Stochastic Modeling of Microstructures - Rilegato

Sobczyk, Kazimierz; Kirkner, David J.

Rilegato

ISBN 10: 0817642331 ISBN 13: 9780817642334

Casa editrice: Birkhauser Boston Inc, 2001

Riassunto

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

Su questo libro

Recensione

"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

Contenuti

Preface Introduction Probability and Random Variables: A Short Resume Continuous Random Fields Random Point Fields Statistical Inference Material Media Microstructure: Modeling Issues Physical Phenomena in Random Microstructures: Selected Applications References Author Index Subject Index

Dettagli dell?edizione

• Editore: Birkhauser Boston Inc
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 0817642331
• ISBN 13: 9780817642334
• Rilegatura: Copertina rigida
• Numero di pagine: 270
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania