Computational & Technology Resources
an online resource for computational,
engineering & technology publications
Computational Science, Engineering & Technology Series
ISSN 1759-3158
Edited by: B.H.V. Topping and P. Iványi
Chapter 1

Frontiers in Finite Element Procedures and Applications

K.J. Bathe

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, United States of America,

Full Bibliographic Reference for this chapter
K.J. Bathe, "Frontiers in Finite Element Procedures and Applications", in B.H.V. Topping and P. Iványi, (Editor), "Computational Methods for Engineering Technology", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 1, pp 1-40, 2014. doi:10.4203/csets.35.1
Keywords: finite element methods, shells, MITC elements, transient dynamics, explicit and implicit methods, large eigenvalue problems, modelling of proteins and DNA structures..

In this chapter, we consider some frontiers in finite element procedures, and frontiers of novel applications. We focus on theoretically well-founded procedures that advance the solution of practical problems in engineering and the sciences. For the analysis of shells, the use of interpolation covers to enhance solutions is presented and the new MITC3+ shell element is discussed. For transient dynamic solutions, insights in implicit and explicit time integration methods and the solution of large eigenvalue problems are given. For multi-physics analyses, the full coupling between solid, fluid, electromagnetic, and thermal effects is considered. Finally, we also briefly focus on the finite element modelling of Protein and DNA nano-scale structures by coarse graining, which represents a very important frontier for future research.

purchase the full-text of this chapter (price £20)

go to the previous chapter
go to the next chapter
return to the table of contents
return to the book description
purchase this book (price £95 +P&P)