Computational Mechanics Forum

I understand that the principle of XFEM is enrichment:

XFEM is a local partition of unity (PUM) enriched finite element method. By local, it means that only a region near

the discontinuities such as cracks, holes, material interfaces are enriched. The most important concept in this

method is "enrichment" which means that the displacement approximation is enriched (incorporated) by additional

problem-specific functions.

Similarly-what is the principle of mesh free methods?

Hi





I am trying to build a shape function shape function using compatly supported RBF.

The system i am solving is:

Kij B  *   λ  = I

B^T 0      μ     0

Where K is the RBF,  Kij - Kji = K (|| xi - xj  ||) , B is the base [1 x y]

I was wondering whether CosmosWorks could help me solve this ( node/5016 ) ?

I prefer to stay with SolidWorks because I already use it for 3D modeling so I guess it will be easier to learn,

but if necessary I would also consider software like Simulink.

What do you recommend?



Thanks in advance!

IF I have a 2-D slab (plate)  which has some openings - can the XFEM prove advantageous over conventional FEM for such case?That is, can I use enrichment functions around the openings (as around the cracks).

Hi All 

I am looking for a tool/software to model hydraulically fracturing process in sandstone reservoir. The modelling will have the following main features

- coupled fracture propagation with flow inside the fractures and flow leakage from fracture to sandstone matrix

-Interaction between hydraulic fractures and natual fracture

 Thanks for any suggestion and help.

 Yongnuan

Can anyone suggest any text book for XFEM?

Hi,

XFEM is a local partition of unity (PUM) enriched finite element method. By local, it means that only a region near the discontinuties such as cracks, holes, material interfaces are enriched. The most important concept in this methodis "enrichment" which means that the displacement approximation is enriched (incorporated) by additional problem-specific functions.

How does one calculate the phonon dispersion relations from the output of a molecular dynamics simuation? 

I have successfully calculated the complete phonon density of states using a fourier transform of the velocity autocorrelation function, but I am still confused as to how to calculate the particular phonon dispersion curves.

Thank you.