A probabilistic Hu-Washizu variational principleA Probabilistic Hu-Washizu Variational Principle (PHWVP) for the Probabilistic Finite Element Method (PFEM) is presented. This formulation is developed for both linear and nonlinear elasticity. The PHWVP allows incorporation of the probabilistic distributions for the constitutive law, compatibility condition, equilibrium, domain and boundary conditions into the PFEM. Thus, a complete probabilistic analysis can be performed where all aspects of the problem are treated as random variables and/or fields. The Hu-Washizu variational formulation is available in many conventional finite element codes thereby enabling the straightforward inclusion of the probabilistic features into present codes.
Document ID
19870046305
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Liu, W. K. (Northwestern Univ. Evanston, IL, United States)
Belytschko, T. (Northwestern University Evanston, IL, United States)
Besterfield, G. H. (Northwestern Univ. Evanston, IL, United States)