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Variational Methods

MWR for the first- and third-order differential equations

Sat, 2014-02-15 09:03 - Ajit R. Jadhav
education
finite element analysis
Weighted Residual
Variational Methods

Hi all,

In engineering sciences, we usually end up using either the second- or the fourth-order differential equations, and the MWR (the method of weighted residuals) works pretty well for them.

The question is: how about the first- and the third-order differential equations? Why don't we see any applications of MWR for these odd-ordered differential equations? What gives?

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bazant's picture

Objective Stress Rates in Finite Strain of Inelastic Solid and Their Energy Consistency

Fri, 2012-05-11 21:38 - bazant
research
finite element analysis
large deformation
Variational Methods
Commercial Software

In many practical problems of solid mechanics, it is sufficient to characterize material deformation by the small (or linearized) strain tensor. But there are also many problems where the finiteness of strain must be taken into account.

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