Abstract: This paper presents a polynomial dimensional decomposition method for calculating the probability distributions of random crack-driving forces commonly encountered in elastic-plastic fracture analysis ...

Abstract: This technical note presents explicit formulas for calculating the response moments of stochastic systems by polynomial dimensional decomposition entailing independent random input with arbitrary probability measures. The ...

Abstract: This paper presents an extended polynomial dimensional decomposition method for solving stochastic problems subject to independent random input following an arbitrary probability distribution. The method involves ...

Abstract: A Markov model is proposed to evaluate seismic performance and sensitivity to initial state of structural systems and determine the vulnerability of structures exposed to one or more earthquakes. The method of analysis is ...

Abstract: A new method is presented for shape sensitivity analysis of a crack in a homogeneous, isotropic, and linear-elastic body subject to mode-I loading conditions. The method involves the material ...