Stochastic finite element methods (SFEM) are commonly used to investigate the influence of uncertainties on the response of linear solid mechanics problems. In this contribution a stochastic finite element method is applied to a continuum damage model, which is a non-linear solid mechanics problem. The influence of two sources of randomness is investigated. Numerical results show that applicability of spectral SFEM to the problem of non-linear solid mechanics is promising. However, discontinuities caused by loading conditions cannot yet be dealt with elegantly, which can put serious limitations on the applicability of the method.
|Title of host publication||Proceedings of the 10th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP 10), 31 July - 3 August 2007, Tokyo, Japan|
|Editors||J. Kanda, T. Takada, H. Furuta|
|Place of Publication||Tokyo, Japan|
|Publisher||Taylor and Francis Ltd.|
|Publication status||Published - 2007|