A creep constitutive model for salt rock based on fractional derivatives
作者： H.W. Zhou , C.P. Wang , B.B. Han , Z.Q. Duan
DOI: 10.1016/J.IJRMMS.2010.11.004
关键词:
摘要: … creep constitutive model presented in this paper can be used to describe nonlinear creep strain of salt rock… The fractional derivative order is a key parameter governing the rate of creep …
elsevier.com
sci-hub.se 参考文章(23)
Zdenêk P. Bažant, XI Yunping, Drying creep of concrete: constitutive model and new experiments separating its mechanisms Materials and Structures. ,vol. 27, pp. 3- 14 ,(1994) , 10.1007/BF02472815
A. Lion, C. Kardelky, The Payne effect in finite viscoelasticity: constitutive modelling based on fractional derivatives and intrinsic time scales International Journal of Plasticity. ,vol. 20, pp. 1313- 1345 ,(2004) , 10.1016/J.IJPLAS.2003.07.001
Samuel w.J. Welch, Ronald A.L. Rorrer, Ronald G. Duren, Jr., Application of Time-Based Fractional Calculus Methods to Viscoelastic Creep and Stress Relaxation of Materials Mechanics of Time-dependent Materials. ,vol. 3, pp. 279- 303 ,(1999) , 10.1023/A:1009834317545
T. A. A. B., A. Erdelyi, Tables of Integral Transforms. I The Mathematical Gazette. ,vol. 39, pp. 337- ,(1955) , 10.2307/3608613
Hari M Srivastava, Anatoly A Kilbas, Juan J Trujillo, Theory and Applications of Fractional Differential Equations ,(2006)
Chunhe Yang, J.J.K. Daemen, Jian-Hua Yin, Experimental investigation of creep behavior of salt rock International Journal of Rock Mechanics and Mining Sciences. ,vol. 36, pp. 233- 242 ,(1999) , 10.1016/S0148-9062(98)00187-9
Zhengmeng Hou, Mechanical and hydraulic behavior of rock salt in the excavation disturbed zone around underground facilities International Journal of Rock Mechanics and Mining Sciences. ,vol. 40, pp. 725- 738 ,(2003) , 10.1016/S1365-1609(03)00064-9
Ronald L. Bagley, Peter J. Torvik, Fractional calculus in the transient analysis of viscoelastically damped structures AIAA Journal. ,vol. 23, pp. 918- 925 ,(1985) , 10.2514/3.9007
V. Kiryakova, B. Al-Saqabi, Explicit solutions to hyper-Bessel integral equations of second kind Computers & Mathematics With Applications. ,vol. 37, pp. 75- 86 ,(1999) , 10.1016/S0898-1221(98)00243-0
Jishan Jin, N.D. Cristescu, An elastic/viscoplastic model for transient creep of rock salt International Journal of Plasticity. ,vol. 14, pp. 85- 107 ,(1998) , 10.1016/S0749-6419(97)00042-9