摘要
本文是文献[1]的续篇。根据运动变形描述的要求,应将在变形构形上定义的载荷转换为在参考构形上描述,为此,本文提出了转换模式和转换后的载荷增量计算方法.然后,在此基础上给出了不同形式的面载荷(包括法向分布载荷和切向分布载荷)在总体拉格朗日和适时拉格朗日描述中的转换和载荷增量的计算公式. 研究结果表明,与总体拉格朗日描述一样,在适时拉格朗日描述中,也需考虑由于变形引起的载荷增量修正.
The work in this paper is the extension to ref. [1]. According to the demand of the formulation of the motion of a deformable body, the external loading applied on the body's surface in deformed configuration should be described in reference configuration. In this paper, the transformation mode and calculation method of the external loading and incremental loading due to the deformation of the body and loading increment are proposed. Then on these bases, the formulae for two kinds of external loading (including normal and tangential tractions) are presented. The results obtained show that when Updated Lagrangian Formulation is adopted, the amendment of incremental loading should be considered as well as in Total Lagrangian Formulation.
关键词
连续介质
有限变形
载荷转换
计算
finite deformation
reference configuration
loading transformation
incremental loading
