Mathematics of Multiscale Materials (eBook, PDF)

Redaktion: Golden, Kenneth M.; Sen, Pabitra N.; Milton, Graeme W.; James, Richard D.; Grimmett, Geoffrey R.

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 287
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461217282
• Artikelnr.: 43982778

Autorenporträt

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

Inhaltsangabe

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.