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

Chen Liangsen; Zhao Xinghua

Article Contents

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.

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.

PDF( 391 KB)

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

Chen Liangsen¹,
Zhao Xinghua²

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

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.
- theory of materials with elastic range,
- elastic-plastic constitutive relation,
- back stress

FullText(HTML)

References(10)

References

[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.
[3]	Casey J,Naghdi P M.A prescription for the identification of finite plastic strain[J].Int J Engng Sci,1992,30(10),1257～1278.
[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.
[5]	Nemat-Nasser S.On finite plastic flow of crystalline solids and geomaterials[J].J Appl Mech,1983,50(4):1114～1126.
[6]	Noll W.A mathematical theory of the mechanical behavior of continuous media[J].Arch Rational Mech Anal,1958,2(3):197～226.
[7]	Zheng Q S.On the generalization of constitutive laws from their arotational forms[J].Acta Mech,1992,91(1-2):97～105.
[8]	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.
[9]	Dafalias Y F.Issues on the constitutive formulation at large elastic-plastic deformations,Part Ⅱ:Kinematics[J].Acta Mech,1988,73(1-4):121～146.
[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.