# 2-D finite element

## PolyFEM: Obtaining polygonal mesh from structured T3 Mesh

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Hello,

I am developing a solver implemeting Polygonal Finite Element Method (PolyFEM). Currently my code can handle n-gons with nmax=6 (hexgon).

I am trying to test the code with comlex geometries for which I need to obtain polygonal meshes. PolyMesher developed by Dr Paulino's group can obtain polygonal mesh using voronoi doagrams but the code doesn't provide control over the maximum number of edges of a polygon in mesh and ends up creating octagons etc. Hence I am thinking of using a code which can convert a structured  T3 mesh into hexagonal mesh.

## Defining perioidc BC for 1 element elastic model for Biaxial pull in ABAQUS

For simplicity in understanding Perioidic BC in ABAQUS, I am trying to implement in a single element elastic model.

Material is elastic. There are two reference points defined Refpoint 1 for x-direction pull and Refpoint 2 for y-direction pull. Please find the attached picture for clarity in the model.

I have defined the equations for PBC in ABAQUS as below:

x1-x2+Refpoint1=0

y1-y2+Refpoint1=0

x3-x4+Refpoint1=0

y3-y4+Refpoint1=0

x2-x3+Refpoint2=0

y2-y3+Refpoint2=0

## 3-D crack propagation using 2-D dimensional finite element

Dear Friends,

I have developed a ser of 2-D finite elements for the problems of structural mechanics. These two dimensional elements are capable of accurately predicting three dimensional stress states using three diemnsional constitutive law. My doubt is: can these elements be used for the analysis of 3-D crack propagation using XFEM?.  The displacements chosen for these elements are simple.

Subramanian 