Stochastic Modeling of Microstructures (Paperback)

Kazimierz Sobczyk

ISBN 10: 146126622X / ISBN 13: 9781461266228

Published by Springer-Verlag New York Inc., New York, 2012

About this Item

Paperback. A major challenge in applied mathematics and mechanics of materials isto describe various types of material microstructures. The details ofthe microstructure of most natural and engineered materials areusually obscure; uncertainty and randomness are the inherent features.This complexity due to material heterogeneity has not been A majorchallenge in applied mathematics and mechanics of materials is todescribe various types of material microstructures. The details of themicrostructure of most natural and engineered materials are usuallyobscure; uncertainty and randomness are the inherent features. Thiscomplexity due to material heterogeneity has not been adequatelydescribed by current classical models and theories. StochasticModeling of Microstructures presents a concise and unifiedpresentation of the basic principles and tools for the modeling ofreal materials, natural and man-made, that possess complex, randomheterogeneity. The book uses the language and methods of random fieldtheory combined with the basic constructs of stochastic geometry andgeometrical/spatial statistics in order to give the reader theknowledge necessary to model various types of materialmicrostructures. The application of the theoretical constructsreviewed in the first three chapters to the analysis of empirical datavia the tools of statistical inference is also discussed. The finalchapters address practical aspects of specific modeling problems.Features- u First comprehensive introduction to the comparatively newfield of stochastic modeling of material microstructures uPresentation of basic tools required from the diverse subjects ofrandom field theory, stochastic geometry and spatial statistics uProvides background concepts from probability theory and stochasticprocesses are provided u Applications from various fields arediscussed, including stochastic wave propagation and the mechanics of A major challenge in applied mathematics and mechanics of materials is to describe various types of material microstructures. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9781461266228

Bibliographic Details

• Title: Stochastic Modeling of Microstructures (Paperback)
• Publisher: Springer-Verlag New York Inc., New York
• Publication Date: 2012
• Language: English
• ISBN 10: 146126622X
• ISBN 13: 9781461266228
• Binding: Paperback
• Condition: new

About this title

Synopsis

This book presents the language of random field theory and the principles of stochastic geometry in order to give the systematic and concise knowledge necessary for modeling real random heterogeneous media. This book is ideal for a general scientific audience needing an in-depth guide to current ideas, methods and models for the stochastic modeling of microstructures. It is an essential reference for practitioners, researchers and professionals in material modeling, mechanical engineering, materials science, chemical, civil, environmental engineering and applied mathematics.

Review

"It is the objective of this book to provide the basic principles and results of the theory of random fields (both continuous and discrete) with special emphasis on methods that are important for the modeling of real random material microstructures.... The book may be viewed as a comprehensive introduction to the field of stochastic modeling of material microstructures and will be useful for researchers and professionals in material modeling, engineering and in applied mathematics in general." ―Applications of Mathematics