Articoli correlati a Mathematics of Multiscale Materials: 99
Sinossi
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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Contenuti
Scaling limit for the incipient spanning clusters.- Bounded and unbounded level lines in two-dimensional random fields.- Transversely isotropic poroelasticity arising from thin isotropic layers.- Bounds on the effective elastic properties of martensitic polycrystals.- Statistical models for fracture.- Normal and anomalous diffusions in random flows.- Calculating the mechanical properties of materials from interatomic forces.- Granular media: some new results.- Elastic freedom in cellular solids and composite materials.- Weakly nonlinear conductivity and flicker noise near percolation.- Fine properties of solutions to conductivity equations with applications to composites.- Composite sensors and actuators.- Bounding the effective yield behavior of mixtures.- Upper bounds on electrorheological properties.- On spatiotemporal patterns in composite reactive media.- Equilibrium shapes of islands in epitaxially strained solid films.- Numerical simulation of the effective elastic properties of a class of cell materials.
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Mathematics of Multiscale Materials (The IMA Volumes in Mathematics and its Applications, 99)
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Mathematics of multiscale materials Kenneth M. Golden. . The IMA volumes in mathematics and its applications 99.
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New York, Springer [1998]., 1998
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ISBN 13: 9780387985282
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Mathematics of Multiscale Materials
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Polycrystalline metals, porous rocks, colloidal suspensions, epitaxial thin films, gels, foams, granular aggregates, sea ice, shape-memory metals, magnetic materials, and electro-rheological fluids 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 number of disciplines have encountered similar mathematical problems, yet it is rare for researchers in the various fields to meet. 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. The present volume contains chapters which have emerged from four of the workshops held during the year, focusing on the following areas: 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 microstructural to the macroscopic, the microstructures from ordered to random, and the treatments from 'purely' theoretical to the highly applied. Taken together, these works form a compelling and broad account of many aspects of the science of multiscale materials, and will hopefully inspire research across the self-imposed barriers of twentieth century science. 308 pp. Englisch. Codice articolo 9780387985282
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 . Codice articolo 5913355
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