References
- Rivlin, R. S., 1948, 'Large Elastic Deformations of Isotropic Materials IV, Further Develpments of the General Theory,' Phil. Trans. A, Vol. 241, pp. 379-397 https://doi.org/10.1098/rsta.1948.0024
- Ogden, R. W., 1972, 'Large Deformation Isotropic Elasticity on the Correlation of Theory and Experiment for Incompressible Rubber-Like Solids,' Proc. R. Soc. Lond, A326, pp. 565-584
- Kakavas, P. A., 2000, 'A New Development of the Strain Energy Function for Hyperelastic Materials Using a Logarithmic Strain Approach,' Journal of Applied Polymer Science, Vol. 77, pp. 660-672 https://doi.org/10.1002/(SICI)1097-4628(20000718)77:3<660::AID-APP21>3.0.CO;2-A
- Bonet, J., Burton, A. J., 1998, 'A Simple Orthotropic, Transversely Isotropic Hyperelastic Constitutive Equation for Large Strain Computations,' Comput. Methods Appl. Mech. Engrg., Vol. 162, pp. 151-164 https://doi.org/10.1016/S0045-7825(97)00339-3
- Herrmann, L. R., 1965, 'Elasticity Equations for Incompressible and Nearly Incompressible Materials by a Variational Theorem,' AIAA, Jnl 3, pp. 1896-1900 https://doi.org/10.2514/3.3277
- Oden, J. T. and Key, J. E., 1970, 'Numerical Analysis of Finite Axisymmetric Deformations of Incompressible Elastic Solids of Revolution,' Int. J. Solids Struct, Vol. 6, pp. 497-518 https://doi.org/10.1016/0020-7683(70)90027-2
- Crouzeix, M. and Raviart, P. A., 1973, 'Conforming and Non-Conforming Finite Element Methods for Solving the Stationary Stokes Equations,' I. R.A.I.R.O., Vol 7, R-3, pp. 33-76 https://doi.org/10.1051/m2an/197307R300331
- Sussman, T. and Bathe, K. J., 1987, 'A Finite Element Formulation for Nonlinear Incompressible Elastic and Inelastic Analysis,' Comput. Struct., Vol. 26, pp. 357-409 https://doi.org/10.1016/0045-7949(87)90265-3
- Shin, S., J. Lee, T. S. and Oh, S. I., 1998, 'Three-Dimensional Finite Element Analysis of Rubber Pad Deformation - PartⅠ: Development of Implicit and Explicit Methods -,' Transactions of the KSME, A, Vol. 22, No. 1, pp. 111-120
- Shin, S. J., Lee, T. S. and Oh, S. I., 1998, 'Three-Dimensional Finite Element Analysis of Rubber Pad Deformation - Part 2 : Applications -,' Transactions of the KSME, A, Vol. 22, No. 1, pp. 121-131
- Joun, M. S., Moon, H. K. and Kim, S. J., 1997, 'A Simple Finite Element Method to Determination of Deformed Shape and Load-Displacement Curve of Elastomers,' Transactions of the KSME, A, Vol 21, No. 2, pp. 217-222
- Yang, K. J., Kang, K. J. and Park, S. S., 2000, 'Crack Length Estimation for Large Deformable Non-Linear Elastic Material,' Transactions of the KSME, A, Vol. 24, No. 1, pp. 103-109
- Bathe, K. J., 1996, Finite Eelement Procedures, Prentice Hall International, Upper saddle river, New Jersey
- ABAQUS THEORY MANUAL, '4.6.1 Hyperelastic Material Behavior'
- James, A. G., Green, A. and Simpson, G. M., 1975, 'Strain Energy Functions of Rubber I,' J. Appl. Ploymer Sci., Vol. 19, pp. 2033-2058 https://doi.org/10.1002/app.1975.070190723
- Penn, R. W., 1970, 'Volume Changes Accompanying the Extension of Rubber,' Trans. Soc. Rheology, Vol. 14, pp. 509-517 https://doi.org/10.1122/1.549176
- Ogden, R. W., 1976, 'Volume Changes Associated with the Deformation of Rubber-Like Solids,' J. Mech. Phys. Solids, Vol. 24, pp. 323-338 https://doi.org/10.1016/0022-5096(76)90007-7
- Treloar, L. R. G., 1978, 'Dilation of Rubber on Extension,' Polymer, Vol. 19, pp. 1414-1420 https://doi.org/10.1016/0032-3861(78)90093-9
- Press, W.H., Flannery, B.P., Teukolsky, S.A. and Vetterling W.T., 1986, Numerical recipes, Cambridge University Press, p. 523
- Treloar, L. R. G., 1994, 'Stress-Strain Data for Vulcanized Rubber under Various Types of Deformation,' Trans. Faraday Soc., Vol. 40, pp. 59-70 https://doi.org/10.1039/tf9444000059
- Hughes, T. J. R., Taylor, R. L. and Kanokunkulchai, W., 1977, 'A Finite Element Method for Large Displacement Contact and Impact Problems,' in Formulations and Computational Algorithms in Finite Element Analysis, (Bathe, K. J. et al., Eds.), M.I.T. Press
- Okamoto, N. and Nakazawa, M., 1979, 'Finite Element Incremental Contact Analysis with Various Frictional Conditions,' Int. J. Numer. Methods Eng., Vol. 14, pp. 337-357 https://doi.org/10.1002/nme.1620140304
- Kalker, J. J., Allaert, H. J. C. and de Mul, J., 1981, 'The Numerical Calculation of Contact Problems in the Theory of Elasticity,' in Nonlinear Finite Element Analysis in Structural Mechanics (W. Wunderlich et al., Eds.), Springer-Verlag
- Lee, C. Y., 1996, 'A Solution of Variational Inequalties and a Priori Error Estimations in Contact Problem with Finite Element Method,' Transactions of the KSME, A, Vol. 20, No. 9, pp. 2887-2893
- Bathe, K. J. and Chaudhary, A., 1985, 'A Solution Method for Planar and Axisymmetric Contact Problems,' Int. J. Num. Meth. Engng., Vol. 21, pp. 65-88 https://doi.org/10.1002/nme.1620210107
- Kim, J. J. and Kim, H. Y., 1993, 'Analysis of Large Deformation of Bush Type Engine Mount using Finite Element Method,' Journal of the Korean Institute of Metals and Materials, Vol. 31, No. 10, pp. 1324-1330