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shuvo's picture

RECENT DEVELOPEMENTS ON THE USE OF FDM IN ELASTICITY ANALYSIS

Tue, 2011-05-10 17:25 - shuvo
research
FDM

Computational field of solid mechanics is mostly dominated by FEM.   This is a well known topic.

But is it that  FDM (finite difference method) has no chance of surviving
in solid mechanics?

What are the present developments in the use of FDM in case of elasticity analysis of solid body?

I would like to mention some of the recent research works on this topic here.....

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Ajit R. Jadhav's picture

FEM Is Not a Local Method (and It Isn't Global Either)

Thu, 2009-02-05 02:46 - Ajit R. Jadhav
FEM
FDM
BEM
local theory
global theory
sub-global theory
Fourier
integral equations
quantum

In the literature, FEM has sometimes been characterized as a local approach, but IMO this needs to be corrected.

The piecewise continuous trial-functions of FEM can be looked at from two different viewpoints:

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Ajit R. Jadhav's picture

Why not use FDM in solid mechanics?

Sun, 2007-05-27 06:40 - Ajit R. Jadhav
Forums: 
Ask iMechanica
Free Tags: 
fluid mechanics
solid mechanics
Finite Element Method
FEM
finite difference method
FDM

Finite Difference Method (FDM) and the related techniques such as FVM, are often found put to great use in fluid mechanics. See any simulation showing not only streamlines but also vortex shedding, turbulent mixing, etc.

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