弹粘塑性有限元分析中相对于几种屈服准则的H矩阵的统一格式
UNIFIED FORMULA OF MATRIX H CORRESPONDING TO SEVERAL YIELD CRITERIA IN ELASTO-VISCOPLASTIC FINITE ELEMENT ANALYSIS
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摘要: 文献介绍了弹粘塑性有限无解的数值方法,给出了Mises屈服准则的H矩陈表达式。本文对工程中常用的四种屈服准则,即Mises,Tresca,Mohr-coulomb,Drucker-Prager准则,给出了H矩阵的统一格式,提供厂消除Tresca,Mohr-Coulomb准则奇异性的方法并给出了公式。Abstract: Reference 1 intruduced numerical method of elasto-viscoplastic finite element solution and presented expression of matrix H for the Mises criterion. In this paper, the author derives the unified formula of matrix H for the four yield criteria, i.e., Mises, Tresca, Mohr-Coulomb and Drucker-Prager which are often appeared in engineering, discusses method of eliminating singularity in Tresca or Mohr-Coulomb criterion, and obtains corresponing formula.