CHARACTERISTIC ANALYSIS FOR STRESS WAVE PROPAGATION IN TRANSVERSELY ISOTROPIC FLUID-SATURATED POROUS MEDIA

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (6): 656-663.

CHARACTERISTIC ANALYSIS FOR STRESS WAVE PROPAGATION IN TRANSVERSELY ISOTROPIC FLUID-SATURATED POROUS MEDIA

刘颖^1,2, 刘凯欣¹

1. Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China;
2. Department of Mechanics Engineering, Shandong University of Technique, Zibo, Shandong 255000, P. R. China

收稿日期:2002-12-03 修回日期:2003-11-08 出版日期:2004-06-18 发布日期:2004-06-18
基金资助:
the National Natural Science Foundation of China(10232040,10302002);the National Natural Science Foundation of China for Outstanding Young Scientists(10025212)

CHARACTERISTIC ANALYSIS FOR STRESS WAVE PROPAGATION IN TRANSVERSELY ISOTROPIC FLUID-SATURATED POROUS MEDIA

LIU Ying^1,2, LIU Kai-xin¹

1. Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China;
2. Department of Mechanics Engineering, Shandong University of Technique, Zibo, Shandong 255000, P. R. China

Received:2002-12-03 Revised:2003-11-08 Online:2004-06-18 Published:2004-06-18
Supported by:
the National Natural Science Foundation of China(10232040,10302002);the National Natural Science Foundation of China for Outstanding Young Scientists(10025212)

摘要/Abstract

摘要： According to generalized characteristic theory, a characteristic analysis for stress wave propagation in transversely isotropic fluid-saturated porous media was performed. The characteristic differential equations and compatibility relations along bicharacteristics were deduced and the analytical expressions for wave surfaces were obtained. The characteristic and shapes of the velocity surfaces and wave surfaces in the transversely isotropic fluid-saturated porous media were discussed in detail. The results also show that the characteristic equations for stress waves in pure solids are particular cases of the characteristic equations for fluid-saturated porous media.

Abstract: According to generalized characteristic theory, a characteristic analysis for stress wave propagation in transversely isotropic fluid-saturated porous media was performed. The characteristic differential equations and compatibility relations along bicharacteristics were deduced and the analytical expressions for wave surfaces were obtained. The characteristic and shapes of the velocity surfaces and wave surfaces in the transversely isotropic fluid-saturated porous media were discussed in detail. The results also show that the characteristic equations for stress waves in pure solids are particular cases of the characteristic equations for fluid-saturated porous media.

中图分类号:

O313

刘颖;刘凯欣. CHARACTERISTIC ANALYSIS FOR STRESS WAVE PROPAGATION IN TRANSVERSELY ISOTROPIC FLUID-SATURATED POROUS MEDIA[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(6): 656-663.

LIU Ying;LIU Kai-xin. CHARACTERISTIC ANALYSIS FOR STRESS WAVE PROPAGATION IN TRANSVERSELY ISOTROPIC FLUID-SATURATED POROUS MEDIA[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(6): 656-663.

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CHARACTERISTIC ANALYSIS FOR STRESS WAVE PROPAGATION IN TRANSVERSELY ISOTROPIC FLUID-SATURATED POROUS MEDIA

CHARACTERISTIC ANALYSIS FOR STRESS WAVE PROPAGATION IN TRANSVERSELY ISOTROPIC FLUID-SATURATED POROUS MEDIA

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