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Mathematics of Multiscale Materials (Hardcover, 387th 1998 ed.)
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Mathematics of Multiscale Materials (Hardcover, 387th 1998 ed.)
Series: The IMA Volumes in Mathematics and its Applications, 99
Expected to ship within 10 - 15 working days
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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.
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