Mathematics of Multiscale Materials / edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen.

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...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Golden, Kenneth M.
Other Authors: Grimmett, Geoffrey R., James, Richard D., Milton, Graeme W., Sen, P. N. (Pabitra N.)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1998.
Series:IMA volumes in mathematics and its applications ; v. 99.
Subjects:
Table of Contents:
  • 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.