【摘要】 本文讨论了平面问题中变形梯度的两种分解——极分解和S—R分解,分析了这两种分解的相互关系,并在小应变、大转动变形情况下建议了S—R分解的一个修正公式。本文还给出了求算极分解的Biot公式的不变性形式,证明了平面问题的主转动角可以解释为平均变形转角。更多还原

【Abstract】 In this paper, the two kinds of decompositions, polar and S-Rdecompositions, of the deformation gradient of plane problems are discussed (especiallydelailed for the latter). The relationships and differences between them are analyzied.An invariant form of Biot’ s formula for the polar decomposition is presented. Amodified S-R decomposition is suggested under the condition of small strain accompaniedby large rotation deformation. It is proved that the principal rotation angle in thepolar decomposition is equal to the mean value of the deformation rotation angles.更多还原