Some New Elements for the Matrix Displacement Method
Abstract
This paper presents a summary of some of the progress in the application of finite element methods to problems of continuum and structural mechanics. Since space was limited, we could not reproduce the theory and applications of an extensive class of new equilibrium elements, and had to restrict the review to pure kinematic models (matrix displacement method). Moreover, in this latter field we can only give a limited survey of the work carried out at the Institute of Statics and Dynamics and the Department of Aeronautical Structures at Imperial College. With few exceptions, we have ignored the basic theory and have reproduced only some characteristic results. Broadly, the research presented here covers the following fields: (a) Application of more refined elements to three-dimensional stress and strain fields; (reference to the corresponding two-dimensional developments are not made); (b) Application of two highly efficient classes of fully compatible plate elements; (c) A new class of elements for shells of arbitrary geometry; (d) A generalization and refinement of the analysis of elasto-plastic deformations, including a new iterative method. Here too, we had to omit a discussion of the kinematic hardening effect; (e) Some techniques for the analysis of large displacements and strains.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1968
- Accession Number
- ADA447740
Entities
People
- D. W. Scharpf
- G. Mareczek
- H. M. Hilber
- J. H. Argyris
- K. E. Buck