Hypo-Elasticity Model Based upon the Logarithmic Stress Rate

作者: H. Xiao , O. T. Bruhns , A. Meyers

DOI: 10.1023/A:1007356925912

关键词:

摘要: … By virtue of the proposed model, we show that the simplest … of the proposed model, ie the hypo-elasticity model of grade … we introduce the log-spin log and the logarithmic stress rate. …

参考文章(45)
Barbara A. Cotter, R. S. Rivlin, Tensors associated with time-dependent stress Quarterly of Applied Mathematics. ,vol. 13, pp. 1036- 1041 ,(1955) , 10.1007/978-1-4612-2416-7_63
Donald E. Carlson, Anne Hoger, The derivative of a tensor-valued function of a tensor Quarterly of Applied Mathematics. ,vol. 44, pp. 409- 423 ,(1986) , 10.1090/QAM/860894
C. Truesdell, R. Toupin, The Classical Field Theories Handbuch der Physik. ,vol. 2, pp. 226- 858 ,(1960) , 10.1007/978-3-642-45943-6_2
Rodney Hill, Aspects of Invariance in Solid Mechanics Advances in Applied Mechanics. ,vol. 18, pp. 1- 75 ,(1979) , 10.1016/S0065-2156(08)70264-3
J. K. Dienes, On the analysis of rotation and stress rate in deforming bodies Acta Mechanica. ,vol. 32, pp. 217- 232 ,(1979) , 10.1007/BF01379008
C. Truesdell, C.C. Wang, Introduction to Rational Elasticity ,(1973)
J. Stickforth, K. Wegener, A note on Dienes' and Aifantis' co-rotational derivatives Acta Mechanica. ,vol. 74, pp. 227- 234 ,(1988) , 10.1007/BF01194356
Tatsuo Tokuoka, Thermo-hypo-elasticity and derived fracture and yield conditions Archive for Rational Mechanics and Analysis. ,vol. 46, pp. 114- 130 ,(1972) , 10.1007/BF00250687
Z. Xia, F. Ellyin, A stress rate measure for finite elastic plastic deformations Acta Mechanica. ,vol. 98, pp. 1- 14 ,(1993) , 10.1007/BF01174289
J. Edmund Fitzgerald, A tensorial Hencky measure of strain and strain rate for finite deformations Journal of Applied Physics. ,vol. 51, pp. 5111- 5115 ,(1980) , 10.1063/1.327428