Hi Sebastian,
first of all, sorry for my late reply. Thank you very much for comment, it
certainly raises some very interesting points. I think the only thing which
is still left to be explained is the fact that a triangular grid, which
yields the right isotropic result, becomes anisotropic

Hi David,
I'm neither an expert, nor do I know the literature well, but looking on
your pictures, I think, the situations you are studying are
geometrically anisotropic. Just plot the distribution of angles the
faces of your inhomogenities make with the x-axis. For the quad-case,
you'll get two

On 7/10/20 9:15 AM, David F wrote:
I have a 2D system for which I create the stiffness tensor of an isotropic
material, but for each finite element I create it with a different shear
modulus. The shear modulus is random for each element (I use an exponential
distribution, but any distribution

I have a 2D system for which I create the stiffness tensor of an isotropic
material, but for each finite element I create it with a different shear
modulus. The shear modulus is random for each element (I use an exponential
distribution, but any distribution leads to the same behavior as long

On 7/2/20 10:06 PM, David F wrote:
*_Q2_:* why the system behaves as anisotropic if its local inhomogeneous
elastic properties are isotropic? If you have any comment or suggestion about
the problem of mesh-induced elastic anistropy in FEM, I would like to know it.
I don't know how exactly

Hello everyone,
I'm trying to solve a 2D solid mechanics homogenization problem, in which I
have element-wise constant elastic properties, which are inhomogeneous and
isotropic from element to element (i.e., I am assembling the system using
the same 4-rank stiffness tensor for all the