非连续变形计算力学模型中的广义有限单元

Generalized Finite Element of Discontinuous Deformation Computational Mechanics Model

阐述了广义结点的数学覆盖和物理覆盖、覆盖的类型及其特征·在此基础上 ,由广义结点构造数学覆盖 ,并介绍了不同类型的数学覆盖·广义有限单元是由数学覆盖、物理覆盖和本构关系构成 ,不同特性的数学覆盖和本构关系可构成不同特性的广义有限单元 ,以模拟多体系统中不同特性的物体 ,如刚体、弹性体、弹塑性体、粘弹性体和粘弹塑性体等 。

Generalized node with generalized free of degree,mathematical cover and physical cover were presented. The mathematical cover is constituted of generalized nodes, and different types of mathematic cover were introduced. Generalized finite element is composed of mathematical cover and physical cover and constitutional relation. Different characteristic mathematical cover and constitutional relation form different characteristic generalized finite element to simulate different characteristic bodies in multi body system of interaction, such as rigid body,elastic body,elasto plastic body,viscoelastic body and viscoelastoplastic body. The fundamental matrixes and vectors of general generalized finite element were given out. Solid foundation was established for discontinuous deformation computational mechanics model on the hand of element discretization.