A study on motion of 3D solids by a vector form intrinsic finite element

Tong Yue Wu, Jeng Hang Wu, Chung Ming Ho, Ching Chian Chuang, Chung Yue Wang, Ren Zao Wang

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)79-89
Number of pages11
JournalJournal of the Chinese Institute of Civil and Hydraulic Engineering
Volume19
Issue number1
StatePublished - Mar 2007

Keywords

  • 4-noded tetrahedral element
  • Convected material frame
  • Deformation coordinate
  • Vector form intrinsic finite element

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