Stochastic Modeling of Microstructures

Sobczyk, Kazimierz; Kirkner, David J.

ISBN 10: 0817642331 / ISBN 13: 9780817642334

Verlag: Birkhauser, 2001

May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 1.27. Bestandsnummer des Verkäufers G0817642331I4N00

Inhaltsangabe:

A major challenge in applied mathematics and mechanics of materials is to describe various types of material microstructures. The details of the microstructure of most natural and engineered materials are usually obscure; uncertainty and randomness are the inherent features. This complexity due to material heterogeneity has not been A major challenge in applied mathematics and mechanics of materials is to describe various types of material microstructures. The details of the microstructure of most natural and engineered materials are usually obscure; uncertainty and randomness are the inherent features. This complexity due to material heterogeneity has not been adequately described by current classical models and theories. Stochastic Modeling of Microstructures presents a concise and unified presentation of the basic principles and tools for the modeling of real materials, natural and man-made, that possess complex, random heterogeneity. The book uses the language and methods of random field theory combined with the basic constructs of stochastic geometry and geometrical/spatial statistics in order to give the reader the knowledge necessary to model various types of material microstructures. The application of the theoretical constructs reviewed in the first three chapters to the analysis of empirical data via the tools of statistical inference is also discussed. The final chapters address practical aspects of specific modeling problems. Features- ú First comprehensive introduction to the comparatively new field of stochastic modeling of material microstructures ú Presentation of basic tools required from the diverse subjects of random field theory, stochastic geometry and spatial statistics ú Provides background concepts from probability theory and stochastic processes are provided ú Applications from various fields are discussed, including stochastic wave propagation and the mechanics of

Bibliografische Details

Titel: Stochastic Modeling of Microstructures
Verlag: Birkhauser
Erscheinungsdatum: 2001
Einband: Hardcover
Zustand: Very Good
Zustand des Schutzumschlags: No Jacket