A Green-function-based multiscale method for uncertainty quantification of finite body random heterogeneous materials

作者：Xu X Frank^*; Chen Xi; Shen Lihua

来源：Computers & Structures, 2009, 87(21-22): 1416-1426.

DOI：10.1016/j.compstruc.2009.05.009

• Green-function-based multiscale method
• Uncertainty quantification
• Boundary value problems
• Random heterogeneous materials
• Scale-coupling

Classical continuum theories are formulated based on the assumption of large scale separation. For scale-coupling problems involving uncertainties, novel multiscale methods are desired. In this study, by employing the generalized variational principles, a Green-function-based multiscale method is formulated to decompose a boundary value problem with random microstructure into a slow scale deterministic problem and a fast scale stochastic one. The slow scale problem corresponds to common engineering practices by smearing out fine-scale microstructures. The fast scale problem evaluates fluctuations due to random microstructures, which is important for scale-coupling systems and particularly failure problems. Two numerical examples are provided at the end.

• 出版日期2009-11
• 单位首都师范大学