Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-18T16:39:08.566Z Has data issue: false hasContentIssue false
  • English
  • Français

Fundamentals of a Vector Form Intrinsic Finite Element: Part III. Convected Material Frame and Examples

Published online by Cambridge University Press:  05 May 2011

Chiang Shih ,
Yeon-Kang Wang  and
Edward C. Ting
Chiang Shih*
Affiliation:
Trinity Foundation Engineering Consultants Co., Ltd., Taipei, Taiwan 106, R.O.C.
Yeon-Kang Wang*
Affiliation:
Department of Information Management, Fortune Institute of Technology, Kaohsiung County, Taiwan 831, R.O.C.
Edward C. Ting*
Affiliation:
School of Civil Engineering, Purdue University, West Lafayette, Indiana, U.S.A. Department of Civil Engineering, National Central University, Taoyuan, Taiwan 320, R.O.C.
*
*Senior Engineer
**Associate Professor
***Professor Emeritus, AOS Foundation Chair Professor (Ret.)
Get access

Abstract

In the third article of the series, a convected material frame is used to develop an incremental analysis procedure to calculate motions with large deformation and large displacement. Five numerical examples are given. The first three illustrate some numerical problems in explicit finite element that are resolved in the present approach. The other two demonstrate the stability and convergence of the method.

Keywords

IncrementalLarge deformationFinite elementExplicit
Type
Articles
Information
Journal of Mechanics , Volume 20 , Issue 2 , June 2004 , pp. 133 - 143
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Malvern, L. E., Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, Inc., Englewood Cliffs, N.J. (1969).Google Scholar
2.Biot, M., Mechanics of Incremental Deformation, John Wiley & Sons, New York (1965).CrossRefGoogle Scholar
3.Bathe, K. J., Finite Element Procedures in Engineering Analysis, Prentice-Hall Inc., Englewood Cliffs, N.J. (1986).Google Scholar
4.Rice, D. L. and Ting, E. C., “Large Displacement Transient Analysis of Flexible Structures,” Int. J. Num. Meth. Eng., 36, pp. 1541–1562 (1993).CrossRefGoogle Scholar
5.Wang, Y. K., “A General Curved Element for very Flexible Beam,” Ph.D. Dissertation, Purdue University (1996).Google Scholar
6.Shih, C., “Computational Analysis of Dry Soil Containing Stiff Objects,” Ph.D. Dissertation, Purdue University (1999).Google Scholar
7.Rice, D. L. and Ting, E. C., “Fragmentation Algorithm for Finite Element Failure Simulation and Analysis,” Int. J. Num. Meth. Eng., 36, pp. 3859–3881 (1993).CrossRefGoogle Scholar