In manufacturing of metal casts defects like porosity can occur. It is not reasonable to include each pore in simulation. Instead, the exact description is replaced by effective mechanical properties, which we aim to calculate in this work. As the shape and the distribution of pores can vary substantially, it is difficult to determine effective mechanical properties. In this work, we have expanded the software environment EDO_SP so that it can be used for calculations of stresses and deformations on domains with holes. Using local collocation method with radial basis functions implemented in EDO_SP we have determined the dependence of the effective Young's modulus, and the effective Poisson's ratio on the porosity. Calculations have been performed in plane stress approximation for circular pores and for pore fractions up to 30 %. To perform the calculations, an algorithm for automatic node generation in computational domain that contains randomly positioned and variably-sized pores was developed. Using this algorithm we ascertained that the obtained relation between the effective Young's modulus and the porosity matches well the relation documented in existing research.
|
