Titel: Mathematics of Multiscale Materials (The IMA Volumes in Mathematics and its Applications)
Verlag: Springer
Erscheinungsjahr: 2012
Sprache: Englisch
ISBN-10: 1461272564
ISBN-13: 9781461272564
Einband: Softcover
Zustand: New

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Inhaltsangabe

Polycrystalline metals, porous rocks, colloidal suspensions, epitaxial thin films, rubber, fibre reinforced composites, gels, foams, granular aggregates, sea ice, shape-memory metals, magnetic materials, electro- rheological fluids, and catalytic materials are all examples of materials where an understanding of the mathematics on the different length scales is a key to interpreting their physical behavior. In their analysis of these media, scientists coming from a multitude of professions have encountered similar mathematical problems, yet it is rare for researchers in the various fields to meet. The chapters in this volume have emerged from the 1995-1996 program at the Institute for Mathematics and its Applications devoted to Mathematical Methods

Rese�a del editor

The 1995-1996 program at the Institute for Mathematics and its Applications was devoted to mathematical methods in material science, and was attended by materials scientists, physicists, geologists, chemists engineers, and mathematicians. This volume contains chapters which emerged from four of the workshops, focusing on disordered materials; interfaces and thin films; mechanical response of materials from angstroms to meters; and phase transformation, composite materials and microstructure. The scales treated in these workshops ranged from the atomic to the macroscopic, the microstructures from ordered to random, and the treatments from "purely" theoretical to highly applied. Taken together, these results form a compelling and broad account of many aspects of the science of multi-scale materials, and will hopefully inspire research across the self-imposed barriers of twentieth century science.

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