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.
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Project supported by the Advanced Technology Research Foundation of National Science & Technology Committee of P R China
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Ximin, C., Zhida, C. The application of nonlinear gauge mathod to the analysis of local finite deformation in the necking of cylindrical bar. Appl Math Mech 20, 119–127 (1999). https://doi.org/10.1007/BF02481890
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DOI: https://doi.org/10.1007/BF02481890