Unconditionally stable staggered solution procedure for soil-pore fluid interaction problems
作者： OC Zienkiewicz , DK Paul , AHC Chan , None
关键词:
摘要: This paper presents a simple procedure for modifying the dynamic coupled soil-pore fluid equations in manner which allows stable and efficient staggered solution to be used. The method is simpler than an alternative suggested by Park15 has direct physical interpretation. stabilized numerical time domain analysis of occurring earthquake consolidation problems. Numerical examples one two dimensional saturated poroelastic media demonstrate procedure.
utas.edu.au参考文章(11)
John Denholm Lambert, Computational Methods in Ordinary Differential Equations ,(1973)
K. C. Park, C. A. Felippa, Partitioned Transient Analysis Procedures for Coupled-Field Problems: Accuracy Analysis Journal of Applied Mechanics. ,vol. 47, pp. 919- 926 ,(1980) , 10.1115/1.3153814
O. C. Zienkiewicz, W. L. Wood, N. W. Hine, R. L. Taylor, A unified set of single step algorithms. Part 1: General formulation and applications International Journal for Numerical Methods in Engineering. ,vol. 20, pp. 1529- 1552 ,(1984) , 10.1002/NME.1620200814
O. C. Zienkiewicz, T. Shiomi, Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 8, pp. 71- 96 ,(1984) , 10.1002/NAG.1610080106
O. C. Zienkiewicz, C. T. Chang, P. Bettess, DRAINED, UNDRAINED, CONSOLIDATING AND DYNAMIC BEHAVIOUR ASSUMPTIONS IN SOILS Geotechnique. ,vol. 30, pp. 385- 395 ,(1980) , 10.1680/GEOT.1980.30.4.385
Maurice A. Biot, General Theory of Three‐Dimensional Consolidation Journal of Applied Physics. ,vol. 12, pp. 155- 164 ,(1941) , 10.1063/1.1712886
C.A. Felippa, K.C. Park, Staggered transient analysis procedures for coupled mechanical systems: Formulation Computer Methods in Applied Mechanics and Engineering. ,vol. 24, pp. 61- 111 ,(1980) , 10.1016/0045-7825(80)90040-7
Maurice A Biot, MECHANICS OF DEFORMATION AND ACOUSTIC PROPAGATION IN POROUS MEDIA Journal of Applied Physics. ,vol. 33, pp. 1482- 1498 ,(1962) , 10.1063/1.1728759
O. C. Zienkiewicz, C. T. Chang, E. Hinton, Non-linear seismic response and liquefaction International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 2, pp. 381- 404 ,(1978) , 10.1002/NAG.1610020407
Ogierd Cecil Zienkiewicz, The finite element method London: McGraw-Hill. ,(1989)