Koopman with inputs and control for constitutive law identification

Constitutive laws characterise the stress-strain relationship in a material. Determining a consti- tutive law experimentally typically involves subjecting the material to a prescribed deformation and measuring the force required to achieve it. There are numerous constitutive laws which have been developed to model the stress response of viscoelastic fluids, and the decision on which constitutive law should be fitted to data is largely based on the rheologist’s knowledge about the fluid in relation to the catalogue of standard models appearing in the literature. In this thesis, we present an alternative approach for determining a viscoelastic fluid’s constitutive law based on methods related to Koopman operator theory and Dynamic Mode Decomposition in the context of control. Our approach systematically extracts the material parameters that arise in stress-evolution equations of viscoelastic fluids directly from simulation or experimen- tal data. We will present results from various applications of the framework that highlight its accuracy and robustness in identifying material parameters and reconstructing the under- lying constitutive law. We will discuss how data should be supplied to the method, and also demonstrate how data from recently developed experimental protocols, as well as combined data from multiple experiments, can be used to improve resolution. Finally, we will show that our approach provides a natural way to utilise data from the nonlinear regime and extends to higher-dimensional data sets where spatial data within a sample is available.Open Acces

NASA thesaurus. Volume 1: Hierarchical Listing

There are over 17,000 postable terms and nearly 4,000 nonpostable terms approved for use in the NASA scientific and technical information system in the Hierarchical Listing of the NASA Thesaurus. The generic structure is presented for many terms. The broader term and narrower term relationships are shown in an indented fashion that illustrates the generic structure better than the more widely used BT and NT listings. Related terms are generously applied, thus enhancing the usefulness of the Hierarchical Listing. Greater access to the Hierarchical Listing may be achieved with the collateral use of Volume 2 - Access Vocabulary and Volume 3 - Definitions

NASA Thesaurus. Volume 1: Hierarchical listing

There are 16,713 postable terms and 3,716 nonpostable terms approved for use in the NASA scientific and technical information system in the Hierarchical Listing of the NASA Thesaurus. The generic structure is presented for many terms. The broader term and narrower term relationships are shown in an indented fashion that illustrates the generic structure better than the more widely used BT and NT listings. Related terms are generously applied, thus enhancing the usefulness of the Hierarchical Listing. Greater access to the Hierarchical Listing may be achieved with the collateral use of Volume 2 - Access Vocabulary

Electromagnetic Waves

This book is dedicated to various aspects of electromagnetic wave theory and its applications in science and technology. The covered topics include the fundamental physics of electromagnetic waves, theory of electromagnetic wave propagation and scattering, methods of computational analysis, material characterization, electromagnetic properties of plasma, analysis and applications of periodic structures and waveguide components, and finally, the biological effects and medical applications of electromagnetic fields

MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications

Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described