Probabilistic effective characteristics of cables for superconducting coils Original Research Article

The article is devoted to computational estimation of the probabilistic effective properties of the superconducting coil cable 4-component composite. For this purpose the well-known deterministic effective modules method has been used and reformulated for the case where the composite constituents elastic characteristics in the form of the Young moduli and Poisson coefficients have random elastic character. The variational formulation, being a modified virtual work principle has been implemented into the MCCEFF system, which is a probabilistic homogenization-oriented finite element program. The probabilistic approach implemented in the program is the Monte-Carlo Simulation (MCS) technique based on the random sampling and statistical estimation method. By using the program, the first four probabilistic moments of the effective elasticity tensor have been computed for the superconductors for coils with periodic cross-section and compared against the statistical estimators of the upper and lower bounds of the tensor.