Volume 22 Issue 11
Nov.  2007
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WANG Qing-wu, YANG Xiao-guang, SHI Duo-qi. Research on consistent tangent modulus for unified viscoplastic constitutive equations[J]. Journal of Aerospace Power, 2007, 22(11): 1898-1902.
Citation: WANG Qing-wu, YANG Xiao-guang, SHI Duo-qi. Research on consistent tangent modulus for unified viscoplastic constitutive equations[J]. Journal of Aerospace Power, 2007, 22(11): 1898-1902.

Research on consistent tangent modulus for unified viscoplastic constitutive equations

  • Received Date: 2006-11-14
  • Rev Recd Date: 2007-03-10
  • Publish Date: 2007-11-28
  • Unified viscoplasticity constitutive equations are a system of integral or incremental equations with implied internal variables.So,it is difficult to provide a well-defined expression of the consistent tangent modulus.Based on the backward Euler's integral for unified viscoplasticity constitutive equations,a new expression of consistent tangent modulus was derived for rate-dependent plasticity.The constitutive equations and consistent tangent modulus expression were implemented in a commercial finite element code-MARC.The numerical examples of finite elements verify the feasibility of consistent tangent modulus.

     

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  • [1]
    Simo J C,Taylor R L.Consistent tangent operators for rate-independent elastoplasticity[J].Comput Methods Appl.Mech.Engrg,1985,48(3):101-118.
    [2]
    Peric D.On consistent stress rates in solid mechanics:computational implications[J].Methods Engrg,1992,33(4):799-817.
    [3]
    Peric D,Owen D R J,Honnor M E.A model for finite strain elasto-plasticity based on logarithmic strains:Computational issues[J].Comput Methods Appl.Engrg,1992,94(2):35-61.
    [4]
    康国政.循环稳定材料的棘轮行为:Ⅱ-隐式应力积分算法和有限元实现[J].工程力学,2005,22(3):204-209.KANG Guozheng.Ratcheting of cyclically stable materials:Ⅱ-Implicit stress integration algorithm and finite element implementation[J].Engineering Mechanincs,2005,22(3):204-209.
    [5]
    Simo J C,Taylor R L.A return mapping algorithm for plane stress elastoplasticity[J].Methods Engrg,1986,22(4):649-670.
    [6]
    Nagtegaal J C.On the implementation of inelastic constitutive with special reference to large deformation problems[J].Comput Methods Appl.Mech.Engrg,1982,33(6):469-484.
    [7]
    Arminjon M,Bacroix B.On plastic potentials for anisotropic metals and their derivation from the texture function[J].Acta.Mech,1990,88(1):219-243.
    [8]
    Ronda J,Murakawa H,Oliver G J,et al.Thermo-mechano-metallurgical model of welded steel,Part Ⅱ:Finite element formulation and constitutive equations[J].Transactions of Japanese Welding Research Institute,1995,24(3):93-113.
    [9]
    王庆五,杨晓光,石多奇.IN738LC材料Chaboche热粘塑性本构模型的隐式Euler格式[J].航空动力学报,2005,20(6):964-968.WANG Qingwu,YANG Xiaoguang,SHI Duoqi.Implicit Euler form of Chaboche thermal viscoplastic model of IN738LC material[J].Journal of Aerospace Power,2005,20(6):964-968.
    [10]
    Oritz M,Popoy E P.Accuracy and stability of integration algorithms of elastoplastic constitutive equations[J].Meth.Engrg,1985,21(4):1561-1576.
    [11]
    Dodds R H.Numerical techniques for plasticity computations in finite element analysis[J].Comput Struct,1987,26(6):767-779.
    [12]
    Geus A,Potts D M.Critical state models in computational geomechanics[J].Engrg Comput,1988,5(6):178-197.
    [13]
    Borja R I,Rlee S,Seed R B.Numerical simulation of excavation in elasto-plastic soils[J].Anal.Meth.Geomech,1989,13(2):231-249.
    [14]
    Crisfield M A.Non-linear finite element analysis of solids and structures[M].Essentials,Wiley,New York:1991.
    [15]
    Armstrong P J,Frederick C O.A mathematical representation of the multiaxial Bauschinger effect[R].Technical Report RD/B/N731,General Electricity Generating Board,Berkeley Nuclear Laboratories,1996.
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