Mathematics of Multiscale Materials

By: K. M. Golden (Editor), G. R. Grimmett (Editor), G. W. Milton (Editor)

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Hardcover | 26 June 1998 | Edition Number 387

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308 Pages

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24.77 x 16.51 x 1.91

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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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Foreword
Preface
Scaling limit for the incipient spanning clusters	p. 1
Bounded and unbounded level lines in two-dimensional random fields	p. 25
Transversely isotropic poroelasticity arising from thin isotropic layers	p. 37
Bounds on the effective elastic properties of martensitic polycrystals	p. 51
Statistical models for fracture	p. 63
Normal and anomalous diffusions in random flows	p. 81
Calculating the mechanical properties of materials from interatomic forces	p. 101
Granular media: some new results	p. 109
Elastic freedom in cellular solids and composite materials	p. 129
Weakly nonlinear conductivity and flicker noise near percolation	p. 155
Fine properties of solutions to conductivity equations with applications to composites	p. 179
Composite sensors and actuators	p. 209
Bounding the effective yield behavior of mixtures	p. 213
Upper bounds on electrorheological properties	p. 223
On spatiotemporal patterns in composite reactive media	p. 231
Equilibrium shapes of islands in epitaxially strained solid films	p. 255
Numerical simulation of the effective elastic properties of a class of cell materials	p. 271
Table of Contents provided by Blackwell. All Rights Reserved.

Mathematics of Multiscale Materials

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Hardcover

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