History of FEA analysis
History of FEA analysis
(OP)
I'm working on a paper which I hope to publish and could use some help on some background information. Part of the paper concerns the history of the control volume concept as used in thermodynamics and fluid mechanics. Similarly, some history of the finite element analysis used for analyzing stress or EM fields would apply. Also, history on the development of any similar method, regardless of what it is called might also be applicable such as "free body diagrams" used for statics and dynamics or "nodal analysis" sometimes used for heat transfer.
I'd like to give credit where credit is due. I'm looking for any papers, published in peer reviewed journals, which have shown how to apply either the control volume concept, the finite element analysis concept, or similar reductionist concepts to a physical simulation. Any information on the use of these concepts is applicable, regardless of whether the paper published uses the concept to analyze stress, fluid flow, EM fields, or any other phenomenon. The important part is that the paper should show how to apply the basic concept to a computer analysis.
Thanks for your help.
I'd like to give credit where credit is due. I'm looking for any papers, published in peer reviewed journals, which have shown how to apply either the control volume concept, the finite element analysis concept, or similar reductionist concepts to a physical simulation. Any information on the use of these concepts is applicable, regardless of whether the paper published uses the concept to analyze stress, fluid flow, EM fields, or any other phenomenon. The important part is that the paper should show how to apply the basic concept to a computer analysis.
Thanks for your help.





RE: History of FEA analysis
Cheers
Greg Locock
Please see FAQ731-376 for tips on how to make the best use of Eng-Tips.
RE: History of FEA analysis
RE: History of FEA analysis
RE: History of FEA analysis
RE: History of FEA analysis
http://en.wikipedia.org/wiki/Feng_Kang
"In the later 1950s and early 1960s, based on the computations of dam constructions, Professor Feng proposed a systematic numerical method for solving partial differential equations. The method was called Finite difference method based on variation principle. This method was also independently invented in the West, called there the finite element method. It is now considered that the invention of trhe finite element method is a milestone of computational mathematics. In 70s Professor Feng gave embedding theories in the discontinuous finite element space, and generalized classical theory on elliptic equations to various dimensional combination, which provided a mathematical foundation for elastic composite structures."
RE: History of FEA analysis
RE: History of FEA analysis
I don't really see why you keep mentioning them in the same breath as FE, I certainly don't see any useful parallels.
Cheers
Greg Locock
Please see FAQ731-376 for tips on how to make the best use of Eng-Tips.
RE: History of FEA analysis
RE: History of FEA analysis
D. McHenry, A lattice analogy for the solution of plane stress problems, J. Inst. Civ. Eng., 21, 59-82, 1943
A. Hrenikoff, Solution of problems in elasticity by the framework method, J. Appl. Mech., A8, 169-75, 1941
N. M. Newmark, Numerical methods of analysis in bars, plates, and elastic bodies, in Numerical Methods in Analysis in Enginering, Macmillan, 1949
J. H. Argyris, Enerty Theorems and Structural Analysis, Butterworth, 1960, reprinted from Aircraft Eng., 1954-55
RE: History of FEA analysis
One purpose of a CV is to help isolate some specific volume of space in order to apply only those causal relationships to it which affect what is inside. Similarly an FE isolates some specific volume of space in order to apply only those causal relationships which affect it.
I'd quickly agree that CV's were used initially for thermo and/or perhaps fluid dynamics whereas FE are the more modern equivalent which are applied to those phenomena and many more including EM fields, stress analysis and others. But the basic philosophy of how you can reduce some mechanism to it's bits and pieces is the same when it comes to the various methods employed, be they CV's, FE's, "free bodys", or other concepts.
I'm not really interested in what specific numeric methods are used for any given analysis or any of the actual math involved at all. Rather I'm looking for how the original idea of reducing some mechanism to it's constituent parts was started and how it was described originally such that the mathematical treatment could be applied to some volume of space. Hope that makes a bit more sense.
Thanks again for the feedback.
RE: History of FEA analysis
Cheers
Greg Locock
Please see FAQ731-376 for tips on how to make the best use of Eng-Tips.