The Application of Nonlinear Gauge Method to the Analysis of Local Finite Deformation in the Necking of Cylindrical Bar

Cui Ximin; Chen Zhida

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(2): 111-118

Cui Ximin, Chen Zhida. The Application of Nonlinear Gauge Method to the Analysis of Local Finite Deformation in the Necking of Cylindrical Bar[J]. Applied Mathematics and Mechanics, 1999, 20(2): 111-118.

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The Application of Nonlinear Gauge Method to the Analysis of Local Finite Deformation in the Necking of Cylindrical Bar

Beijing Graduate School, China University of Mining & Technology, Beijing 100083, P R China

Received Date: 1997-04-17
Rev Recd Date: 1998-07-08
Publish Date: 1999-02-15

Abstract

Abstract

Localized deformation and instability is the focal point of research in mechanics.The most typical problem is the plastic analysis of cylindrical bar necking and shear band under uniaxial tension. Traditional elasto-plastic mechanics of infinitesimal deformation can not solve this problem successfully.In this paper,on the basis of S(strain)-R(rotation)decomposition theorem,the authors obtain the local strain distribution and progressive state of axial symmetric finite deformation of cylindrical bar under uniaxial tension adopting nonlinear gauge approximate method and computer modelling technique.
- nonlinear geometric field theory,
- nonlinear gauge method,
- localized deformation

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References(13)

References

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