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Applications of Homogenization Theory to the Study of Mineralized Tissue

Robert P. Gilbert | Ana Vasilic | Sandra Klinge | Alex Panchenko | Klaus Hackl
€132.99
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A01=Alex Panchenko
A01=Ana Vasilic
A01=Klaus Hackl
A01=Robert P. Gilbert
A01=Sandra Klinge
advanced elasticity modeling in biological tissues
Asymptotic Expansions
Author_Alex Panchenko
Author_Ana Vasilic
Author_Klaus Hackl
Author_Robert P. Gilbert
Author_Sandra Klinge
Bilinear Form
biomechanics research
Bone Microstructure
Cancellous Bone
Category=PBKJ
composite materials analysis
Constitutive Equations
Displacement Vector
Effective Elasticity Tensor
Effective Material Parameters
Effective Shear Modulus
Elasticity Tensor
Element E1
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fluid Part
Friedrich's Inequality
functional analysis methods
G-convergence
graduate mathematics textbook
Homogenization theory
Hydrophilic Gel
Hysteresis Loop
Lax Milgram Theorem
Merit Function
Mineralized tissue functions
Multiscale Fem
multiscale modeling
PML
Poroelastic Materials
Porous media
porous structures simulation
Representative Elementary Volume
RVE
Solid Volume Fraction
Trace Theorem
Viscoelastic matrix
Weak Derivatives

Product details

  • ISBN 9781584887911
  • Weight: 562g
  • Dimensions: 156 x 234mm
  • Publication Date: 29 Dec 2020
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Description

Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in complex structures.

Applications of Homogenization Theory to the Study of Mineralized Tissue functions as an introduction to the theory of homogenization. At the same time, the book explains how to apply the theory to various application problems in biology, physics and engineering.

The authors are experts in the field and collaborated to create this book which is a useful research monograph for applied mathematicians, engineers and geophysicists. As for students and instructors, this book is a well-rounded and comprehensive text on the topic of homogenization for graduate level courses or special mathematics classes.

Features:

  • Covers applications in both geophysics and biology.

  • Includes recent results not found in classical books on the topic

  • Focuses on evolutionary kinds of problems; there is little overlap with books dealing with variational methods and T-convergence

  • Includes new results where the G-limits have different structures from the initial operators
About Alex Panchenko | Ana Vasilic | Klaus Hackl | Robert P. Gilbert | Sandra Klinge
Robert P. Gilbert is a Unidel Professor of Mathematics at the University of Delaware and has authored numerous papers and articles for journals and conferences. He is also a founding editor of Complex Variables and Applicable Analysis and serves on many editorial boards. His current research involves the area of inverse problems, homogenization and the flow of viscous fluids. Ana Vasilic is an associate professor of mathematics at Northern New Mexico College. She has contributed to mathematical publications such as Mathematical and Computer Modeling and Applicable Analysis. Her research interests include applied analysis, partial differential equations, homogenization and multiscale problems in porous media. Sandra Klinge is an assistant professor in computational mechanics at Technische Universitat, Dortmund, Germany. She has written several articles for science journals and contributed to many books. Homogenization, modeling of polymers and multiscale modeling are among her research interests. Alex Panchenko is a professor of mathematics at Washington State University and has written for several publications, many of which are collaborations with Robert Gilbert. These include journals such as SIAM Journal Math. Analysis and Mathematical and Computer Modeling. Klaus Hackl is a professor of mechanics at Ruhr-Universitat Bochum, Germany and has made many scholarly contributions to various journals. His research interests include continuum mechanics, numerical mechanics, modeling of materials and multiscale problems.     　  

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