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When setting the appropriate material coefficients to zero, the piezoelectric, piezomagnetic, and purely anisotropic elastic Green's functions and their derivatives can all be obtained from the current solutions.
This two-scales homogenisation technique is associated with an efficient finite element procedure for computing effective material coefficients to be used with standard orthotropic 3D elements in structural codes.
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The effects of the material coefficients, side-to-thickness ratio, nodal distribution and shear correction factor are discussed.
The data were decomposed into projections of the two basis material coefficients according to the model set up earlier.
All the material coefficients are found to be expressed by coefficients common to saturated thermoporoelasticity and saturation-dependent effective stress coefficients.
These material coefficients are related to the material micro/macro-stiffnesses and the material's microstructural features.
Both the elliptic and heat solvers are shown to remain stable and efficient for material coefficient contrasts up to 106, thanks in part to the use of geometric multigrid.
The results from the experimental tests are used to determine material coefficients for the Yld2004-18p model (Barlat et al., 2005).
In addition to the basic mechanical characterization tests conducted to identify the material coefficients, in-plane compression tension experiments were conducted.
A key step of this method is to calculate the basis material coefficients calculation (b1 and b2) from the dual energy gray projections (g H and g L ).
We also discuss procedures that compute the material coefficients, the scheme advancing the radiation energy, and how to tally diffusion boundary fluxes in sections with Dirichlet boundary data.
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