THE APPLICATION OF NONLINEAR GAUGE MATHOD TO THE ANALYSIS OF LOCAL FINITE DEFORMATION IN THE NECKING OF CYLINDRICAL BAR

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 19 ›› Issue (2): 119-127.

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THE APPLICATION OF NONLINEAR GAUGE MATHOD TO THE ANALYSIS OF LOCAL FINITE DEFORMATION IN THE NECKING OF CYLINDRICAL BAR

Cui Ximin, Chen Zhida

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

Received:1997-04-17 Revised:1998-07-08 Online:1999-02-18 Published:1999-02-18
Supported by:
Project supported by the Advanced Technology Research Foundation of National Science & Technology Committee of P. R. China

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 neckingand 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 localstrain distribution and progressive state of axial symmetric finite deformation of cylindrical bar under uniaxial tension adopting nonlinear gauge approximate method and computer modelling technique.

Key words: nonlinear geometric field theory, nonlinear gauge method, localized Deformation

Cui Ximin;Chen Zhida. THE APPLICATION OF NONLINEAR GAUGE MATHOD TO THE ANALYSIS OF LOCAL FINITE DEFORMATION IN THE NECKING OF CYLINDRICAL BAR. Applied Mathematics and Mechanics (English Edition), 1999, 19(2): 119-127.

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THE APPLICATION OF NONLINEAR GAUGE MATHOD TO THE ANALYSIS OF LOCAL FINITE DEFORMATION IN THE NECKING OF CYLINDRICAL BAR

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