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广义塑性力学和地力学的一些模型

O. C. 辛克维奇

O. C. 辛克维奇. 广义塑性力学和地力学的一些模型[J]. 应用数学和力学, 1982, 3(3): 267-280.
引用本文: O. C. 辛克维奇. 广义塑性力学和地力学的一些模型[J]. 应用数学和力学, 1982, 3(3): 267-280.
O. C. Zienkiewicz. Generalized Plasticity and Some Models for Geomechanics[J]. Applied Mathematics and Mechanics, 1982, 3(3): 267-280.
Citation: O. C. Zienkiewicz. Generalized Plasticity and Some Models for Geomechanics[J]. Applied Mathematics and Mechanics, 1982, 3(3): 267-280.

广义塑性力学和地力学的一些模型

Generalized Plasticity and Some Models for Geomechanics

  • 摘要: 在本文中,我们(a).介绍了一种非常一般性的塑性定义;(b).指出土壤类材料在单调加载和循环加载中可以采用的几种和时间无关的模型.每一种模型的详细说明散见其它文献,但我们相信,新的体制提供了条件,使各种特性的模型更易理解,而且是更一般的解释.
  • [1] Bazant.Z;Endochronic in elasticity and incremental plasticity.Int.J.Sol.Struct.,14. pp.691-714. (1978).
    [2] Carter.J.P.,Booker.J.R.and Worth.C.P.,A critical state soil for cyclic loading.in Soils under Cyclic and Transient Loading,ed.Panade,G.N.and Zienkiewicz.O.C.,John Wiley.(to be published).
    [3] Dafalias.Y.F.and Popov.E.P.,A model of non-linearly hardening materials for complex loadings,Acta Mechanica.21,pp.173-192,(1975).
    [4] Dafalias.Y.F.,On cyclic and anisotropic plasticity:i)A general model including material behaviour under stress reversals.ii)Anisotropic hardening for initially orthotropic materials.Ph.D.Thesis,University of California,Berkeley.U.S.A.,(1975).
    [5] Dafalias.Y.F.and Herrman,L.R.,A bounding surface soil plasticity model.Int.Symp.on Soils under Cyclic and Transient Loading,Swansea,U.K.(1980).
    [6] Drucker.D.C.,Gibson.R.E.and Henkel,D.J.,Soil mechanics and work hardening theories of plasticity.Trans.A.S.C.E.,122:388:346. (1957).
    [7] Krieg.R.D.,A practical two-surface plasticity theorg,J.Appl.Mech.,E42. pp.641-646. (1975).
    [8] Lade.P.V.and Duncan,J.M.,Elastoplastic stress-strain theorg for cohesionless soil,J.Geotech.Eng.Div.,Proc.A.S.C.E.,101,GT10. pp.1037-1053. (1975).
    [9] Mroz.Z.,On the description of anisotropic work-hardening,J.Mech.Phys.Solids.15,pp.163-175. (1967).
    [10] Mroz.Z.,Norris,V.A.and Zienkiewicz,O.C.,An anisotropic hardening model for soils and its application to cyclic loading.Int.J.Num.Anal.Meth.Geom.,2,pp.203-221,(1978).
    [11] Mroz.Z.,Norris,V.A.and Zienkiewicz,O.C.,Application of an anisotropic hardening model in the analysis of elastoplastic deformation of soils,Geotechnique.29,pp.1-34. (1979).
    [12] Mroz,Z..Norris,V.A.and Zienkiewicz,O.C.,Simulation of behaviour of soils under cyclic loading by using a more general hardening rule,Research report,Department of Civil Engineering,University of Wales,Swansea,U.K.,(1980).
    [13] Mroz.Z.,Norris,V.A.and Zienkiewicz,O.C.,An anisotropic critical state model for soils subjected to cyclic loading.(to be published in Geotechnique).
    [14] Nova.R.and Wood.D.M.,A constitutive model for sand in triaxial compression.Int.J.Num.Anal.Meth.Geom.,3. pp.255-278,(1979).
    [15] Pietruszczak,St.and Mroz,Z.,Description of mechanical behaviour of anisotropoically consolidated clays,Proc.Euromech Coll.,‘Anisotropy in Mechanics'.Grenbole.Noordhoff Int.Publ,(1979).
    [16] Roscoe.K.H.and Burland.J.B.,On the generalised stress-strain behaviour of ‘wet'clay.in the ‘Engineering Plasticity',ed.Heyman,J.and Leckie,F.A.,Cambridge Univ.Press,pp.535-609,(1968).
    [17] Schofield,A.and Worth,P.,Critical State Soil Mechanics.Mcgraw-Hill,London,1968.
    [18] Wilde,P.,Two invariant depending models of granular media,Arch.Mech.steo.,29,pp.799-809. (1977).
    [19] Zienkiewicz.O.C.,Valliappan.S.and King,I.P.,Elastoplastic solutions of engineering problems,initial stress,finite element approach,Int.J.Num.Meth.Eng.,pp.75-100,(1969).
    [20] Zienkiewicz.O.C.,The Finite Element Method,third edition,(1977).
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出版历程
  • 收稿日期:  1981-11-20
  • 刊出日期:  1982-06-15

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