Kategoria BISAC: Mathematics >> Numerical Analysis

Since mathematical models express our understanding of how nature behaves, we use them to validate our understanding of the fundamentals about systems (which could be processes, equipment, procedures, devices, or products). Also, when validated, the model is useful for engineering applications related to diagnosis, design, and optimization.

First, we postulate a mechanism, then derive a model grounded in that mechanistic understanding. If the model does not fit the data, our understanding of the mechanism was wrong or incomplete. Patterns in the residuals can guide model...

Polymer composites are often submitted to severe humid environmental conditions during their service life. Moisture absorption by the polymer matrix induces various multiphysics effects that can significantly impair the functions and durability of the mechanical parts: weight gain, plasticization (reversible loss of mechanical properties, i.e. stiffness and ultimate strength), hygroscopic strains (volume change) and, eventually, damage. Most of these phenomena induced by the internal distribution of water also affect the moisture absorption process. This book is focused on the multi-scale...

Designing and controlling complex shapes like porous volumes and rough surfaces is a challenge. Fractal geometry is an interesting approach which considerably simplify the problem. Even though underlying concepts reduce the set possible shapes, they generate a surprising variety of shapes.

In this book we present a formalism to design such complex objects for geometric aided geometry design applications. The goal of this formalism is to provide to the end user the possibility to manipulate fractal objects as a standard euclidean object with standard tools of CAD system. This...

ECM2 is a completely updated and expanded Second Edition of the well-established Encyclopedia of Computational Mechanics. The project has once again been prepared under the guidance of three of the world's foremost experts in the field:

• Erwin Stein, Professor Emeritus, Stein Institut fUr Baumechanik und Numerische Mechanik, Leibniz UniversitAt, Hannover, Germany
• RenE de Borst, Centenary Professor of Civil Engineering, University of Sheffield, UK
• Thomas J. R. Hughes, Peter O'Donnell Jr. Chair in Computational and Applied Mathematics and Professor of Aerospace...

The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the whole spectrum of applied mathematics, including its numerical aspects. The focus of the series is on the interplay between mathematical and numerical analysis, and also on its applications to mathematical models in the physical and life sciences.

The aim of the series is to be an active forum for the dissemination of up-to-date information in the form of authoritative works that will serve the applied mathematics community as the basis for further research.