On the analysis of rotation and stress rate in deforming bodies

摘要: When a solid element experience large deformations, the components of stress will, in general, vary as result material rotation. These changes occur even absence additional strain, and need to be accounted for formulating constitutive laws that involve rate change stress. In this paper correction terms are extended case when axes become strongly skewed. An expression rotation an explicit function vorticity, deformation stretch is derived. It then shown depends on As example, expressions derived hypoelastic undergoing uniform, rectilinear, shear. The shear compared with solution neglects skewing axes, it found that, may neglected strains less than 0.4. Finally, use these relations numerical calculations involving finite discussed.