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representative volume element (RVE)

tarkes's picture

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

 

Siddiq Qidwai's picture

Determination of Representative Volume Element (RVE) based on Microstructure

Estimating the response of polycrystalline materials using sets of weighted statistical volume elements

Siddiq M. Qidwai, David M. Turner, Stephen R. Niezgoda, Alexis C. Lewis, Andrew B. Geltmacher, David J. Rowenhorst, Surya R. Kalidindi

Acta Materialia, 60, 5284–5299, 2012; http://dx.doi.org/10.1016/j.actamat.2012.06.026 

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