有限变形问题拟主轴法*
Quasi-Principal Axis Method in Finite Deformation
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摘要: 所谓拟主轴标架,是一个单位正交标架,且相对于该标架的剪应变分量很小。作为Hill的主轴法的一种实用推广,我们在拟主轴杯架下建立了应变、转动、旋率、应变率、共轭应力和应力率在拟主轴标架下的近似表示形式。发展拟主轴法的目的,是试图既保留主轴法的主要优点,又可作为某种分析大变形问题的高效数值示析方法的基础。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.
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