Stochastic stable node-based smoothed finite element method for uncertainty and reliability analysis of thermo-mechanical problems

This thesis herein proposes a stochastic stable node-based smoothed finite element method for uncertainty and reliability analysis of thermo-mechanical problems. First, the deterministic ingredient of the thermo-mechanical solution is accurately solved by our proposed stable node-based smoothed finite element method (SNS-FEM); and the stochastic ingredient including the fourth-order moment and probability density functions (PDFs) is obtained via...