Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (10): 909-921.

• 论文 •    下一篇

QUASI-PRINCIPAL AXIS METHOD IN FINITE DEFORMATION

郑泉水   

  1. Department of Engineering Mechanics, Qinghua University, Beijing 100084, P. R. China
  • 收稿日期:1996-03-16 出版日期:1996-10-18 发布日期:1996-10-18
  • 基金资助:

    Project supported by the State Education Commission Foundation of China and the National Distinguished Young Scientist Foundation of China

QUASI-PRINCIPAL AXIS METHOD IN FINITE DEFORMATION

Zheng Quanshui   

  1. Department of Engineering Mechanics, Qinghua University, Beijing 100084, P. R. China
  • Received:1996-03-16 Online:1996-10-18 Published:1996-10-18
  • Supported by:

    Project supported by the State Education Commission Foundation of China and the National Distinguished Young Scientist Foundation of China

摘要: A quasi-quasi-principal axis frame means a unit orthogonal frame in which the shear strains are small. As an extension of Hill’s principal axis method we establish the approximate representations for various strains. the.finite rotation tensor, spins, strain rates. conjugate stresses and their rates with respect to quasi-principal axes. The quasiprincipal axis method may function as a new basis of numerically analyzing finite deformation problems.

关键词: small shear strain, quasi-principal axes, applied large deformation method

Abstract: A quasi-quasi-principal axis frame means a unit orthogonal frame in which the shear strains are small. As an extension of Hill’s principal axis method we establish the approximate representations for various strains. the.finite rotation tensor, spins, strain rates. conjugate stresses and their rates with respect to quasi-principal axes. The quasiprincipal axis method may function as a new basis of numerically analyzing finite deformation problems.

Key words: small shear strain, quasi-principal axes, applied large deformation method

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