吴杰, 上官文斌. 采用粘弹性分数导数模型的橡胶隔振器动态特性的建模及应用[J]. 工程力学, 2008, 25(1): 161-166. Wu Jie, Shangguan Wenbin. Modeling and applications of dynamic characteristics for rubber isolators using viscoelastic fractional derivative model [J]. Engineering Mechanics, 2008, 25(1): 161-166. (in Chinese)
[2]
彭彪, 朱石坚. 有限长橡胶筒径向刚度精确解[J]. 工程力学, 2009, 26(4): 202-206. Peng Biao, Zhu Shijian. Exact radial stiffness of rubber bush mountings with finite lengths [J]. Engineering Mechanics, 2009, 26(4): 202-206. (in Chinese)
[3]
Brown R. Physical testing of rubber [M]. 4th ed. New York: Springer, 2006: 115-118.
[4]
龚科家, 危银涛, 叶进雄. 填充橡胶超弹性本构参数试验与应用[J]. 工程力学, 2009, 26(6): 193-198. Gong Kejia, Wei Yintao, Ye Jinxiong. Constitutive parametric experiment of tire rubber hyperelastic laws with application [J]. Engineering Mechanics, 2009, 26(6): 193-198. (in Chinese)
[5]
Boyce M C, Arruda E M. Constitutive models of rubber elasticity: A review [J]. Rubber Chemistry and Technology, 2000, 73(3): 504-523.
[6]
Treloar L R G. Stress-strain data for vulcanised rubber under various types of deformation [J]. Journal of the Chemical Society, 1944, 40: 59-70.
[7]
Seibert D J, Schöche N. Direct comparison of some recent rubber elasticity models [J]. Rubber Chemistry and Technology, 2000, 73: 366-384.
[8]
Marckmann G, Verron E. Comparison of hyperelastic models for rubber-like materials [J]. Rubber Chemistry and Technology, 2006, 79(5): 835-858.
[9]
Steinmann P, Hossain M, Possart G. Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar’s data [J]. Archive of Applied Mechanics, 2012, 82(9): 1183-1217.
[10]
Ogden R W. Non-linear elastic deformations [M]. New York: Dover, 1997: 221.
[11]
Mooney M. A theory of large elastic deformation [J]. Journal of Applied Physics, 1940, 11(9): 582-592.
[12]
Rivlin R S. Large elastic deformations of isotropic materials. IV. Further developments of the general theory [J]. Philosophical Transactions of the Royal Society of London, Series A, 1948, 241: 379-397.
[13]
Yeoh O H. Some forms of the strain energy for rubber [J]. Rubber Chemistry and Technology, 1993, 66(5): 754-771.
[14]
Gent A N. A new constitutive relation for rubber [J]. Rubber Chemistry and Technology, 1996, 69(1): 59-61.
[15]
Gao Y C. Large deformation field near a crack tip in rubber-like material [J]. Theoretical and Applied Fracture Mechanics, 1997, 26: 155-162.
[16]
Ogden R W. Large deformation isotropic elasticity-on the correlation of theory and experiment for incompressible rubber like solids [J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1972, 326: 565-584.
[17]
Valanis K S, Landel R F. The strain-energy function of a hyperelastic material in terms of the extension ratios [J]. Journal of Applied Physics, 1967, 38(7): 2997-3002.
[18]
Arruda E M, Boyce M C. A three-dimensional model for the large stretch behavior of rubber elastic materials [J]. Journal of the Mechanics and Physics of Solids, 1993, 41(2): 389-412.