Onset Condition of Strain Localization in Matrix of Saturated Porous Media

ZHAO Ji-sheng; TAO Xia-xin; SHI Li-jing; OU Jin-ping

Volume 26 Issue 11

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(11): 1337-1344

ZHAO Ji-sheng, TAO Xia-xin, SHI Li-jing, OU Jin-ping. Onset Condition of Strain Localization in Matrix of Saturated Porous Media[J]. Applied Mathematics and Mechanics, 2005, 26(11): 1337-1344.

Citation:

ZHAO Ji-sheng, TAO Xia-xin, SHI Li-jing, OU Jin-ping. Onset Condition of Strain Localization in Matrix of Saturated Porous Media[J]. Applied Mathematics and Mechanics, 2005, 26(11): 1337-1344.

Citation:

ZHAO Ji-sheng, TAO Xia-xin, SHI Li-jing, OU Jin-ping. Onset Condition of Strain Localization in Matrix of Saturated Porous Media[J]. Applied Mathematics and Mechanics, 2005, 26(11): 1337-1344.

PDF( 328 KB)

Onset Condition of Strain Localization in Matrix of Saturated Porous Media

1.
Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, P. R. China;

Received Date: 2003-10-30
Rev Recd Date: 2005-10-19
Publish Date: 2005-11-15

Abstract

Abstract

Based on governing equations of saturated porous media and Liapunov's stability here,onset conditions matrix of porous media used by solid stress and Terzaghi's effective stress constitutive description under seepage flow state,are presented,which have different forms with different representation of the solid phase,matrix or skeleton,constitutive model of porous media.The main difference relates with how to describe the interaction between solid phase and liquid phase in constitutive model.The derived onset condition of strain localization under Terzaghi's effective stress description can be used to interpret different failure types,piping effect,landslides and mudflows,by means of the type and the magnitude ratio of relative movement between solid phase and liquid phase.Examples here illuminate the onset condition of how to work.
- porous medium,
- solid stress,
- Terzaghi’s effective stress,
- constitutive model of matrix,
- onset condition of strain localization

FullText(HTML)

References(6)

References

[1]	Zhang H W,Schrefer B A.Uniqueness and localization analysis of elastic-plastic saturated porous media[J].International Journal for Numerical and Analytical Methods in Geomechanics,2001,25(1):29—48. doi: 10.1002/1096-9853(200101)25:1<29::AID-NAG116>3.0.CO;2-S
[2]	Rouche N,Habets P,Laloy M.Stability Theory by Liapunov's Direct Method[M].New York:Springer,1977,58—72.
[3]	Bear J.Dynamics of Fluids in Porous Media[M].New York:American Elsevier Publishing Company, INC, 1972,54—61.
[4]	赵纪生.钢纤维混凝土在灌注桩基工程中的应用[D].博士论文.哈尔滨：中国地震局工程力学研究所，2001，103—113.
[5]	陈少林.两相介质中近场波动的数值模拟[D].博士论文.哈尔滨：中国地震局工程力学研究所，2002，35—44.
[6]	James K M.Fundamentals of Soil Behavior[M].New York:John Wiley and Sons, INC, 1976,50—57.

Relative Articles

[1]	LI Shuguang, QU Kai. Homogenization Modeling of Single-Phase Gas Local Flow in Porous Media[J]. Applied Mathematics and Mechanics, 2024, 45(2): 175-183. doi: 10.21656/1000-0887.440246
[2]	ZHANG Jie, ZHANG Sai, GAO Weiye, HU Shiwang, WANG Zhenyi. A Fractal Model for Thermal Dispersion Coefficients of Porous Media[J]. Applied Mathematics and Mechanics, 2022, 43(5): 553-560. doi: 10.21656/1000-0887.420314
[3]	ZHANG Heng, YAN Biao, YIN Hong-ling, XU Yong-cheng, PENG Xiong-qi, PENG Fu-jun. A Constitutive Model for Polyether Ether Ketone (PEEK) in Various Mechanical States[J]. Applied Mathematics and Mechanics, 2017, 38(7): 755-761. doi: 10.21656/1000-0887.370283
[4]	WANG Ke-yong, WANG Da-zhong, LI Pei-chao. Two Decoupling Methods for the Heat Transfer Model of a Plate Channel Filled With a Porous Medium[J]. Applied Mathematics and Mechanics, 2015, 36(5): 494-504. doi: 10.3879/j.issn.1000-0887.2015.05.005
[5]	DONG Tong, ZHENG Ying-ren, LIU Yuan-xue, Abi Erdi. Research Progress of the Soil Constitutive Relation Considering Principal Stress Axes Rotation[J]. Applied Mathematics and Mechanics, 2013, 34(4): 327-335. doi: 10.3879/j.issn.1000-0887.2013.04.001
[6]	M.Nawaz, T.Hayat, A.Alsaedi. Dufour and Soret Effects on MHD Flow of Viscous Fluid Between Radially Stretching Sheets in a Porous Medium[J]. Applied Mathematics and Mechanics, 2012, 33(11): 1304-1319. doi: 10.3879/j.issn.1000-0887.2012.11.006
[7]	Mohammed Q Al-Odat, Abdalmajeed Al-Ghamdi. Numerical Investigation of the Dufour and Soret Effects on Unsteady MHD Natural Convection Flow Past a Vertical Plate Embedded in a Non-Darcy Porous Medium[J]. Applied Mathematics and Mechanics, 2012, 33(2): 195-209. doi: 10.3879/j.issn.1000-0887.2012.02.005
[8]	J. C. Umavathi, I. C. Liu, J. Prathap Kumar, D. Shaik Meera. Unsteady Flow and Heat Transfer of Porous Media Sandwiched Between Viscous Fluids[J]. Applied Mathematics and Mechanics, 2010, 31(12): 1415-1434. doi: 10.3879/j.issn.1000-0887.2010.12.003
[9]	YANG Xiao, LIU Xue-mei. Temperature Profiles of Local Thermal Nonequilibrium for Thermal Developing Forced Convection in a Porous Medium Parallel Plate Channel[J]. Applied Mathematics and Mechanics, 2006, 27(8): 978-986.
[10]	LIU Xiao-li, WANG Si-jing, WANG En-zhi, XUE Qiang. Double-Medium Constitutive Model of Geological Material in Uniaxial Tension and Compression[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1193-1201.
[11]	SHEN Xin-pu, SHEN Guo-xiao, CHEN Li-xin, YANG Lu. Investigation on Gradient-Dependent Nonlocal Constitutive Models for Elasto-Plasticity Coupled With Damage[J]. Applied Mathematics and Mechanics, 2005, 26(2): 201-214.
[12]	CHEN Shu-yu, SHEN Cheng-kang, JIN Wu-gen. Study on Dynamic Constitutive Relations for Concrete With Finite Deformation[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1257-1263.
[13]	SHEN Xin-pu, SHEN Guo-xiao, CHEN Li-xin. Investigation on Elasto-Plastic Constitutive Model Coupled With Damage for Localization Phenomena[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1249-1256.
[14]	XU You-sheng, LIU Ci-qun, YU Hui-dan. New Studying of Lattice Boltzmann Method for Two-Phase Driven in Porous Media[J]. Applied Mathematics and Mechanics, 2002, 23(4): 353-358.
[15]	SHI Hong-yan, XIE Ding-yi. A Stress Vector-Based Constitutive Model for Cohesionless Soil(Ⅰ)-Theory[J]. Applied Mathematics and Mechanics, 2002, 23(3): 299-308.
[16]	SHI Hong-yan, XIE Ding-yi, BAI Lin. A Stress Vector-based Constitutive Model for Cohesionless Soil (Ⅱ)-Application[J]. Applied Mathematics and Mechanics, 2002, 23(7): 749-758.
[17]	YAN Bo, ZHANG Ru-qing. Penalty Finite Element Method for Nonlinear Dynamic Response of Viscous Fluid-Saturated Biphasic Porous Media[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1247-1254.
[18]	Yan Bo, Liu Zhanfang, Zhang Xiangwei. Finite Element Analysis of Wave Propagation in Fluid-Saturated Porous Media[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1235-1244.
[19]	Chen Mian, Chen Zhida. Effective Stress Laws for Multi-Porosity Media[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1121-1127.
[20]	Yang Haitian, Wu Ruifeng, Zhang Qun. Identification of Qusi-Static Displacement for Constitutive Models of Viscoelasticity[J]. Applied Mathematics and Mechanics, 1998, 19(3): 217-221.