横观各向同性体滑移线场理论

阮怀宁; 王维襄

横观各向同性体滑移线场理论

阮怀宁¹,
王维襄²

1.
河海大学南京;
2.
中国地质大学北京

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出版历程
- 收稿日期: 1992-06-23
- 刊出日期: 1994-04-15

Slip-Line Field Theory of Transversely Isotrropic Body

Ruan Huai-ning¹,
Wang Wei-xiang²

1.
Hehai University, Nanjing;
2.
China University of Geosiences, Beijing

摘要

摘要: 本文系统推演了横观各向同性体滑移线场理论.为解决地球动力学与岩土力学问题,考虑到成层地质体横观各向同性与非均匀温度场作用,本文选择了Gol'denblat-Kopnov破坏准则.并使物性参数随温度变化,建立了复杂介质的强度准则.通过关联流动法则,导出了塑性流动基本方程.应用特征线理论,导出了滑移线斜率公式、应力沿滑移线微分公式和速度沿滑移线微分公式.应用本文理论计算了基础承压问题.本文理论将许多着名的经典理论如Mises理论,Hill理论、Coulomb理论概括为特例.这一综合理论可应用于岩土工程、地质构造、石油、采矿等许多领域.
- 滑移线场 /
- 横观各向同性 /
- 非均匀温度场 /
- 破坏准则 /
- 极限平衡
Abstract: A slip-line field theory of transversely isotropic body is proposed in the presentpaper in order to deal with problems in geology and geotechniques.The Goldenblat-Kopnov failure criterion is employed.The parameters in it are treated as functions of tempperature It is applicable to transverse isotropic media in nonuniform temperature field.The basic equtions of plastic deformation are developed while the associated rules of flow are derived.By means of characteristic line theory,slip-line slope formulas and laws of variation of stress and velocity along slip lines are obtained,The indentation on semi-infinite media is calculated.The theory developed in this paper may be simplified into many classical theories such as Mises,Hill,and Coulomb ones,This complicated theory may be applied to geotechniques,geological structures,petroleum industry,mining engineering,etc.
- slip-line field /
- transversely isotropic /
- non-uniform temperaturefield /
- failure criterion /
- limit equilibrium

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参考文献(6)

[1]	Hafner,W.,Stress distributions and faults,Geol.Soc.Am.Bull.,62(1951),373-398.
[2]	Ode,H.,Faulting as a velocity discontinuity in plastic deformation,Geol.Soc.Am.,Memoir 79.Rock Deformation(1960).293-321.
[3]	B.B.索科洛夫斯基.《松散介质静力学》,徐志英译,地质出版社(1964).
[4]	阮怀宁,岩土工程中各向异性强度理论研究.河海科技进展,(3)(1992).
[5]	Saada,A.S.,Strain-stress relations and failure of anisotropic clays,J.Soil Mech.Found.Div.,ASCE,99.SM12(1973).
[6]	R.希尔,《塑性数学理沦》.王江等译,科学出版社,北京(1966).