Probabilistic modeling and identification of intercorrelated random fields with bounds: Application to linear elastic struts and fibers
Speaker: Hussein Rappel (The Alan Turing Institute, UK)
Title: Probabilistic modeling and identification of intercorrelated random fields with bounds: Application to linear elastic struts and fibers
Time: Wednesday, 2021.04.07, 10:00 a.m. (CET)
Place: fully virtual (contact Dr. Jakub Lengiewicz to register)
Format: 30 min. presentation + 30 min. discussion
Abstract: Many materials and structures consist of numerous slender struts or fibers. Due to the manufacturing process of man-made struts (and the growth process of biological fibers), their mechanical response fluctuates from strut to strut, as well as locally within each strut. In associated mechanical models each strut is often represented by a string of beam elements. The parameter input fields of each string are ideally such that the local fluctuations and fluctuations between individual strings are accurately captured. The aim of this contribution is to identify the parameters of the random fields from which each set of input fields is considered to be a realization. As only a few sets of input fields are available (due to time constraints of the supposed experimental techniques), this identification problem is ill-posed. A probabilistic identification approach based on Bayes’ theorem is employed to treat this ill-posedness, as well as the involved uncertainties.