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XLatexIt! run report...
Hi,*** Found _expression_ $$\sigma_{ij}^{macro}/compacity$$
Image was already generated
*** Found _expression_ $$\int_V s_{ij}dV = \int_{S_V} x_i.s_{ij}.n_j.dS = \sum_kx_i^k.f_j^k$$
I've been adding another definition of stress in particles (not adapted to periodic BCs yet, though not difficult). For those interested. The documentation is pasted below. _____________ Compute the exact mean stress tensor in each sphere from the contour integral of applied load. After divergence theorem, at equilibrium:  .This relation applies for arbitrary shapes but the result has to be divided by the solid's volume, computed here using the radii, hence assuming spheres. The (weighted) average of per-body stresses is exactly equal to the average stress in the solid phase, i.e.  ._____________ Cheers. Bruno |
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