Dr. Alba Sofi (University of Mediterranea of Reggio Calabria)

Finite Element Procedures for the Analysis of Structures with Interval Uncertainties
When Nov 06, 2017
from 02:00 PM to 03:00 PM
Where LR8
Contact Name
Contact Phone 01865-283446
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University “Mediterranea” of Reggio Calabria, Italy

 

The growing awareness of the influence of inevitable uncertainties on the performance of engineering systems has stimulated an increasing interest towards the development of efficient non-deterministic numerical procedures to achieve more robust and reliable designs. In this context, a major challenge is to incorporate the non-deterministic input parameters into standard finite element models and then develop efficient propagation strategies.

The Stochastic Finite Element Method (SFEM) may be regarded as the most powerful tool currently available to integrate random input parameters into numerical modelling. Recently, much research effort has been devoted to develop a similar tool within a non-probabilistic framework, giving rise among others to the so-called Interval Finite Element Method (IFEM) where the uncertain parameters are modelled as interval variables with given lower bound (LB) and upper bound (UB). Such a model proves to be very useful when available data are insufficient to build a credible probabilistic model of the uncertain parameters, as it happens in early design stages.

Three main challenging tasks need to be faced in the development of IFEMs: i) to reduce the overestimation of the interval solution range due to the so-called dependency phenomenon, which typically affects methods based on the Classical Interval Analysis; ii) to properly take into account the inherent spatial character of uncertainties, like material or geometric properties; iii) to build computationally efficient propagation procedures.

This presentation focuses on a recently developed IFEM, which is able to successfully address all the aforementioned challenges. The implementation of the proposed IFEM into the commercial FE software ABAQUS by User Subroutines and Python scripts is described. Several applications, including composite laminates with uncertain material properties, are presented.