The objective of this paper is to study the motion of 3D solids by a vector form intrinsic finite element (VFIFE). A tetrahedral element with 4 nodes is proposed and a formulation of element internal nodal forces is emphasized. The formulation includes a new description of kinematics to dissect rigid body and deformation displacements, and a set of deformation coordinates for each time increment to describe deformation and internal nodal forces. A convected material frame and explicit time integration for the solution procedures are also adopted. Some numerical examples are presented to illustrate the performance of the proposed element.
|Number of pages||11|
|Journal||Journal of the Chinese Institute of Civil and Hydraulic Engineering|
|State||Published - Mar 2007|
- 4-noded tetrahedral element
- Convected material frame
- Deformation coordinate
- Vector form intrinsic finite element