Almost three years also , I posted an entry titled Scalar Done Wrong. The entry has received a large number of comments, and 16,793 reads. I have since tried to get scalars right. I have just attached today’s version of my notes as a PDF file to the original entry.
Hi,
Is it possible to use micromechanical homogenization to simulate damage localization? The analytical procedures that I have come across, mostly gives a homogenized behavior of the composite and is suitable as long as the damage is diffused. Is there a way to obtain the behavior when the defects (for example microcracks) localize into a damage zone? Some lead or suggestions of reference materials would be of great help.
Thanks.
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The classical problem of a cable under axial load has been revisited by Weiguo Wu and Xin Cao: Mechanics model and its equation of wire rope based on elastic thin rod theory, International Journal of Solids and Structures, in press, 9 pages. On line 22 october 2016 at http://www.sciencedirect.com/science/article/pii/S0020768316303122 .
Model is applied to a multistrand ccable given in a book by Costello (1990). Axial stiffness results compare very well.
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RVE analysis is popular for computational homogenization. It can be used independently for virtual testing or as a module for multiscale modeling. Its popularity is mainly due to the maturity and acceptance of commercial finite element software. RVE analysis usually requires a 3D domain to obtain 3D properties and local fields. If a 2D RVE is used, only 2D properties and local fields are obtained. To obtain the complete set of properties, multiple analysis is needed. For example, to obtain the complete stiffness matrix, six 3D RVE analyses are needed.
