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Volumn 67, Issue 1, 2000, Pages 17-21

On the development of volumetric strain energy functions

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; ELASTICITY; FUNCTIONS;

EID: 0034156395     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.321146     Document Type: Article
Times cited : (156)

References (24)
  • 2
    • 0006280110 scopus 로고
    • Thermodynamic Relations for High Elastic Materials
    • Flory, P. J., 1961, "Thermodynamic Relations for High Elastic Materials," Trans. Faraday Soc., 57, pp. 829-838.
    • (1961) Trans. Faraday Soc. , vol.57 , pp. 829-838
    • Flory, P.J.1
  • 3
    • 0000708891 scopus 로고
    • Volume Changes Accompanying the Extension of Rubber
    • Penn, R. W., 1970, "Volume Changes Accompanying the Extension of Rubber," Trans. Soc. Rheol., 14. No. 4, pp. 509-517.
    • (1970) Trans. Soc. Rheol. , vol.14 , Issue.4 , pp. 509-517
    • Penn, R.W.1
  • 5
    • 0002537338 scopus 로고
    • Elastic Deformations of Rubberlike Solids
    • H. G. Hopkins and M. J. Sewell eds., Pergamon Press, Tarrytown, NY
    • Ogden, R. W., 1982, "Elastic Deformations of Rubberlike Solids," Mechanics of Solids, The Rodney Hill 60ih Anniversary Volume H. G. Hopkins and M. J. Sewell eds., Pergamon Press, Tarrytown, NY, pp. 499-537.
    • (1982) Mechanics of Solids, the Rodney Hill 60ih Anniversary Volume , pp. 499-537
    • Ogden, R.W.1
  • 7
    • 33747328819 scopus 로고    scopus 로고
    • A Critical Assessment of Volumetric Strain Energy Functions for Hyperelasticity at Large Strains
    • Liu, C. H., and Mang, H. A., 1996, "A Critical Assessment of Volumetric Strain Energy Functions for Hyperelasticity at Large Strains," Z. Angew. Math. Mech., 76, No. S5, pp. 305-306.
    • (1996) Z. Angew. Math. Mech. , vol.76 , Issue.S5 , pp. 305-306
    • Liu, C.H.1    Mang, H.A.2
  • 8
    • 0023170746 scopus 로고
    • A Finite Element Formulation for Nonlinear Incompressible Elastic and Inelastic Analysis
    • Sussman, T., and Bathe, K. J., 1987, "A Finite Element Formulation for Nonlinear Incompressible Elastic and Inelastic Analysis," Comput. Struct., 26, No. 1-2, pp. 357-409.
    • (1987) Comput. Struct. , vol.26 , Issue.1-2 , pp. 357-409
    • Sussman, T.1    Bathe, K.J.2
  • 9
    • 0023964056 scopus 로고
    • A Framework for Finite Strain Elastoplasticity Based on Maximum Plastic Dissipation and the Multiplicative Decomposition: Part I. Continuum Formulation
    • Simo, J. C., 1988, "A Framework for Finite Strain Elastoplasticity Based on Maximum Plastic Dissipation and the Multiplicative Decomposition: Part I. Continuum Formulation," Comput. Methods Appl. Mech. Eng., 66, pp. 199-219.
    • (1988) Comput. Methods Appl. Mech. Eng. , vol.66 , pp. 199-219
    • Simo, J.C.1
  • 10
    • 33747274943 scopus 로고
    • Constitutive Aspects and Finite Element Analysis of 3D Rubber Specimens in Compression and Shear
    • G. N. Pande and J. Middleton, eds., Elsevier Applied Science, Swansea
    • van den Bogert, P. A. J., and de Borst, R., 1990, "Constitutive Aspects and Finite Element Analysis of 3D Rubber Specimens in Compression and Shear," NUMETA 90: Numerical Methods in Engineering: Theory and Applications, G. N. Pande and J. Middleton, eds., Elsevier Applied Science, Swansea, pp. 870-877.
    • (1990) NUMETA 90: Numerical Methods in Engineering: Theory and Applications , pp. 870-877
    • Van Den Bogert, P.A.J.1    De Borst, R.2
  • 11
    • 0006811869 scopus 로고
    • Large Strain Analysis of Rubber-Like Materials Based on a Perturbed Lagrangian Variational Principle
    • Chang, T. Y., Saleeb, A. F., and Li, G., 1991, "Large Strain Analysis of Rubber-Like Materials Based on a Perturbed Lagrangian Variational Principle," Comput. Mech., 8, pp. 221-233.
    • (1991) Comput. Mech. , vol.8 , pp. 221-233
    • Chang, T.Y.1    Saleeb, A.F.2    Li, G.3
  • 12
    • 0002856878 scopus 로고
    • The Elastic Behavior of Vulcanized Rubber
    • Hencky, H., 1933, "The Elastic Behavior of Vulcanized Rubber," ASME J. Appl. Mech., 1, pp. 45-53.
    • (1933) ASME J. Appl. Mech. , vol.1 , pp. 45-53
    • Hencky, H.1
  • 13
    • 0000757497 scopus 로고
    • The Strain-Energy Function of a Hyperplastic Material in Terms of the Extension Ratios
    • Valanis, K. C., and Landel, R. F., 1967, "The Strain-Energy Function of a Hyperplastic Material in Terms of the Extension Ratios," J. Appl. Phys., 38, No. 7, pp. 2997-3002.
    • (1967) J. Appl. Phys. , vol.38 , Issue.7 , pp. 2997-3002
    • Valanis, K.C.1    Landel, R.F.2
  • 14
    • 46549096707 scopus 로고
    • Variational and Projection Methods for Volume Constraint in Finite Deformation Elasto-Plasticity
    • Simo, J. C., Taylor, R. L., and Pfister, K. S., 1985, "Variational and Projection Methods for Volume Constraint in Finite Deformation Elasto-Plasticity," Comput. Methods Appl. Mech. Eng., 51, pp. 177-208.
    • (1985) Comput. Methods Appl. Mech. Eng. , vol.51 , pp. 177-208
    • Simo, J.C.1    Taylor, R.L.2    Pfister, K.S.3
  • 15
    • 0026910667 scopus 로고
    • Algorithms for Static and Dynamic Multiplicative Plasticity that Preserve the Classical Return Mapping Schemes of the Infinitesimal Theory
    • Simo, J. C., 1992, "Algorithms for Static and Dynamic Multiplicative Plasticity That Preserve the Classical Return Mapping Schemes of the Infinitesimal Theory," Comput. Methods Appl. Mech. Eng., 99, pp. 61-112.
    • (1992) Comput. Methods Appl. Mech. Eng. , vol.99 , pp. 61-112
    • Simo, J.C.1
  • 16
    • 0030214836 scopus 로고    scopus 로고
    • Large Elasto-Plastic Finite Element Analysis of Solids and Shells with the Enhanced Assumed Strain Concept
    • Roehl, D., and Ramm, E., 1996, "Large Elasto-Plastic Finite Element Analysis of Solids and Shells With the Enhanced Assumed Strain Concept," Int. J. Solids Struct., 33, No. 20-22, pp. 3215-3237.
    • (1996) Int. J. Solids Struct. , vol.33 , Issue.20-22 , pp. 3215-3237
    • Roehl, D.1    Ramm, E.2
  • 17
    • 0020190798 scopus 로고
    • Penalty Function Formulations for Incompressible Nonlinear Elastostatics
    • Simo, J. C., and Taylor, R. L., 1982, "Penalty Function Formulations for Incompressible Nonlinear Elastostatics," Comput. Methods Appl. Mech. Eng., 35, pp. 107-118.
    • (1982) Comput. Methods Appl. Mech. Eng. , vol.35 , pp. 107-118
    • Simo, J.C.1    Taylor, R.L.2
  • 18
    • 0001737632 scopus 로고
    • Large Deformation Isotropic Elasticity: On the Correlation of Theory and Experiment for Compressible Rubberlike Solids
    • Ogden, R. W., 1972, "Large Deformation Isotropic Elasticity: on the Correlation of Theory and Experiment for Compressible Rubberlike Solids," Proc. R. Soc. London, Ser. A, 328, pp. 567-583.
    • (1972) Proc. R. Soc. London, Ser. A , vol.328 , pp. 567-583
    • Ogden, R.W.1
  • 19
    • 0026103678 scopus 로고
    • Quasi-Incompressible Finite Elasticity in Principal Stretches. Continuum Basis and Numerical Algorithms
    • Simo, J. C., and Taylor, R. L., 1991, "Quasi-Incompressible Finite Elasticity in Principal Stretches. Continuum Basis and Numerical Algorithms," Comput. Methods Appl. Mech. Eng., 85, pp. 273-310.
    • (1991) Comput. Methods Appl. Mech. Eng. , vol.85 , pp. 273-310
    • Simo, J.C.1    Taylor, R.L.2
  • 20
    • 0028445932 scopus 로고
    • Aspects of the Formulation and Finite Element Implementation of Large Strain Isotropic Elasticity
    • Miehe, C., 1994, "Aspects of the Formulation and Finite Element Implementation of Large Strain Isotropic Elasticity," Int. J. Numer. Methods Eng., 37, pp. 1981-2004.
    • (1994) Int. J. Numer. Methods Eng. , vol.37 , pp. 1981-2004
    • Miehe, C.1
  • 21
    • 0030706637 scopus 로고    scopus 로고
    • On the Finite Element Implementation of Rubber-Like Materials at Finite Strains
    • Kaliske, M., and Rothert, H., 1997, "On the Finite Element Implementation of Rubber-Like Materials at Finite Strains," Eng. Comput., 14, pp. 216-232.
    • (1997) Eng. Comput. , vol.14 , pp. 216-232
    • Kaliske, M.1    Rothert, H.2
  • 22
    • 33749933249 scopus 로고
    • Evaluation of 3D FE-Formulations for Incompressible Hyperplastic Materials at Finite Strains
    • C. Hirsch, O. C. Zienkiewicz, and E. Oñate, eds., Sept. 7-11, Brussels, Belgium, Elsevier Science, Ltd.
    • Liu, C. H., Hofstetter, G., Mang, H. A., 1992, "Evaluation of 3D FE-Formulations for Incompressible Hyperplastic Materials at Finite Strains," Proceedings of the First European Conference on Numerical Methods in Engineering C. Hirsch, O. C. Zienkiewicz, and E. Oñate, eds., Sept. 7-11, Brussels, Belgium, Elsevier Science, Ltd., pp. 757-764.
    • (1992) Proceedings of the First European Conference on Numerical Methods in Engineering , pp. 757-764
    • Liu, C.H.1    Hofstetter, G.2    Mang, H.A.3
  • 23
    • 0028416581 scopus 로고
    • 3D Finite Element Analysis of Rubber-Like Materials at Finite Strains
    • Liu, C. H., Hofstetter, G., and Mang, H. A., 1994, "3D Finite Element Analysis of Rubber-Like Materials at Finite Strains," Eng. Comput., 11, pp. 111-128.
    • (1994) Eng. Comput. , vol.11 , pp. 111-128
    • Liu, C.H.1    Hofstetter, G.2    Mang, H.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.