A re-formulation of the exponential algorithm for finite strain plasticity in terms of cauchy stresses
作者: G. MeschkeW.N. Liu
作者单位: 1Institute for Structural Mechanics, Ruhr-University Bochum, D-44780 Bochum, Germany
2Institute for Strength of Materials, Vienna University of Technology, A-1040, Karlsplatz 13, Vienna, Austria
刊名: Computer Methods in Applied Mechanics and Engineering, 1999, Vol.173 (1-2), pp.167-187
来源数据库: Elsevier Journal
DOI: 10.1016/S0045-7825(98)00267-9
英文摘要: Abstract(#br)The role of the stress measure to be chosen as the argument in the definition of yield functions is discussed in the context of finite strain plasticity theory. Motivated by physical arguments, the exponential algorithm for multiplicative finite strain plasticity is revisited such that Cauchy stresses are adopted as arguments in the yield function. Using logarithmic strain measures, the return map algorithm is formulated in principal axes. The algorithmic tangent moduli are obtained in a slightly modified, unsymmetric format compared to the standard formulation in terms of Kirchhoff stresses. However, the global structure of the exponential algorithm is unchanged. The algorithm is applied to the re-formulation of the Cam—Clay model in terms of Cauchy stresses. The typical...
全文获取路径: Elsevier  (合作)