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Article Navigation >  Applied Mathematics and Mechanics  > 1999  >  20(5): 452-460
Chen Liangsen, Zhao Xinghua. A Mathematical Theory of Materials with Elastic Range and the Definition of Back Stress Tensor[J]. Applied Mathematics and Mechanics, 1999, 20(5): 452-460.
Citation: Chen Liangsen, Zhao Xinghua. A Mathematical Theory of Materials with Elastic Range and the Definition of Back Stress Tensor[J]. Applied Mathematics and Mechanics, 1999, 20(5): 452-460.
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A Mathematical Theory of Materials with Elastic Range and the Definition of Back Stress Tensor

  • 1.

    Institute of Engineering Mechanics, Nanchang University, Nanchang 330029, P R China;

  • 2.

    Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P R China

  • Received Date: 1998-04-14
  • Rev Recd Date: 7998-11-08
  • Publish Date: 1999-05-15
    Abstract
  • In this paper,the theory of materials with elastic range by Lucchesi and Podio-Guidugli (1988) has been generalized.It has also shown that there are some difficulties on the definition of back stress as the"center" of the yield surface in the Cauchy space.The back stress tensor is Lagrangian,and must be defined in the Lagrangian stress space.
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    • References(10)
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    Agah-Tehrani A,Lee E H,Mallett R L,et al.The theory of elastic-plastic deformation at finite strain with induced anisotropy modeled as combined isotropic-kinematical hardening[J].J Mech Phys Solids,1987,35(5):519～539.
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    Casey J,Naghdi P M.On the relationship between the Eulerian and Lagrangian description of finite rigid plasticity[J].Arch Rational Mech Anal,1988,102(4):351～375.
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    Dafalias Y F.Issues on the constitutive formulation at large elsatic-plastic deformations,Part Ⅰ:Kinematics[J].Acta Mech,1987,69(1-4):119～138.
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