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带弹性范围物质理论和背应力定义

陈良森 赵兴华

陈良森, 赵兴华. 带弹性范围物质理论和背应力定义[J]. 应用数学和力学, 1999, 20(5): 452-460.
引用本文: 陈良森, 赵兴华. 带弹性范围物质理论和背应力定义[J]. 应用数学和力学, 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.

带弹性范围物质理论和背应力定义

详细信息
    作者简介:

    陈良森(1966~ ),男,博士,副教授;赵兴华(1939~ ),男,教授.

  • 中图分类号: O344.1

A Mathematical Theory of Materials with Elastic Range and the Definition of Back Stress Tensor

  • 摘要: 在推广Lucchesi和Podio-Guidugli(1988)的带弹性范围物质理论的基础上,表明了背应力作为Cauchy应力空间中屈服面“中心”的定义存在问题.背应力是Lagrange型变量,只能定义在Lagrange型应力空间上.
  • [1] 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.
    [2] 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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    [4] Lucchesi M.Podio-Guidugli P.Materials with elastic range:a theory with view to applications,Part Ⅰ[J].Arch Rational Mech Anal,1988,102(1):23~43.
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    [7] Zheng Q S.On the generalization of constitutive laws from their arotational forms[J].Acta Mech,1992,91(1-2):97~105.
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    [10] Naghdi P M.A critical review of the state of the finite plasticity[J].J Appl Math Phys (ZAMP),1990,4(3):315~394.
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出版历程
  • 收稿日期:  1998-04-14
  • 修回日期:  7998-11-08
  • 刊出日期:  1999-05-15

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