[Getdp] Elasticty3D example
Christophe Geuzaine
cag32 at case.edu
Sat Nov 19 17:17:27 CET 2005
Arkadiusz Wasylkow wrote:
> Dear group
> Recently I found gmsh project at freshmeat site. Seems to be very
> interesting software.
> First of all I'm trying to perform some acoustic compliance calculations
> with it based on Elasticty3D example.
> Because I'm not too good on advanced math I have 2 questions regarding this
> example problem:
> - What means factors c1 , c2 ,c3 and matrices produced with them ? I hope
> it's somehow related to material properties like Young modulus and Poisson
> ratio.
Yes, they are the elastic coefficients linking the stress (sigma) and
the strain (epsilon = {D1,D2} u), i.e., Hooke's law.
The ordering depends on the ordering of the components in epsilon: cf.
http://geuz.org/getdp/wiki/LinearElasticity
> - How to produce stimulus (force, or pressure) changeable in time, for
> example sine wave at certain frequency.
>
You have to add the relevant dynamic terms in the formulation, i.e.,
"Galerkin { DtDt [ rho[] * Dof{u} , {u} ];", define a time-dependent
constraint (cf. TimeFunction in Constraint) and a time-stepping scheme
in the resolution (cf. TimeLoopNewmark in Resolution).
Christophe
> Thanks in advance.
>
> Arkadiusz Wasylków
>
>
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--
Christophe Geuzaine
Assistant Professor, Case University, Mathematics
http://www.case.edu/artsci/math/geuzaine