Caglar Oskay delivered an invited lecture at University of Illinois at Urbana-Champaign
Lecture Title: Reduced-Order Multiscale Modeling of Heterogeneous Materials and Structures
Location: Department of Aerospace Engineering, University of Illinois at Urbana-Champaign.
Abstract:
Tremendous amount of effort has been devoted to the development of multiscale computational modeling and simulation strategies for predicting the mechanical and functional response of heterogeneous materials over the past few decades. The focus of this talk is on the coupled-hierarchical (aka. information passing) type of multiscale computational modeling for prediction of the mechanical behavior and progressive failure under various loading conditions. While this type of multiscale modeling has a plethora of benefits from the modeling perspective, high computational complexity associated with the “tyranny of scales” so far limited its impact beyond the academic realm.
In this talk, we will present a reduced order multiscale modeling approach, known as the eigendeformation based reduced order homogenization method (EHM) for computationally efficient and accurate multiscale analysis of materials with heterogeneous microstructures. EHM employs the idea of precomputing certain information on the material microstructure such as the influence functions, localization operators and coefficient tensors through RVE scale simulations, prior to the macroscale analysis. The model order is reduced by assuming that the inelastic response fields within the RVE are spatially piecewise constant within subdomains of the characteristic volume. The applications of the EHM method to polycrystalline metals as well as polymer matrix composite microstructures will be presented. We will also present the results of recent blind prediction studies on the static and fatigue failure response of carbon fiber reinforced composite materials. These studies are a part of a larger Air Force program on the assessment and quantification of applying damage tolerant design principles to design and certification of aerospace composite structures.