSOAD 0020-7683
    • Chang, C. (2002). "Modeling of laminated rubber bearings using an analytical stiffness matrix." Int. J. Solids Struct.IJSOAD0020-7683, 39, 6055-6078.
    • (2002) Int. J. Solids Struct. , vol.39 , pp. 6055-6078
    • Chang, C.1
  • 19
    • 0028461837 scopus 로고
    • "A review of methods to characterize rubber elastic behavior for use in finite element analysis"
    • RCTEA4 0035-9475
    • Charlton, D. J., Yang, J., and Teh, K. K. (1994). "A review of methods to characterize rubber elastic behavior for use in finite element analysis." Rubber Chem. Technol.RCTEA40035-9475, 67, 481-503.
    • (1994) Rubber Chem. Technol. , vol.67 , pp. 481-503
    • Charlton, D.J.1    Yang, J.2    Teh, K.K.3
  • 20
    • 0026804119 scopus 로고
    • "Wind effects on base-isolated structures"
    • JENMDT 0733-9399
    • Chen, Y., and Ahmadi, G. (1992). "Wind effects on base-isolated structures." J. Eng. Mech.JENMDT0733-9399, 118(8), 1708-1727.
    • (1992) J. Eng. Mech. , vol.118 , Issue.8 , pp. 1708-1727
    • Chen, Y.1    Ahmadi, G.2
  • 21
    • 0028508443 scopus 로고
    • "Characterization of the behavior of rubber for engineering design purposes. 1: Stress-strain relations"
    • RCTEA4 0035-9475
    • Davis, C. K. L., De, D. K., and Thomas, A. G. (1994). "Characterization of the behavior of rubber for engineering design purposes. 1: Stress-strain relations." Rubber Chem. Technol.RCTEA40035-9475, 67, 716-728.
    • (1994) Rubber Chem. Technol. , vol.67 , pp. 716-728
    • Davis, C.K.L.1    De, D.K.2    Thomas, A.G.3
  • 22
    • 0033690425 scopus 로고    scopus 로고
    • "Aspects of cavitation damage in seismic bearings"
    • JSENDH 0733-9445
    • Dorfmann, A., and Burtscher, S. L. (2000). "Aspects of cavitation damage in seismic bearings." J. Struct. Eng.JSENDH0733-9445, 126(5), 573-579.
    • (2000) J. Struct. Eng. , vol.126 , Issue.5 , pp. 573-579
    • Dorfmann, A.1    Burtscher, S.L.2
  • 23
    • 0343436477 scopus 로고    scopus 로고
    • "Highly adaptable rubber isolating system (HARIS)"
    • European Commission Final Technical Rep. Contract No. BRPR-CT95-0072, Project No. Be-1258
    • European Commission (1999). "Highly adaptable rubber isolating system (HARIS)." Final Technical Rep. Contract No. BRPR-CT95-0072, Project No. Be-1258.
    • (1999)
  • 24
    • 0009838489 scopus 로고
    • "Non-linearity in the dynamic properties of vulcanized rubber compounds"
    • Fletcher, W. P., and Gent, A. N. (1953). "Non-linearity in the dynamic properties of vulcanized rubber compounds." Trans. Inst. Rubber Industry, 29, 266-280.
    • (1953) Trans. Inst. Rubber Industry , vol.29 , pp. 266-280
    • Fletcher, W.P.1    Gent, A.N.2
  • 25
    • 0025481977 scopus 로고
    • "Research, development and implementation of rubber bearings for seismic isolations"
    • JSSMEH 0914-8809
    • Fujita, T., Fujita, S., Tazaki, S., Yoshizawa, T., and Suzuki, S. (1990). "Research, development and implementation of rubber bearings for seismic isolations." JSME Int. J., Ser. IJSSMEH0914-8809, 33, 394-403.
    • (1990) JSME Int. J., Ser. I , vol.33 , pp. 394-403
    • Fujita, T.1    Fujita, S.2    Tazaki, S.3    Yoshizawa, T.4    Suzuki, S.5
  • 26
    • 0033882485 scopus 로고    scopus 로고
    • "Nonlinear material parameter estimation for characterizing hyperelastic large strain models"
    • CMMEEE 0178-7675
    • Gendy, A. S., and Saleeb, A. F. (2000). "Nonlinear material parameter estimation for characterizing hyperelastic large strain models." Comput. Mech.CMMEEE0178-7675, 25, 66-77.
    • (2000) Comput. Mech. , vol.25 , pp. 66-77
    • Gendy, A.S.1    Saleeb, A.F.2
  • 27
    • 84981786464 scopus 로고
    • "Relaxation processes in vulcanized rubber. I: Relation among stress relaxation, creep, recovery, and hysteresis"
    • JAPNAB 0021-8995
    • Gent, A. N. (1962a). "Relaxation processes in vulcanized rubber. I: Relation among stress relaxation, creep, recovery, and hysteresis." J. Appl. Polym. Sci.JAPNAB0021-8995, 6, 33-441.
    • (1962) J. Appl. Polym. Sci. , vol.6 , pp. 33-441
    • Gent, A.N.1
  • 28
    • 84981814322 scopus 로고
    • "Relaxation processes in vulcanized rubber. II: Secondary relaxation due to network breakdown"
    • JAPNAB 0021-8995
    • Gent, A. N. (1962b). "Relaxation processes in vulcanized rubber. II: Secondary relaxation due to network breakdown." J. Appl. Polym. Sci.JAPNAB0021-8995, 6, 442-448.
    • (1962) J. Appl. Polym. Sci. , vol.6 , pp. 442-448
    • Gent, A.N.1
  • 29
    • 0020498554 scopus 로고
    • "Large strain solutions for rubber components"
    • CMSTCJ 0045-7949
    • Häggblad, B., and Sundberg, J. A. (1983). "Large strain solutions for rubber components." Comput. Struct.CMSTCJ0045-7949, 17, 835-843.
    • (1983) Comput. Struct. , vol.17 , pp. 835-843
    • Häggblad, B.1    Sundberg, J.A.2
  • 30
    • 0032142494 scopus 로고    scopus 로고
    • "Behavior of elastomeric bridge bearings: Computational results"
    • JBENF2 1084-0702 10.1061/(ASCE)1084-0702():(140)
    • Hamzeh, O. N., Tassoulas, J. L., and Becker, E. B. (1998). "Behavior of elastomeric bridge bearings: Computational results." J. Bridge Eng.JBENF21084-070210.1061/ (ASCE)1084-0702(1998)3:3(140), 3(3), 140-146.
    • (1998) J. Bridge Eng. , vol.3 , Issue.3 , pp. 140-146
    • Hamzeh, O.N.1    Tassoulas, J.L.2    Becker, E.B.3
  • 31
    • 10044245636 scopus 로고
    • "Elasticity parameters for finite deformations of rubber-like materials"
    • ZAMPA8 0044-2275 10.1007/BF01597242
    • Hart-Smith, L. J. (1966). "Elasticity parameters for finite deformations of rubber-like materials." Z. Angew. Math. Phys.ZAMPA80044-227510.1007/BF01597242, 17, 608-626.
    • (1966) Z. Angew. Math. Phys. , vol.17 , pp. 608-626
    • Hart-Smith, L.J.1
  • 32
    • 0023738509 scopus 로고
    • "Nonlinear behavior of elastomeric bearings. I: Theory"
    • JENMDT 0733-9399
    • Herrmann, L. R., Hamidi, R., Shafigh-Nobari, F., and Lim, C. K. (1988a). "Nonlinear behavior of elastomeric bearings. I: Theory." J. Eng. Mech.JENMDT0733-9399, 114(11), 1811-1830.
    • (1988) J. Eng. Mech. , vol.114 , Issue.11 , pp. 1811-1830
    • Herrmann, L.R.1    Hamidi, R.2    Shafigh-Nobari, F.3    Lim, C.K.4
  • 33
    • 0023700515 scopus 로고
    • "Nonlinear behavior of elastomeric bearings. II: FE analysis and verification"
    • JENMDT 0733-9399
    • Herrmann, L. R., Hamidi, R., Shafigh-Nobari, F., and Ramaswamy, A. (1988b). "Nonlinear behavior of elastomeric bearings. II: FE analysis and verification." J. Eng. Mech.JENMDT0733-9399, 114(11), 1831-1853.
    • (1988) J. Eng. Mech. , vol.114 , Issue.11 , pp. 1831-1853
    • Herrmann, L.R.1    Hamidi, R.2    Shafigh-Nobari, F.3    Ramaswamy, A.4
  • 34
    • 0024748347 scopus 로고
    • "Analytical parameter study for class of elastomeric bearings"
    • JSENDH 0733-9445
    • Herrmann, L. R., Ramaswamy, A., and Hamidi, R. (1989). "Analytical parameter study for class of elastomeric bearings." J. Struct. Eng.JSENDH0733-9445, 115(10), 2415-2434.
    • (1989) J. Struct. Eng. , vol.115 , Issue.10 , pp. 2415-2434
    • Herrmann, L.R.1    Ramaswamy, A.2    Hamidi, R.3
  • 35
    • 0033881657 scopus 로고    scopus 로고
    • "Finite deformation viscoelasticity laws"
    • MSMSD3 0167-6636
    • Huber, N., and Tsakmakis, C. (2000). "Finite deformation viscoelasticity laws." Mech. Mater.MSMSD30167-6636, 32, 1-18.
    • (2000) Mech. Mater. , vol.32 , pp. 1-18
    • Huber, N.1    Tsakmakis, C.2
  • 36
    • 0031212079 scopus 로고    scopus 로고
    • "Analytical modeling of high damping rubber bearings"
    • JSENDH 0733-9445 10.1061/(ASCE)0733-9445():8(1029)
    • Hwang, J. S., and Ku, S. W. (1997). "Analytical modeling of high damping rubber bearings." J. Struct. Eng.JSENDH0733-944510.1061/ (ASCE)0733-9445(1997)123:8(1029), 123(8), 1029-1036.
    • (1997) J. Struct. Eng. , vol.123 , Issue.8 , pp. 1029-1036
    • Hwang, J.S.1    Ku, S.W.2
  • 37
    • 0032114988 scopus 로고    scopus 로고
    • "F.E. stress analysis of rubber bearings under axial loads"
    • CMSTCJ 0045-7949 10.1016/S0045-7949(98)00038-8
    • Imbimbo, M., and Luca, A. D. (1998). "F.E. stress analysis of rubber bearings under axial loads." Comput. Struct.CMSTCJ0045-794910.1016/S0045-7949(98)00038-8, 68, 31-39.
    • (1998) Comput. Struct. , vol.68 , pp. 31-39
    • Imbimbo, M.1    Luca, A.D.2
  • 38
    • 0013360049 scopus 로고
    • "Strain energy functions of rubber. I: Characterization of gum vulcanizates"
    • JAPNAB 0021-8995
    • James, A. G., Green, A., and Simpson, G. M. (1975a). "Strain energy functions of rubber. I: Characterization of gum vulcanizates." J. Appl. Polym. Sci.JAPNAB0021-8995, 19, 2033-2058.
    • (1975) J. Appl. Polym. Sci. , vol.19 , pp. 2033-2058
    • James, A.G.1    Green, A.2    Simpson, G.M.3
  • 39
    • 0001245542 scopus 로고
    • "Strain energy functions of rubber. II: The characterization of filled vulcanizates"
    • JAPNAB 0021-8995
    • James, A. G., and Green, A. (1975b). "Strain energy functions of rubber. II: The characterization of filled vulcanizates." J. Appl. Polym. Sci.JAPNAB0021-8995, 19, 2319-2330.
    • (1975) J. Appl. Polym. Sci. , vol.19 , pp. 2319-2330
    • James, A.G.1    Green, A.2
  • 40
    • 0019686576 scopus 로고
    • "A finite element method for the analysis of rubber parts, experimental and analytical assessment"
    • CMSTCJ 0045-7949
    • Jankovich, E., Leblanc, F., and Durand, M. (1981). "A finite element method for the analysis of rubber parts, experimental and analytical assessment." Comput. Struct.CMSTCJ0045-7949, 14, 385-391.
    • (1981) Comput. Struct. , vol.14 , pp. 385-391
    • Jankovich, E.1    Leblanc, F.2    Durand, M.3
  • 41
    • 0017562603 scopus 로고
    • "Strain energy density functions of rubber vulcanizates from biaxial extension"
    • APSIDK 0065-3195
    • Kawabata, S., and Kawai, H. (1977). "Strain energy density functions of rubber vulcanizates from biaxial extension." Adv. Polym. Sci.APSIDK0065-3195, 24, 90-124.
    • (1977) Adv. Polym. Sci. , vol.24 , pp. 90-124
    • Kawabata, S.1    Kawai, H.2
  • 42
    • 0001331751 scopus 로고
    • "Experimental survey of the strain energy density function of isoprene rubber vulcanizate"
    • MAMOBX 0024-9297
    • Kawabata, S., Matsuda, M., Tei, K., and Kawai, H. (1981). "Experimental survey of the strain energy density function of isoprene rubber vulcanizate." MacromoleculesMAMOBX0024-9297, 14, 154-162.
    • (1981) Macromolecules , vol.14 , pp. 154-162
    • Kawabata, S.1    Matsuda, M.2    Tei, K.3    Kawai, H.4
  • 44
    • 0033225904 scopus 로고    scopus 로고
    • "New phenomenological behavior laws for rubbers and thermo plastic elastomers"
    • EJASEV 0997-7538
    • Lambert-Diani, J., and Rey, C. (1999). "New phenomenological behavior laws for rubbers and thermo plastic elastomers." Eur. J. Mech. A/SolidsEJASEV0997-7538, 18, 1027-1043.
    • (1999) Eur. Mech. A/Solids , vol.18 , pp. 1027-1043
    • Lambert-Diani, J.1    Rey, C.2
  • 45
    • 0023089933 scopus 로고
    • "Equivalent homogeneous FE model for elastomeric bearings"
    • JSENDH 0733-9445
    • Lim, C. K., and Herrmann, L. R. (1987). "Equivalent homogeneous FE model for elastomeric bearings." J. Struct. Eng.JSENDH0733-9445, 113(1), 106-125.
    • (1987) J. Struct. Eng. , vol.113 , Issue.1 , pp. 106-125
    • Lim, C.K.1    Herrmann, L.R.2
  • 46
    • 31144445672 scopus 로고    scopus 로고
    • MSC Software Corporation, Redwood City, Calif
    • MARC (1996). MSC Software Corporation, Redwood City, Calif.
    • (1996) MARC
  • 47
    • 0026153553 scopus 로고
    • "Shape optimization of a rubber bearing"
    • IJFADB 0142-1123
    • Mattheck, C., and Erb, D. (1991). "Shape optimization of a rubber bearing." Int. J. FatigueIJFADB0142-1123, 13, 206-208.
    • (1991) Int. J. Fatigue , vol.13 , pp. 206-208
    • Mattheck, C.1    Erb, D.2
  • 48
    • 0042755636 scopus 로고
    • "A theory of large elastic deformation"
    • JAPIAU 0021-8979 10.1063/1.1712836
    • Mooney, M. (1940). "A theory of large elastic deformation." J. Appl. Phys.JAPIAU0021-897910.1063/1.1712836, 11, 582-592.
    • (1940) J. Appl. Phys. , vol.11 , pp. 582-592
    • Mooney, M.1
  • 49
    • 0029674806 scopus 로고    scopus 로고
    • "Compression behavior of bridge bearings used for seismic isolation"
    • ENSTDF 0141-0296
    • Mori, A., Carr, A. J., Cooke, N., and Moss, P. J. (1996). "Compression behavior of bridge bearings used for seismic isolation." Eng. Struct.ENSTDF0141-0296, 18, 351-362.
    • (1996) Eng. Struct. , vol.18 , pp. 351-362
    • Mori, A.1    Carr, A.J.2    Cooke, N.3    Moss, P.J.4
  • 50
    • 0000320199 scopus 로고
    • "Softening of rubber by deformations"
    • RCTEA4 0035-9475
    • Mullins, L. (1969). "Softening of rubber by deformations." Rubber Chem. Technol.RCTEA40035-9475, 42, 339-362.
    • (1969) Rubber Chem. Technol. , vol.42 , pp. 339-362
    • Mullins, L.1
  • 51
    • 0023568766 scopus 로고
    • "Engineering with rubber"
    • CHTEAA 0045-6519
    • Mullins, L. (1987). "Engineering with rubber." Chem. Tech. (Leipzig)CHTEAA0045-6519, 13, 720-727.
    • (1987) Chem. Tech. (Leipzig) , vol.13 , pp. 720-727
    • Mullins, L.1
  • 52
    • 0032075381 scopus 로고    scopus 로고
    • "Finite element analysis of hyperelastic components"
    • AMREAD 0003-6900
    • Nicholson, D. W., Nelson, N. W., Lin, B., and Farinella, A. (1998). "Finite element analysis of hyperelastic components." Appl. Mech. Rev.AMREAD0003-6900, 51, 303-320.
    • (1998) Appl. Mech. Rev. , vol.51 , pp. 303-320
    • Nicholson, D.W.1    Nelson, N.W.2    Lin, B.3    Farinella, A.4
  • 53
    • 0001737632 scopus 로고
    • "Large deformation isotropic elasticity: On the correlation of theory and experiment for compressible rubberlike solids"
    • PRLAAZ 1364-5021
    • Ogden, R. W. (1972). "Large deformation isotropic elasticity: On the correlation of theory and experiment for compressible rubberlike solids." Proc. R. Soc. London, Ser. APRLAAZ1364-5021, 328, 567-583.
    • (1972) Proc. Soc. London, Ser. A , vol.328 , pp. 567-583
    • Ogden, R.W.1
  • 54
    • 0015051927 scopus 로고
    • "Low strain dynamic properties of filled rubbers"
    • RCTEA4 0035-9475
    • Payne, A. R., and Whittaker, R. E. (1971). "Low strain dynamic properties of filled rubbers." Rubber Chem. Technol.RCTEA40035-9475, 44, 440-478.
    • (1971) Rubber Chem. Technol. , vol.44 , pp. 440-478
    • Payne, A.R.1    Whittaker, R.E.2
  • 55
    • 0031076951 scopus 로고    scopus 로고
    • "A compressible approach in finite element analysis of rubber elastic materials"
    • CMSTCJ 0045-7949
    • Peng, S. H., and Chang, S. H. (1997). "A compressible approach in finite element analysis of rubber elastic materials." Comput. Struct.CMSTCJ0045-7949, 62, 573-593.
    • (1997) Comput. Struct. , vol.62 , pp. 573-593
    • Peng, S.H.1    Chang, S.H.2
  • 56
    • 0015361006 scopus 로고
    • "Stored energy function of rubberlike materials derived from simple tensile data"
    • JAPIAU 0021-8979 10.1063/1.1661660
    • Peng, T. J., and Landel, R. F. (1972). "Stored energy function of rubberlike materials derived from simple tensile data." J. Appl. Phys.JAPIAU0021-897910.1063/1.1661660, 43, 3064-3067.
    • (1972) J. Appl. Phys. , vol.43 , pp. 3064-3067
    • Peng, T.J.1    Landel, R.F.2
  • 57
    • 0039793619 scopus 로고
    • "Large strain viscoelastic constitutive models for rubber. II: Determination of material constants"
    • RCTEA4 0035-9475
    • Quigley, C. J., Mead, J., and Johnson, A. R. (1995). "Large strain viscoelastic constitutive models for rubber. II: Determination of material constants." Rubber Chem. Technol.RCTEA40035-9475, 68, 230-247.
    • (1995) Rubber Chem. Technol. , vol.68 , pp. 230-247
    • Quigley, C.J.1    Mead, J.2    Johnson, A.R.3
  • 58
    • 31144445124 scopus 로고    scopus 로고
    • "Structural bearings and expansion joints for bridges"
    • International Association for Bridge and Structural Engineering, Zurich, Switzerland.,. "Structural Engineering Documents 6, International Association for Bridge and Structural Engineering, Zurich, Switzerland
    • Ramberger, G. (2002). "Structural bearings and expansion joints for bridges." Structural Engineering Documents 6, International Association for Bridge and Structural Engineering, Zurich, Switzerland.
    • (2002) Structural Engineering Documents 6
    • Ramberger, G.1    Ramberger, G.2
  • 59
    • 0000298336 scopus 로고
    • "Large elastic deformations of isotropic materials: Fundamental concepts"
    • PTRMAD 0962-8428
    • Rivlin, R. S. (1948a). "Large elastic deformations of isotropic materials: Fundamental concepts." Philos. Trans. R. Soc. London, Ser. APTRMAD0962-8428, 240, 459-490.
    • (1948) Philos. Trans. Soc. London, Ser. A , vol.240 , pp. 459-490
    • Rivlin, R.S.1
  • 60
    • 0000298338 scopus 로고
    • "Large elastic deformations of isotropic materials IV. Further developments of the general theory"
    • PTRMAD 0962-8428
    • Rivlin, R. S. (1948b). "Large elastic deformations of isotropic materials IV. Further developments of the general theory." Philos. Trans. R. Soc. London, Ser. APTRMAD0962-8428, 241, 379-397.
    • (1948) Philos. Trans. Soc. London, Ser. A , vol.241 , pp. 379-397
    • Rivlin, R.S.1
  • 61
    • 0020952012 scopus 로고
    • "Elastomeric bearings: State-of-the-art"
    • JSENDH0733-9445
    • Roeder, C. W., and Stanton, J. F. (1983). "Elastomeric bearings: State-of-the-art." J. Struct. Eng. JSENDH0733-9445, 109(12), 2853-2871.
    • (1983) J. Struct. Eng. , vol.109 , Issue.12 , pp. 2853-2871
    • Roeder, C.W.1    Stanton, J.F.2
  • 62
    • 0000032813 scopus 로고    scopus 로고
    • "Direct comparison of some recent rubber elasticity models"
    • RCTEA4 0035-9475
    • Seibert, D. J., and Schöche, N. (2000). "Direct comparison of some recent rubber elasticity models." Rubber Chem. Technol.RCTEA40035-9475, 73, 366-384.
    • (2000) Rubber Chem. Technol. , vol.73 , pp. 366-384
    • Seibert, D.J.1    Schöche, N.2
  • 63
    • 0020190798 scopus 로고
    • "Penalty function formulations for incompressible nonlinear elastics"
    • CMMECC 0045-7825 10.1016/0045-7825(82)900-4
    • Simo, J. C., and Taylor, R. L. (1982). "Penalty function formulations for incompressible nonlinear elastics." Comput. Methods Appl. Mech. Eng.CMMECC0045-782510.1016/0045-7825(82)90035-4, 35, 107-118.
    • (1982) Comput. Methods Appl. Mech. Eng. , vol.35 , pp. 107-118
    • Simo, J.C.1    Taylor, R.L.2
  • 65
    • 37049172859 scopus 로고
    • "Stress-strain data for vulcanized rubber under various types of deformations"
    • TFSOA4 0014-7672
    • Treloar, L. R. G. (1944). "Stress-strain data for vulcanized rubber under various types of deformations." Trans. Faraday Soc.TFSOA40014-7672, 29, 59-70.
    • (1944) Trans. Faraday Soc. , vol.29 , pp. 59-70
    • Treloar, L.R.G.1
  • 67
    • 0008400499 scopus 로고
    • "Constitutive equations for elastomers"
    • RCTEA4 0035-9475
    • Tschoegl, N. W. (1972). "Constitutive equations for elastomers." Rubber Chem. Technol.RCTEA40035-9475, 45, 60-70.
    • (1972) Rubber Chem. Technol. , vol.45 , pp. 60-70
    • Tschoegl, N.W.1
  • 68
    • 0000757497 scopus 로고
    • "The strain-energy density function of a hyperelastic material in terms of the extension ratios"
    • JAPIAU 0021-8979 10.1063/1.1710039
    • Valanis, K. C., and Landel, R. F. (1967). "The strain-energy density function of a hyperelastic material in terms of the extension ratios." J. Appl. Phys.JAPIAU0021-897910.1063/1.1710039, 38, 2997-3002.
    • (1967) J. Appl. Phys. , vol.38 , pp. 2997-3002
    • Valanis, K.C.1    Landel, R.F.2
  • 69
    • 0028017028 scopus 로고
    • "On the behavior of rubber-like materials in compression and shear"
    • AAMEEA 0939-1533
    • van den Bogert, P. A. J., and de Borst, R. (1994). "On the behavior of rubber-like materials in compression and shear." Arch. Appl. Mech.AAMEEA0939-1533, 64, 136-146.
    • (1994) Arch. Appl. Mech. , vol.64 , pp. 136-146
    • van den Bogert, P.A.J.1    de Borst, R.2
  • 71
    • 31144441010 scopus 로고    scopus 로고
    • "Mechanical behavior of high damping rubber under shear deformation"
    • MSc thesis, Saitama Univ., Saitama, Japan
    • Wiraguna, S. I. (2003). "Mechanical behavior of high damping rubber under shear deformation." MSc thesis, Saitama Univ., Saitama, Japan.
    • (2003)
    • Wiraguna, S.I.1
  • 72
    • 0004149831 scopus 로고    scopus 로고
    • (1999) 4th ed., Media/Cambridge Univ. Press
    • Wolfram, S. (1999). (1999). The Mathematica Book, 4th ed., Wolfram Media/ Cambridge Univ. Press.
    • (1999) The Mathematica Book
    • Wolfram, S.1
  • 73
    • 0008373124 scopus 로고
    • "Approximated form of the strain energy density function of carbon-black filled rubbers for industrial applications"
    • (in Japanese)
    • Yamashita, Y., and Kawabata, S. (1992). "Approximated form of the strain energy density function of carbon-black filled rubbers for industrial applications." J. Soc. Rubber Ind. (Jpn.), 65, 517-528 (in Japanese).
    • (1992) J. Soc. Rubber Ind. (Jpn.) , vol.65 , pp. 517-528
    • Yamashita, Y.1    Kawabata, S.2
  • 74
    • 0001248405 scopus 로고
    • "Characterization of elastic properties of carbon-black filled rubber vulcanizates"
    • RCTEA4 0035-9475
    • Yeoh, O. H. (1990). "Characterization of elastic properties of carbon-black filled rubber vulcanizates." Rubber Chem. Technol.RCTEA40035-9475, 63, 792-805.
    • (1990) Rubber Chem. Technol. , vol.63 , pp. 792-805
    • Yeoh, O.H.1
  • 75
    • 0027701267 scopus 로고
    • "Some forms of strain energy function for rubber"
    • RCTEA40035-9475
    • Yeoh, O. H. (1993). "Some forms of strain energy function for rubber." Rubber Chem. Technol. RCTEA40035-9475, 66, 754-771.
    • (1993) Rubber Chem. Technol. , vol.66 , pp. 754-771
    • Yeoh, O.H.1
  • 76
    • 0012239959 scopus 로고    scopus 로고
    • "On the Ogden stain-energy function"
    • RCTEA4 0035-9475
    • Yeoh, O. H. (1997). "On the Ogden stain-energy function." Rubber Chem. Technol.RCTEA40035-9475, 70, 175-182.
    • (1997) Rubber Chem. Technol. , vol.70 , pp. 175-182
    • Yeoh, O.H.1
  • 77
    • 1342308758 scopus 로고    scopus 로고
    • "Constitutive model of high-damping rubber materials"
    • JENMDT 0733-9399 10.1061/(ASCE)0733-9399(2004):2(129)
    • Yoshida, J., Abe, M., and Fujino, Y. (2004a). "Constitutive model of high-damping rubber materials." J. Eng. Mech.JENMDT0733-939910.1061/(ASCE)0733-9399(2004)130:2(129), 130(2), 129-141.
    • (2004) J. Eng. Mech. , vol.130 , Issue.2 , pp. 129-141
    • Yoshida, J.1    Abe, M.2    Fujino, Y.3
  • 78
    • 1342310360 scopus 로고    scopus 로고
    • "Three-dimensional finite-element analysis of high damping rubber bearings"
    • JENMDT 0733-9399 10.1061/(ASCE)0733-9399(2004):5(607)
    • Yoshida, J., Abe, M., and Fujino, Y., and Watanabe, H. (2004b). "Three-dimensional finite-element analysis of high damping rubber bearings." J. Eng. Mech.JENMDT0733-939910.1061/ (ASCE)0733-9399(2004)130:5(607), 130(5), 607-620.
    • (2004) J. Eng. Mech. , vol.130 , Issue.5 , pp. 607-620
    • Yoshida, J.1    Abe, M.2    Fujino, Y.3    Watanabe, H.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.